{"id":"https://openalex.org/W1499096089","doi":null,"title":"On the existence and uniqueness of solution trajectories to hybrid dynamical systems","display_name":"On the existence and uniqueness of solution trajectories to hybrid dynamical systems","publication_year":2002,"publication_date":"2002-01-01","ids":{"openalex":"https://openalex.org/W1499096089","mag":"1499096089"},"language":"en","primary_location":{"id":"pmh:oai:tilburguniversity.edu:openaire_cris_publications/fe11e159-5ad4-49a6-a340-813f32c3c8c1","doi":null,"is_oa":false,"landing_page_url":"https://research.tilburguniversity.edu/en/publications/fe11e159-5ad4-49a6-a340-813f32c3c8c1","pdf_url":null,"source":{"id":"https://openalex.org/S4306401490","display_name":"Research portal (Tilburg University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I193700539","host_organization_name":"Tilburg University","host_organization_lineage":["https://openalex.org/I193700539"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Heemels, W P M H, Camlibel, M K, van der Schaft, A J & Schumacher, J M 2003, On the existence and uniqueness of solution trajectories to hybrid dynamical systems. in R Johansson & A Rantzer (eds), Nonlinear and Hybrid Control in Automotive Applications. Springer Verlag, Berlin, pp. 391-422.","raw_type":"info:eu-repo/semantics/bookPart"},"volume":null,"type":"book-chapter","is_traditional":true,"indexed_in":[],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5063241688","display_name":"W.P.M.H. Heemels","orcid":"https://orcid.org/0000-0003-3440-8007","observed_orcids":["https://orcid.org/0000-0003-3440-8007"]},"institutions":[{"id":"https://openalex.org/I83019370","display_name":"Eindhoven University of Technology","ror":"https://ror.org/02c2kyt77","country_code":"NL","type":"education","lineage":["https://openalex.org/I83019370"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"W.P.M.H. Heemels","raw_affiliation_strings":["EINDHOVEN UNIVERSITY OF TECHNOLOGY"],"raw_orcid":"https://orcid.org/0000-0003-3440-8007","affiliations":[{"raw_affiliation_string":"EINDHOVEN UNIVERSITY OF TECHNOLOGY","institution_ids":["https://openalex.org/I83019370"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5000993019","display_name":"M. Kanat Camlibel","orcid":"https://orcid.org/0000-0002-2407-8166","observed_orcids":["https://orcid.org/0000-0002-2407-8166"]},"institutions":[{"id":"https://openalex.org/I169381384","display_name":"University of Groningen","ror":"https://ror.org/012p63287","country_code":"NL","type":"education","lineage":["https://openalex.org/I169381384"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"M. Kanat Camlibel","raw_affiliation_strings":["university of Groningen"],"raw_orcid":"https://orcid.org/0000-0002-2407-8166","affiliations":[{"raw_affiliation_string":"university of Groningen","institution_ids":["https://openalex.org/I169381384"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5005018540","display_name":"Arjan J. van der Schaft","orcid":"https://orcid.org/0000-0002-2383-9234","observed_orcids":["https://orcid.org/0000-0002-2383-9234"]},"institutions":[{"id":"https://openalex.org/I94624287","display_name":"University of Twente","ror":"https://ror.org/006hf6230","country_code":"NL","type":"education","lineage":["https://openalex.org/I94624287"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Arjan van der Schaft","raw_affiliation_strings":["Department of Applied Mathematics, University of Twente,"],"raw_orcid":"https://orcid.org/0000-0002-2383-9234","affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, University of Twente,","institution_ids":["https://openalex.org/I94624287"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5009130860","display_name":"Johannes M. Schumacher","orcid":"https://orcid.org/0000-0001-5753-3412","observed_orcids":["https://orcid.org/0000-0001-5753-3412"]},"institutions":[{"id":"https://openalex.org/I193700539","display_name":"Tilburg University","ror":"https://ror.org/04b8v1s79","country_code":"NL","type":"education","lineage":["https://openalex.org/I193700539"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Johannes Schumacher","raw_affiliation_strings":["(Tilburg University)"],"raw_orcid":"https://orcid.org/0000-0001-5753-3412","affiliations":[{"raw_affiliation_string":"(Tilburg