{"id":"https://openalex.org/W4407097293","doi":null,"title":"Stable manifolds for impulsive delay equations and parameter dependence","display_name":"Stable manifolds for impulsive delay equations and parameter dependence","publication_year":2019,"publication_date":"2019-02-01","ids":{"openalex":"https://openalex.org/W4407097293"},"language":"en","primary_location":{"id":"pmh:oai:doaj.org/article:148da7016e87432d8b93a02387741d24","doi":null,"is_oa":true,"landing_page_url":"https://doaj.org/article/148da7016e87432d8b93a02387741d24","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","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":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Electronic Journal of Differential Equations, Vol 2019, Iss 25,, Pp 1-22 (2019)","raw_type":"article"},"volume":null,"type":"article","indexed_in":["doaj"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doaj.org/article/148da7016e87432d8b93a02387741d24","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5113908068","display_name":"Dhirendra Bahuguna","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I94234084","display_name":"Indian Institute of Technology Kanpur","ror":"https://ror.org/05pjsgx75","country_code":"IN","type":"education","lineage":["https://openalex.org/I94234084"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Dhirendra Bahuguna","raw_affiliation_strings":["\n Indian Institute of Technology, Kanpur, India\n"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"\n Indian Institute of Technology, Kanpur, India\n","institution_ids":["https://openalex.org/I94234084"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5074999054","display_name":"Lokesh Singh","orcid":"https://orcid.org/0000-0003-1836-6804","observed_orcids":["https://orcid.org/0000-0003-1836-6804"]},"institutions":[{"id":"https://openalex.org/I94234084","display_name":"Indian Institute of Technology Kanpur","ror":"https://ror.org/05pjsgx75","country_code":"IN","type":"education","lineage":["https://openalex.org/I94234084"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Lokesh Singh","raw_affiliation_strings":["\n Indian Institute of Technology, Kanpur, India\n"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"\n Indian Institute of Technology, Kanpur, India\n","institution_ids":["https://openalex.org/I94234084"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I94234084"],"apc_list":null,"apc_paid":null,"fwci":0.6542,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.70807493,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":93},"biblio":{"volume":null,"issue":null,"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":0.9419000148773193,"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":0.9419000148773193,"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/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.025499999523162842,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.010300000198185444,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/stable-manifolds","display_name":"stable manifolds","score":0.9079999923706055},{"id":"https://openalex.org/keywords/impulsive-delay-differential-equations","display_name":"impulsive delay differential equations","score":0.9610000252723694},{"id":"https://openalex.org/keywords/parameter-dependence","display_name":"parameter dependence","score":0.7680000066757202},{"id":"https://openalex.org/keywords/lipschitz-stability","display_name":"Lipschitz stability","score":0.8389999866485596},{"id":"https://openalex.org/keywords/invariant-manifolds","display_name":"invariant manifolds","score":0.8370000123977661},{"id":"https://openalex.org/keywords/nonuniform-exponential-dichotomy","display_name":"nonuniform exponential dichotomy","score":0.9430000185966492},{"id":"https://openalex.org/keywords/semiflows","display_name":"semiflows","score":0.796999990940094},{"id":"https://openalex.org/keywords/small-perturbations","display_name":"small perturbations","score":0.7509999871253967},{"id":"https://openalex.org/keywords/linear-delay-equations","display_name":"linear delay equations","score":0.4410000145435333}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.46395865082740784},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.44457513093948364},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3441665768623352},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3407641053199768},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.322033166885376},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.24755337834358215},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.16479113698005676},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.10711023211479187},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"pmh:oai:doaj.org/article:148da7016e87432d8b93a02387741d24","doi":null,"is_oa":true,"landing_page_url":"https://doaj.org/article/148da7016e87432d8b93a02387741d24","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","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":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Electronic Journal of Differential Equations, Vol 2019, Iss 25,, Pp 1-22 (2019)","raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:doaj.org/article:148da7016e87432d8b93a02387741d24","doi":null,"is_oa":true,"landing_page_url":"https://doaj.org/article/148da7016e87432d8b93a02387741d24","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","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":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Electronic Journal of Differential Equations, Vol 2019, Iss 25,, Pp 1-22 (2019)","raw_type":"article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2085778449","https://openalex.org/W2071496384","https://openalex.org/W3035718962","https://openalex.org/W2079627904","https://openalex.org/W7112902994","https://openalex.org/W2010820488","https://openalex.org/W2779688455","https://openalex.org/W1942926981","https://openalex.org/W3088186140","https://openalex.org/W2027337234"],"abstract_inverted_index":{"In":[0],"this":[1],"article,":[2],"we":[3],"establish":[4],"the":[5,13,17,33,39,44,59,65],"existence":[6],"of":[7],"Lipschitz":[8,63],"stable":[9],"invariant":[10],"manifolds":[11,61],"for":[12],"semiflows":[14],"generated":[15],"by":[16],"delay":[18,47],"differential":[19,48],"equation":[20,49],"$x'=":[21],"L(t)x_t":[22],"+":[23],"f(t,x_t,\\lambda)$":[24],"with":[25],"impulses":[26,40],"at":[27],"times":[28],"$\\{\\tau_i\\}_{i=1}^\\infty":[29],"$,":[30],"assuming":[31],"that":[32,58],"perturbation":[34],"$f(t,x_t,\\lambda)$":[35],"as":[36,38],"well":[37],"are":[41,62],"small":[42],"and":[43],"corresponding":[45],"linear":[46],"admits":[50],"a":[51],"nonuniform":[52],"exponential":[53],"dichotomy.":[54],"We":[55],"also":[56],"show":[57],"obtained":[60],"in":[64],"parameter":[66],"$\\lambda$.":[67]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1}],"updated_date":"2026-08-08T01:25:22.217667","created_date":"2025-02-04T00:00:00"}
