{"id":"https://openalex.org/W2782785509","doi":"https://doi.org/10.1080/00207179.2018.1426884","title":"Exponential stability for nonautonomous impulsive neutral partial stochastic evolution equations with delay","display_name":"Exponential stability for nonautonomous impulsive neutral partial stochastic evolution equations with delay","publication_year":2018,"publication_date":"2018-01-11","ids":{"openalex":"https://openalex.org/W2782785509","doi":"https://doi.org/10.1080/00207179.2018.1426884","mag":"2782785509"},"language":"en","primary_location":{"id":"doi:10.1080/00207179.2018.1426884","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207179.2018.1426884","pdf_url":null,"source":{"id":"https://openalex.org/S88061139","display_name":"International Journal of Control","issn_l":"0020-7179","issn":["0020-7179","1366-5820"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Control","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/A5101818523","display_name":"Zuomao Yan","orcid":"https://orcid.org/0000-0003-0335-5141"},"institutions":[{"id":"https://openalex.org/I4210117818","display_name":"Hexi University","ror":"https://ror.org/02axfzt86","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210117818"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Zuomao Yan","raw_affiliation_strings":["Department of Mathematics, Hexi University , Zhangye, P.R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Hexi University , Zhangye, P.R. China","institution_ids":["https://openalex.org/I4210117818"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5012665840","display_name":"Fangxia Lu","orcid":null},"institutions":[{"id":"https://openalex.org/I4210117818","display_name":"Hexi University","ror":"https://ror.org/02axfzt86","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210117818"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Fangxia Lu","raw_affiliation_strings":["Department of Mathematics, Hexi University , Zhangye, P.R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Hexi University , Zhangye, P.R. China","institution_ids":["https://openalex.org/I4210117818"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5101818523"],"corresponding_institution_ids":["https://openalex.org/I4210117818"],"apc_list":null,"apc_paid":null,"fwci":1.0394,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.71476158,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":"92","issue":"9","first_page":"2037","last_page":"2063"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10541","display_name":"Nonlinear Differential Equations Analysis","score":1.0,"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":1.0,"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":0.9997000098228455,"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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9968000054359436,"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/mathematics","display_name":"Mathematics","score":0.7339242100715637},{"id":"https://openalex.org/keywords/hilbert-space","display_name":"Hilbert space","score":0.6472490429878235},{"id":"https://openalex.org/keywords/exponential-stability","display_name":"Exponential stability","score":0.6158760190010071},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5779951214790344},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.538478434085846},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.4902990162372589},{"id":"https://openalex.org/keywords/interpolation","display_name":"Interpolation (computer graphics)","score":0.448182612657547},{"id":"https://openalex.org/keywords/distribution","display_name":"Distribution (mathematics)","score":0.42379847168922424},{"id":"https://openalex.org/keywords/fixed-point-theorem","display_name":"Fixed-point theorem","score":0.4194498658180237},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.39128512144088745},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1039915680885315},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.0685979425907135}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7339242100715637},{"id":"https://openalex.org/C62799726","wikidata":"https://www.wikidata.org/wiki/Q190056","display_name":"Hilbert space","level":2,"score":0.6472490429878235},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.6158760190010071},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5779951214790344},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.538478434085846},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.4902990162372589},{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.448182612657547},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.42379847168922424},{"id":"https://openalex.org/C45962547","wikidata":"https://www.wikidata.org/wiki/Q1422068","display_name":"Fixed-point theorem","level":2,"score":0.4194498658180237},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.39128512144088745},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1039915680885315},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0685979425907135},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"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/C502989409","wikidata":"https://www.wikidata.org/wiki/Q11425","display_name":"Animation","level":2,"score":0.0},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"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":1,"locations":[{"id":"doi:10.1080/00207179.2018.1426884","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207179.2018.1426884","pdf_url":null,"source":{"id":"https://openalex.org/S88061139","display_name":"International Journal of Control","issn_l":"0020-7179","issn":["0020-7179","1366-5820"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Control","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G827014469","display_name":"\u8109\u51b2\u62bd\u8c61\u968f\u673a\u504f\u5fae\u5206\u65b9\u7a0b\u7684\u4f2a\u6982\u5468\u671f\u578b\u89e3\u7814\u7a76","funder_award_id":"11461019","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320313854","display_name":"Hexi University","ror":"https://ror.org/02axfzt86"},{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":41,"referenced_works":["https://openalex.org/W123186044","https://openalex.org/W566434069","https://openalex.org/W602720839","https://openalex.org/W1489200767","https://openalex.org/W1542007102","https://openalex.org/W1572221794","https://openalex.org/W1584250831","https://openalex.org/W1682648997","https://openalex.org/W1969624309","https://openalex.org/W1977285796","https://openalex.org/W1982393775","https://openalex.org/W1983549615","https://openalex.org/W2002856131","https://openalex.org/W2004811099","https://openalex.org/W2006798178","https://openalex.org/W2013337319","https://openalex.org/W2030515189","https://openalex.org/W2032855276","https://openalex.org/W2033705386","https://openalex.org/W2038034231","https://openalex.org/W2049285398","https://openalex.org/W2050240106","https://openalex.org/W2052808624","https://openalex.org/W2059603020","https://openalex.org/W2060888121","https://openalex.org/W2066412440","https://openalex.org/W2083816818","https://openalex.org/W2089302849","https://openalex.org/W2104384160","https://openalex.org/W2111041258","https://openalex.org/W2123562529","https://openalex.org/W2183540985","https://openalex.org/W2269691319","https://openalex.org/W2326010876","https://openalex.org/W2516081332","https://openalex.org/W2551978218","https://openalex.org/W2754184743","https://openalex.org/W3103465570","https://openalex.org/W4212940716","https://openalex.org/W4230659860","https://openalex.org/W4366819356"],"related_works":["https://openalex.org/W1593898832","https://openalex.org/W2756324413","https://openalex.org/W2142048021","https://openalex.org/W2383529437","https://openalex.org/W2134075948","https://openalex.org/W1790223069","https://openalex.org/W2081245100","https://openalex.org/W1928921784","https://openalex.org/W1970936604","https://openalex.org/W1973113296"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3,55],"give":[4],"sufficient":[5],"conditions":[6],"for":[7,19,68],"the":[8,39,42,57,69],"exponential":[9,58],"stability":[10,59],"of":[11,60],"pseudo":[12,62],"almost":[13,63],"periodic":[14,64],"in":[15,29,65,74],"distribution":[16,66],"mild":[17],"solutions":[18],"nonautonomous":[20],"impulsive":[21],"neutral":[22,70],"partial":[23],"stochastic":[24,43,71],"evolution":[25],"equations":[26],"with":[27],"delay":[28],"a":[30,61],"Hilbert":[31],"space.":[32],"Our":[33],"working":[34],"tools":[35],"are":[36],"based":[37],"on":[38],"interpolation":[40],"theory,":[41],"analysis":[44],"techniques":[45],"and":[46],"fixed":[47],"point":[48],"theorem.":[49],"To":[50],"illustrate":[51],"our":[52],"main":[53],"result,":[54],"study":[56],"solution":[67],"model":[72],"arising":[73],"physical":[75],"systems.":[76]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1}],"updated_date":"2026-06-06T09:05:17.133730","created_date":"2025-10-10T00:00:00"}