University)","institution_ids":["https://openalex.org/I193700539"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5084540714","display_name":"Rolf Johansson","orcid":"https://orcid.org/0000-0002-0786-8561","observed_orcids":["https://orcid.org/0000-0002-0786-8561"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Rolf Johansson","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0002-0786-8561","affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5091667471","display_name":"Anders Rantzer","orcid":"https://orcid.org/0000-0001-7118-2786","observed_orcids":["https://orcid.org/0000-0001-7118-2786"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Anders Rantzer","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0001-7118-2786","affiliations":[]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.2888,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.8690569,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":87,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"391","last_page":"422"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Verification","score":0.8446999788284302,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Verification","score":0.8446999788284302,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.019500000402331352,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T13286","display_name":"Modeling and Simulation Systems","score":0.01720000058412552,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/hybrid-dynamical-systems","display_name":"hybrid dynamical systems","score":0.9990000128746033},{"id":"https://openalex.org/keywords/well-posedness","display_name":"well-posedness","score":0.972000002861023},{"id":"https://openalex.org/keywords/existence-of-solutions","display_name":"existence of solutions","score":0.8980000019073486},{"id":"https://openalex.org/keywords/uniqueness-of-solutions","display_name":"uniqueness of solutions","score":0.9980000257492065},{"id":"https://openalex.org/keywords/solution-trajectories","display_name":"solution trajectories","score":0.9240000247955322},{"id":"https://openalex.org/keywords/discrete-action","display_name":"discrete action","score":0.5879999995231628},{"id":"https://openalex.org/keywords/continuous-time-dynamics","display_name":"continuous-time dynamics","score":0.8240000009536743},{"id":"https://openalex.org/keywords/initial-conditions","display_name":"initial conditions","score":0.546999990940094}],"concepts":[{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.8327028155326843},{"id":"https://openalex.org/C50897621","wikidata":"https://www.wikidata.org/wiki/Q2665508","display_name":"Hybrid system","level":2,"score":0.6733039021492004},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.6286474466323853},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.6238386631011963},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.5860664248466492},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4844241440296173},{"id":"https://openalex.org/C33962884","wikidata":"https://www.wikidata.org/wiki/Q378637","display_name":"Dynamical system (definition)","level":3,"score":0.47132351994514465},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.43059250712394714},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3368214964866638},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.14798468351364136},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.06684091687202454},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.05902379751205444},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":12,"locations":[{"id":"pmh:oai:tilburguniversity.edu:openaire_cris_publications/fe11e159-5ad4-49a6-a340-813f32c3c8c1","doi":null,"is_oa":false,"landing_page_url":"https://research.tilburguniversity.edu/en/publications/fe11e159-5ad4-49a6-a340-813f32c3c8c1","pdf_url":null,"source":{"id":"https://openalex.org/S4306401490","display_name":"Research portal (Tilburg University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I193700539","host_organization_name":"Tilburg University","host_organization_lineage":["https://openalex.org/I193700539"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Heemels, W P M H, Camlibel, M K, van der