{"id":"https://openalex.org/W3168391000","doi":"https://doi.org/10.1007/s11063-021-10559-x","title":"Existence, Uniqueness and Stability of Mild Solutions to a Stochastic Nonlocal Delayed Reaction\u2013Diffusion Equation","display_name":"Existence, Uniqueness and Stability of Mild Solutions to a Stochastic Nonlocal Delayed Reaction\u2013Diffusion Equation","publication_year":2021,"publication_date":"2021-06-10","ids":{"openalex":"https://openalex.org/W3168391000","doi":"https://doi.org/10.1007/s11063-021-10559-x","mag":"3168391000"},"language":"en","primary_location":{"id":"doi:10.1007/s11063-021-10559-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11063-021-10559-x","pdf_url":null,"source":{"id":"https://openalex.org/S140962798","display_name":"Neural Processing Letters","issn_l":"1370-4621","issn":["1370-4621","1573-773X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Neural Processing 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/A5059985998","display_name":"Wenjie Hu","orcid":"https://orcid.org/0000-0002-3316-519X"},"institutions":[{"id":"https://openalex.org/I173759888","display_name":"Hunan Normal University","ror":"https://ror.org/053w1zy07","country_code":"CN","type":"education","lineage":["https://openalex.org/I173759888"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wenjie Hu","raw_affiliation_strings":["Journal House, Hunan Normal University, Changsha, 410081, Hunan, China","MOE-LCSM, School of Mathematics and Statistics, Hunan Normal University, Changsha, 410081, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Journal House, Hunan Normal University, Changsha, 410081, Hunan, China","institution_ids":["https://openalex.org/I173759888"]},{"raw_affiliation_string":"MOE-LCSM, School of Mathematics and Statistics, Hunan Normal University, Changsha, 410081, China","institution_ids":["https://openalex.org/I173759888"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100600035","display_name":"Quanxin Zhu","orcid":"https://orcid.org/0000-0003-3130-4923"},"institutions":[{"id":"https://openalex.org/I173759888","display_name":"Hunan Normal University","ror":"https://ror.org/053w1zy07","country_code":"CN","type":"education","lineage":["https://openalex.org/I173759888"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Quanxin Zhu","raw_affiliation_strings":["MOE-LCSM, School of Mathematics and Statistics, Hunan Normal University, Changsha, 410081, China"],"raw_orcid":"https://orcid.org/0000-0003-3130-4923","affiliations":[{"raw_affiliation_string":"MOE-LCSM, School of Mathematics and Statistics, Hunan Normal University, Changsha, 410081, China","institution_ids":["https://openalex.org/I173759888"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5100600035"],"corresponding_institution_ids":["https://openalex.org/I173759888"],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":null,"fwci":3.1952,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.92503548,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":91,"max":98},"biblio":{"volume":"53","issue":"5","first_page":"3375","last_page":"3394"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10541","display_name":"Nonlinear Differential Equations Analysis","score":0.9990000128746033,"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":0.9990000128746033,"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/T10482","display_name":"Mathematical and Theoretical Epidemiology and Ecology Models","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/2739","display_name":"Public Health, Environmental and Occupational Health"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},{"id":"https://openalex.org/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9977999925613403,"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":0.78959059715271},{"id":"https://openalex.org/keywords/uniqueness","display_name":"Uniqueness","score":0.7397515773773193},{"id":"https://openalex.org/keywords/lipschitz-continuity","display_name":"Lipschitz continuity","score":0.7076330184936523},{"id":"https://openalex.org/keywords/banach-fixed-point-theorem","display_name":"Banach fixed-point theorem","score":0.7033113241195679},{"id":"https://openalex.org/keywords/exponential-stability","display_name":"Exponential stability","score":0.5775721073150635},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5652708411216736},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5374283194541931},{"id":"https://openalex.org/keywords/fixed-point-theorem","display_name":"Fixed-point theorem","score":0.4565439224243164},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4248649477958679},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.09725961089134216}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.78959059715271},{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.7397515773773193},{"id":"https://openalex.org/C22324862","wikidata":"https://www.wikidata.org/wiki/Q652707","display_name":"Lipschitz