{"id":"https://openalex.org/W7204136152","doi":"https://doi.org/10.1007/s00030-026-01267-3","title":"Lipschitz stability of solution sets of Young differential inclusion","display_name":"Lipschitz stability of solution sets of Young differential inclusion","publication_year":2026,"publication_date":"2026-08-24","ids":{"openalex":"https://openalex.org/W7204136152","doi":"https://doi.org/10.1007/s00030-026-01267-3"},"language":"en","primary_location":{"id":"doi:10.1007/s00030-026-01267-3","doi":"https://doi.org/10.1007/s00030-026-01267-3","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00030-026-01267-3","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00030-026-01267-3.pdf","source":{"id":"https://openalex.org/S4210187339","display_name":"Nonlinear Differential Equations and Applications NoDEA","issn_l":"1021-9722","issn":["1021-9722","1420-9004"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","jufo-1","norway-1"],"host_organization":"https://openalex.org/P4310320186","host_organization_name":"Birkh\u00e4user","host_organization_lineage":["https://openalex.org/P4310320186","https://openalex.org/P4310319900"],"host_organization_lineage_names":["Birkh\u00e4user","Springer Science+Business Media"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Nonlinear Differential Equations and Applications NoDEA","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s00030-026-01267-3.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5009765115","display_name":"Mariusz Michta","orcid":"https://orcid.org/0000-0003-1743-799X","observed_orcids":["https://orcid.org/0000-0003-1743-799X"]},"institutions":[{"id":"https://openalex.org/I46305939","display_name":"University of Zielona G\u00f3ra","ror":"https://ror.org/04fzm7v55","country_code":"PL","type":"education","lineage":["https://openalex.org/I46305939"]}],"countries":["PL"],"is_corresponding":true,"raw_author_name":"Mariusz Michta","raw_affiliation_strings":["Institute of Mathematics, University of Zielona G\u00f3ra, Szafrana 4a, 65-516, Zielona G\u00f3ra, Poland"],"raw_orcid":"https://orcid.org/0000-0003-1743-799X","affiliations":[{"raw_affiliation_string":"Institute of Mathematics, University of Zielona G\u00f3ra, Szafrana 4a, 65-516, Zielona G\u00f3ra, Poland","institution_ids":["https://openalex.org/I46305939"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5006289074","display_name":"Jerzy Motyl","orcid":"https://orcid.org/0000-0002-1724-8040","observed_orcids":["https://orcid.org/0000-0002-1724-8040"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Jerzy Motyl","raw_affiliation_strings":["Zielona G\u00f3ra, Poland"],"raw_orcid":"https://orcid.org/0000-0002-1724-8040","affiliations":[{"raw_affiliation_string":"Zielona G\u00f3ra, Poland","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5009765115"],"corresponding_institution_ids":["https://openalex.org/I46305939"],"apc_list":{"value":3190,"currency":"USD","value_usd":3190},"apc_paid":{"value":3190,"currency":"USD","value_usd":3190},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.66548842,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"33","issue":"5","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10541","display_name":"Nonlinear Differential Equations Analysis","score":0.9829000234603882,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10541","display_name":"Nonlinear Differential Equations Analysis","score":0.9829000234603882,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12135","display_name":"Fuzzy Systems and Optimization","score":0.011500000022351742,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.002199999988079071,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/lipschitz-stability","display_name":"Lipschitz stability","score":0.9290000200271606},{"id":"https://openalex.org/keywords/solution-sets","display_name":"solution sets","score":0.7950000166893005},{"id":"https://openalex.org/keywords/holder-continuous-functions","display_name":"H\u00f6lder continuous functions","score":0.8980000019073486},{"id":"https://openalex.org/keywords/fractional-brownian-motion","display_name":"fractional Brownian motion","score":0.9829999804496765},{"id":"https://openalex.org/keywords/selection-theorems","display_name":"selection theorems","score":0.7089999914169312},{"id":"https://openalex.org/keywords/approximation-theorems","display_name":"approximation theorems","score":0.7390000224113464}],"concepts":[{"id":"https://openalex.org/C70834904","wikidata":"https://www.wikidata.org/wiki/Q1054638","display_name":"Differential inclusion","level":2,"score":0.9225000143051147},{"id":"https://openalex.org/C22324862","wikidata":"https://www.wikidata.org/wiki/Q652707","display_name":"Lipschitz continuity","level":2,"score":0.8273000121116638},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7889999747276306},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5824000239372253},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.47040000557899475},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.46869999170303345},{"id":"https://openalex.org/C93226319","wikidata":"https://www.wikidata.org/wiki/Q193137","display_name":"Differential (mechanical device)","level":2,"score":0.4050999879837036},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3986999988555908},{"id":"https://openalex.org/C81917197","wikidata":"https://www.wikidata.org/wiki/Q628760","display_name":"Selection (genetic algorithm)","level":2,"score":0.3930000066757202},{"id":"https://openalex.org/C176321772","wikidata":"https://www.wikidata.org/wiki/Q1430640","display_name":"Numerical