Schaft, A J & Schumacher, J M 2003, On the existence and uniqueness of solution trajectories to hybrid dynamical systems. in R Johansson & A Rantzer (eds), Nonlinear and Hybrid Control in Automotive Applications. Springer Verlag, Berlin, pp. 391-422.","raw_type":"info:eu-repo/semantics/bookPart"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.106.1416","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.106.1416","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.dct.tue.nl/New/Heemels/preprint_HeeCam_03_automotive.pdf","raw_type":"text"},{"id":"pmh:uvt:oai:tilburguniversity.edu:publications/fe11e159-5ad4-49a6-a340-813f32c3c8c1","doi":null,"is_oa":false,"landing_page_url":"https://research.tilburguniversity.edu/en/publications/fe11e159-5ad4-49a6-a340-813f32c3c8c1","pdf_url":null,"source":{"id":"https://openalex.org/S4306401843","display_name":"Data Archiving and Networked Services (DANS)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I1322597698","host_organization_name":"Royal Netherlands Academy of Arts and Sciences","host_organization_lineage":["https://openalex.org/I1322597698"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Nonlinear and Hybrid Control in Automotive Applications, 391 - 422","raw_type":"info:eu-repo/semantics/bookpart"},{"id":"pmh:602992","doi":null,"is_oa":false,"landing_page_url":"http://library.tue.nl/csp/dare/LinkToRepository.csp?recordnumber=602992","pdf_url":null,"source":{"id":"https://openalex.org/S4406922641","display_name":"TU/e Research Portal","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ISBN:1-85233-652-8","raw_type":"Part of book or chapter of book"},{"id":"pmh:oai:library.tue.nl:602992","doi":null,"is_oa":false,"landing_page_url":"http://repository.tue.nl/602992","pdf_url":null,"source":{"id":"https://openalex.org/S4406922641","display_name":"TU/e Research Portal","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ISBN:1-85233-652-8","raw_type":"Part of book or chapter of book"},{"id":"pmh:oai:pure.rug.nl:openaire_cris_publications/828aa2ee-25c8-46fc-966b-e1b3049cf4b7","doi":null,"is_oa":false,"landing_page_url":"https://research.rug.nl/en/publications/828aa2ee-25c8-46fc-966b-e1b3049cf4b7","pdf_url":null,"source":{"id":"https://openalex.org/S4306400420","display_name":"University of Groningen research database (University of Groningen / Centre for Information Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I169381384","host_organization_name":"University of Groningen","host_organization_lineage":["https://openalex.org/I169381384"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Heemels , WPMH , Camlibel , MK , Van der Schaft , AJ & Schumacher , JM 2002 , On the existence and uniqueness of solution trajectories to hybrid dynamical systems . in Nonlinear and Hybrid Systems in Automotive Control . pp. 391-422 .","raw_type":"bookPart"},{"id":"pmh:oai:pure.tue.nl:openaire_cris_publications/b2ad89a7-65cb-40b6-970b-927f587fcf26","doi":null,"is_oa":false,"landing_page_url":"https://research.tue.nl/en/publications/b2ad89a7-65cb-40b6-970b-927f587fcf26","pdf_url":null,"source":{"id":"https://openalex.org/S4406922641","display_name":"TU/e Research Portal","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Heemels, W P M H, Camlibel, M K, Schaft, van der, A J & Schumacher, J M 2002, On the existence and uniqueness of solution trajectories to hybrid dynamical systems. in R Johannson & A Rantzer (eds), Nonlinear and hybrid systems in automotive control. Springer, London, pp. 391-421.","raw_type":"info:eu-repo/semantics/bookPart"},{"id":"pmh:rug:oai:pure.rug.nl:publications/828aa2ee-25c8-46fc-966b-e1b3049cf4b7","doi":null,"is_oa":false,"landing_page_url":"https://research.rug.nl/en/publications/828aa2ee-25c8-46fc-966b-e1b3049cf4b7","pdf_url":null,"source":{"id":"https://openalex.org/S4306400420","display_name":"University of Groningen research database (University of Groningen / Centre for Information Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I169381384","host_organization_name":"University of Groningen","host_organization_lineage":["https://openalex.org/I169381384"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Nonlinear and Hybrid Systems in Automotive Control, 391 - 