continuity","level":2,"score":0.7076330184936523},{"id":"https://openalex.org/C2780549194","wikidata":"https://www.wikidata.org/wiki/Q220680","display_name":"Banach fixed-point theorem","level":3,"score":0.7033113241195679},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.5775721073150635},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5652708411216736},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5374283194541931},{"id":"https://openalex.org/C45962547","wikidata":"https://www.wikidata.org/wiki/Q1422068","display_name":"Fixed-point theorem","level":2,"score":0.4565439224243164},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4248649477958679},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.09725961089134216},{"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11063-021-10559-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11063-021-10559-x","pdf_url":null,"source":{"id":"https://openalex.org/S140962798","display_name":"Neural Processing Letters","issn_l":"1370-4621","issn":["1370-4621","1573-773X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Neural Processing Letters","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2273622213","display_name":null,"funder_award_id":"2019TQ0089","funder_id":"https://openalex.org/F4320321543","funder_display_name":"China Postdoctoral Science Foundation"},{"id":"https://openalex.org/G2395128369","display_name":null,"funder_award_id":"2020JJ5344","funder_id":"https://openalex.org/F4320322843","funder_display_name":"Natural Science Foundation of\u00a0Hunan Province"},{"id":"https://openalex.org/G4773858739","display_name":null,"funder_award_id":"61773217","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4967130281","display_name":null,"funder_award_id":"2019RS1033","funder_id":"https://openalex.org/F4320330206","funder_display_name":"Science and Technology Program of Hunan Province"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320321543","display_name":"China Postdoctoral Science Foundation","ror":"https://ror.org/0426zh255"},{"id":"https://openalex.org/F4320322843","display_name":"Natural Science Foundation of\u00a0Hunan Province","ror":null},{"id":"https://openalex.org/F4320330206","display_name":"Science and Technology Program of Hunan Province","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":49,"referenced_works":["https://openalex.org/W225173283","https://openalex.org/W1162342945","https://openalex.org/W1475124599","https://openalex.org/W1485975088","https://openalex.org/W1495343258","https://openalex.org/W1527296550","https://openalex.org/W1542004730","https://openalex.org/W1964074801","https://openalex.org/W1967291088","https://openalex.org/W1970969996","https://openalex.org/W1974247628","https://openalex.org/W1974946377","https://openalex.org/W1983581275","https://openalex.org/W1986710554","https://openalex.org/W1996418492","https://openalex.org/W2003814439","https://openalex.org/W2004642235","https://openalex.org/W2007387213","https://openalex.org/W2007670562","https://openalex.org/W2022159488","https://openalex.org/W2031988165","https://openalex.org/W2050757870","https://openalex.org/W2052139904","https://openalex.org/W2054669203","https://openalex.org/W2059013296","https://openalex.org/W2066118488","https://openalex.org/W2079458565","https://openalex.org/W2079865575","https://openalex.org/W2082932076","https://openalex.org/W2092984894","https://openalex.org/W2101710674","https://openalex.org/W2105206465","https://openalex.org/W2120983548","https://openalex.org/W2148075745","https://openalex.org/W2151145814","https://openalex.org/W2769259555","https://openalex.org/W2792258526","https://openalex.org/W2799976350","https://openalex.org/W2893185421","https://openalex.org/W2915004942","https://openalex.org/W2926113039","https://openalex.org/W3044684947","https://openalex.org/W3093073205","https://openalex.org/W3105959363","https://openalex.org/W3109546267","https://openalex.org/W3111463763","https://openalex.org/W3126454014","https://openalex.org/W3131025718","https://openalex.org/W4300475775"],"related_works":["https://openalex.org/W2037140903","https://openalex.org/W2964120842","https://openalex.org/W4377938812","https://openalex.org/W2980485881","https://openalex.org/W3006703326","https://openalex.org/W2057963065","https://openalex.org/W4223932742","https://openalex.org/W2302520613","https://openalex.org/W787165528","https://openalex.org/W2070317878"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":2}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}