stability","level":3,"score":0.31360000371932983},{"id":"https://openalex.org/C112401455","wikidata":"https://www.wikidata.org/wiki/Q178036","display_name":"Brownian motion","level":2,"score":0.29589998722076416},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.29269999265670776},{"id":"https://openalex.org/C37608338","wikidata":"https://www.wikidata.org/wiki/Q510733","display_name":"Gronwall's inequality","level":3,"score":0.2653000056743622},{"id":"https://openalex.org/C2776548862","wikidata":"https://www.wikidata.org/wiki/Q2694495","display_name":"Existence theorem","level":2,"score":0.25690001249313354},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.25519999861717224},{"id":"https://openalex.org/C109359841","wikidata":"https://www.wikidata.org/wiki/Q728944","display_name":"Inclusion (mineral)","level":2,"score":0.2526000142097473}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00030-026-01267-3","doi":"https://doi.org/10.1007/s00030-026-01267-3","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00030-026-01267-3","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00030-026-01267-3.pdf","source":{"id":"https://openalex.org/S4210187339","display_name":"Nonlinear Differential Equations and Applications NoDEA","issn_l":"1021-9722","issn":["1021-9722","1420-9004"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","jufo-1","norway-1"],"host_organization":"https://openalex.org/P4310320186","host_organization_name":"Birkh\u00e4user","host_organization_lineage":["https://openalex.org/P4310320186","https://openalex.org/P4310319900"],"host_organization_lineage_names":["Birkh\u00e4user","Springer Science+Business Media"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Nonlinear Differential Equations and Applications NoDEA","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1007/s00030-026-01267-3","doi":"https://doi.org/10.1007/s00030-026-01267-3","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00030-026-01267-3","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00030-026-01267-3.pdf","source":{"id":"https://openalex.org/S4210187339","display_name":"Nonlinear Differential Equations and Applications NoDEA","issn_l":"1021-9722","issn":["1021-9722","1420-9004"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","jufo-1","norway-1"],"host_organization":"https://openalex.org/P4310320186","host_organization_name":"Birkh\u00e4user","host_organization_lineage":["https://openalex.org/P4310320186","https://openalex.org/P4310319900"],"host_organization_lineage_names":["Birkh\u00e4user","Springer Science+Business Media"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Nonlinear Differential Equations and Applications NoDEA","raw_type":"journal-article"},"sustainable_development_goals":[],"sustainable_development_goals_aurora":[{"score":0.805208146572113,"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10"}],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7204136152.pdf","grobid_xml":"https://content.openalex.org/works/W7204136152.grobid-xml"},"referenced_works_count":36,"referenced_works":["https://openalex.org/W617501864","https://openalex.org/W628520654","https://openalex.org/W1577809740","https://openalex.org/W1973898185","https://openalex.org/W1982659068","https://openalex.org/W1994996557","https://openalex.org/W1998303134","https://openalex.org/W2004095444","https://openalex.org/W2008222598","https://openalex.org/W2037380981","https://openalex.org/W2043809204","https://openalex.org/W2048920969","https://openalex.org/W2056619055","https://openalex.org/W2059460330","https://openalex.org/W2066817833","https://openalex.org/W2074366794","https://openalex.org/W2079974485","https://openalex.org/W2093920319","https://openalex.org/W2095489921","https://openalex.org/W2342148367","https://openalex.org/W2489617456","https://openalex.org/W2494236341","https://openalex.org/W2619945484","https://openalex.org/W2913217509","https://openalex.org/W2948588620","https://openalex.org/W2963207000","https://openalex.org/W3048294909","https://openalex.org/W3092998300","https://openalex.org/W3101810080","https://openalex.org/W3172680451","https://openalex.org/W4210718478","https://openalex.org/W4213070259","https://openalex.org/W4386482641","https://openalex.org/W4386619781","https://openalex.org/W4399325113","https://openalex.org/W4403254819"],"related_works":[],"abstract_inverted_index":{"We":[0],"investigate":[1],"the":[2,60,64],"Lipschitz":[3],"stability":[4],"of":[5,15,27,44,56,63],"solution":[6,57],"sets":[7,58],"to":[8,52],"Young":[9,37],"differential":[10,32,72],"inclusions":[11,33,73],"driven":[12,74],"by":[13,35,75],"families":[14],"H\u00f6lder":[16],"continuous":[17],"functions.":[18],"The":[19,66,79],"main":[20],"analytical":[21],"tool":[22],"is":[23],"an":[24],"appropriate":[25],"version":[26],"Filippov\u2019s":[28],"Theorem":[29],"formulated":[30],"for":[31],"governed":[34],"set-valued":[36],"integrals.":[38],"Both":[39],"local":[40],"and":[41,49,85],"global":[42],"variants":[43],"this":[45],"theorem":[46],"are":[47,81],"established":[48],"subsequently":[50],"employed":[51],"derive":[53],"Lipschitz-type":[54],"dependence":[55],"on":[59,83],"right-hand":[61],"side":[62],"inclusion.":[65],"considered":[67],"framework":[68],"covers,":[69],"in":[70],"particular,":[71],"fractional":[76],"Brownian":[77],"motion.":[78],"proofs":[80],"based":[82],"selection":[84],"approximation":[86],"techniques.":[87]},"counts_by_year":[],"updated_date":"2026-09-25T08:18:29.962427","created_date":"2026-08-25T00:00:00"}