422","raw_type":"info:eu-repo/semantics/bookpart"},{"id":"pmh:tue:oai:library.tue.nl:602992","doi":null,"is_oa":false,"landing_page_url":"http://repository.tue.nl/602992","pdf_url":null,"source":{"id":"https://openalex.org/S4406922641","display_name":"TU/e Research Portal","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Nonlinear and hybrid systems in automotive control, 391","raw_type":"info:eu-repo/semantics/bookpart"},{"id":"pmh:tue:oai:pure.tue.nl:publications/b2ad89a7-65cb-40b6-970b-927f587fcf26","doi":null,"is_oa":false,"landing_page_url":"https://research.tue.nl/nl/publications/b2ad89a7-65cb-40b6-970b-927f587fcf26","pdf_url":null,"source":{"id":"https://openalex.org/S4406922641","display_name":"TU/e Research Portal","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Nonlinear and hybrid systems in automotive control, 391 - 421","raw_type":"info:eu-repo/semantics/bookpart"},{"id":"mag:3022946024","doi":null,"is_oa":false,"landing_page_url":"https://www.narcis.nl/publication/RecordID/oai%3Atilburguniversity.edu%3Apublications%2Ffe11e159-5ad4-49a6-a340-813f32c3c8c1","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":null},{"id":"mag:1499096089","doi":null,"is_oa":false,"landing_page_url":"http://heemels.tue.nl/content/papers/HeeCam_BOOK_CONTRIB03a.pdf","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":36,"referenced_works":["https://openalex.org/W189878098","https://openalex.org/W1486118835","https://openalex.org/W1514218977","https://openalex.org/W1536397656","https://openalex.org/W1592648094","https://openalex.org/W1594130515","https://openalex.org/W1598634407","https://openalex.org/W1891915427","https://openalex.org/W1960239420","https://openalex.org/W1965623622","https://openalex.org/W1990042683","https://openalex.org/W2000151369","https://openalex.org/W2004463571","https://openalex.org/W2024670401","https://openalex.org/W2064028560","https://openalex.org/W2068864491","https://openalex.org/W2083943372","https://openalex.org/W2101368224","https://openalex.org/W2102307910","https://openalex.org/W2102739878","https://openalex.org/W2105355605","https://openalex.org/W2108906687","https://openalex.org/W2109646661","https://openalex.org/W2118477082","https://openalex.org/W2119382067","https://openalex.org/W2127015451","https://openalex.org/W2138947309","https://openalex.org/W2146560209","https://openalex.org/W2149675356","https://openalex.org/W2152112251","https://openalex.org/W2152185829","https://openalex.org/W2152665017","https://openalex.org/W2164759324","https://openalex.org/W2505829934","https://openalex.org/W2737725608","https://openalex.org/W4231359949"],"related_works":["https://openalex.org/W2148160500","https://openalex.org/W2319430438","https://openalex.org/W4243579234","https://openalex.org/W2119243857","https://openalex.org/W2131853592","https://openalex.org/W2129231075","https://openalex.org/W2104769107","https://openalex.org/W2168183054","https://openalex.org/W7124704885","https://openalex.org/W2614928741"],"abstract_inverted_index":{"In":[0],"this":[1],"paper":[2,76],"we":[3],"study":[4],"the":[5,23,65,83,97],"fundamental":[6],"system-theoretic":[7],"property":[8],"of":[9,14,27,90,99],"well-posedness":[10],"for":[11,43,92,103],"several":[12],"classes":[13],"hybrid":[15,104],"dynamical":[16],"systems.":[17,105],"Hybrid":[18],"systems":[19],"are":[20,49,73],"characterized":[21],"by":[22],"presence":[24],"and":[25,30,88],"interaction":[26],"continuous":[28],"dynamics":[29],"discrete":[31],"actions.":[32],"Many":[33],"different":[34],"description":[35,62,101],"formats":[36,102],"have":[37],"been":[38],"proposed":[39,47],"in":[40,96],"recent":[41],"years":[42],"such":[44],"systems;":[45],"some":[46],"forms":[48],"quite":[50],"direct,":[51],"others":[52],"lead":[53],"to":[54,69,78],"rather":[55],"indirect":[56,60],"descriptions.":[57],"The":[58],"more":[59],"a":[61,80],"form":[63],"is,":[64],"harder":[66],"it":[67],"becomes":[68],"show":[70],"that":[71],"solutions":[72,91],"well-defined.":[74],"This":[75],"intends":[77],"provide":[79],"survey":[81],"on":[82,86],"available":[84],"results":[85],"existence":[87],"uniqueness":[89],"given":[93],"initial":[94],"conditions":[95],"context":[98],"various":[100],"1":[106]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2016-06-24T00:00:00"}