{"id":"https://openalex.org/W2044475885","doi":"https://doi.org/10.1016/s0893-9659(01)00140-9","title":"State-dependent impulsive delay-differential equations","display_name":"State-dependent impulsive delay-differential equations","publication_year":2002,"publication_date":"2002-04-01","ids":{"openalex":"https://openalex.org/W2044475885","doi":"https://doi.org/10.1016/s0893-9659(01)00140-9","mag":"2044475885"},"language":"en","primary_location":{"id":"doi:10.1016/s0893-9659(01)00140-9","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0893-9659(01)00140-9","pdf_url":null,"source":{"id":"https://openalex.org/S7571225","display_name":"Applied Mathematics Letters","issn_l":"0893-9659","issn":["0893-9659","1873-5452"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applied Mathematics Letters","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"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/A5053040162","display_name":"Fran\u00e7ois Dubeau","orcid":"https://orcid.org/0000-0002-2956-3208"},"institutions":[{"id":"https://openalex.org/I135117807","display_name":"Universit\u00e9 de Sherbrooke","ror":"https://ror.org/00kybxq39","country_code":"CA","type":"education","lineage":["https://openalex.org/I135117807"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"F. Dubeau","raw_affiliation_strings":["D\u00e9partement de Math\u00e9matiques et d'Informatique Universit\u00e9 de Sherbrooke, Sherbrooke QC, J1K 2R1, Canada","D\u00e9partement de math\u00e9matiques et d'informatique, Universit\u00e9 de Sherbrooke, Sherbrooke, QC, J1K 2R1, Canada"],"affiliations":[{"raw_affiliation_string":"D\u00e9partement de Math\u00e9matiques et d'Informatique Universit\u00e9 de Sherbrooke, Sherbrooke QC, J1K 2R1, Canada","institution_ids":["https://openalex.org/I135117807"]},{"raw_affiliation_string":"D\u00e9partement de math\u00e9matiques et d'informatique, Universit\u00e9 de Sherbrooke, Sherbrooke, QC, J1K 2R1, Canada","institution_ids":["https://openalex.org/I135117807"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5027544161","display_name":"J. Karrakchou","orcid":null},"institutions":[{"id":"https://openalex.org/I127336678","display_name":"Ecole Mohammadia d'Ing\u00e9nieurs","ror":"https://ror.org/00md3qm14","country_code":"MA","type":"education","lineage":["https://openalex.org/I127336678"]}],"countries":["MA"],"is_corresponding":true,"raw_author_name":"J. Karrakchou","raw_affiliation_strings":["Laboratoire d'\u00c9tudes et de Recherches en Math\u00e9matiques Appliqu\u00e9es \u00c9cole Mohammadia d'Ing\u00e9nieurs, Rabat, Maroc"],"affiliations":[{"raw_affiliation_string":"Laboratoire d'\u00c9tudes et de Recherches en Math\u00e9matiques Appliqu\u00e9es \u00c9cole Mohammadia d'Ing\u00e9nieurs, Rabat, Maroc","institution_ids":["https://openalex.org/I127336678"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5027544161","https://openalex.org/A5053040162"],"corresponding_institution_ids":["https://openalex.org/I127336678","https://openalex.org/I135117807"],"apc_list":{"value":3540,"currency":"USD","value_usd":3540},"apc_paid":null,"fwci":1.639,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.81219674,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"15","issue":"3","first_page":"333","last_page":"338"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10541","display_name":"Nonlinear Differential Equations Analysis","score":0.9929999709129333,"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":0.9929999709129333,"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/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.977400004863739,"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/T12727","display_name":"Differential Equations and Numerical Methods","score":0.973800003528595,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/mathematics","display_name":"Mathematics","score":0.8938111066818237},{"id":"https://openalex.org/keywords/delay-differential-equation","display_name":"Delay differential equation","score":0.7748639583587646},{"id":"https://openalex.org/keywords/uniqueness","display_name":"Uniqueness","score":0.7279682159423828},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.5993596315383911},{"id":"https://openalex.org/keywords/state-dependent","display_name":"State dependent","score":0.5623985528945923},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5122965574264526},{"id":"https://openalex.org/keywords/impulse","display_name":"Impulse (physics)","score":0.5049920678138733},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.48724499344825745},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.463850736618042},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.41679200530052185},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3526708483695984},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.062133848667144775}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8938111066818237},{"id":"https://openalex.org/C147504518","wikidata":"https://www.wikidata.org/wiki/Q2146125","display_name":"Delay differential equation","level":3,"score":0.7748639583587646},{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.7279682159423828},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.5993596315383911},{"id":"https://openalex.org/C2984679396","wikidata":"https://www.wikidata.org/wiki/Q7602986","display_name":"State dependent","level":2,"score":0.5623985528945923},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5122965574264526},{"id":"https://openalex.org/C70836080","wikidata":"https://www.wikidata.org/wiki/Q837940","display_name":"Impulse (physics)","level":2,"score":0.5049920678138733},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.48724499344825745},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.463850736618042},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.41679200530052185},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3526708483695984},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.062133848667144775},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","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},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/s0893-9659(01)00140-9","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0893-9659(01)00140-9","pdf_url":null,"source":{"id":"https://openalex.org/S7571225","display_name":"Applied Mathematics Letters","issn_l":"0893-9659","issn":["0893-9659","1873-5452"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applied Mathematics Letters","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":5,"referenced_works":["https://openalex.org/W2050240106","https://openalex.org/W2060542320","https://openalex.org/W2079871064","https://openalex.org/W4285719527","https://openalex.org/W6690095304"],"related_works":["https://openalex.org/W2388089847","https://openalex.org/W1996721129","https://openalex.org/W2761667891","https://openalex.org/W3023264609","https://openalex.org/W2022813859","https://openalex.org/W2276763382","https://openalex.org/W4281285631","https://openalex.org/W2044475885","https://openalex.org/W1983705097","https://openalex.org/W3105466232"],"abstract_inverted_index":null,"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2026-03-10T14:07:55.174380","created_date":"2025-10-10T00:00:00"}