{"id":"https://openalex.org/W4386748680","doi":"https://doi.org/10.1137/22m1505931","title":"Existence-Uniqueness for Nonlinear Integro-differential Equations with Drift in \\({\\boldsymbol{\\mathbb{R}}^{{\\textrm{d}}}}\\)","display_name":"Existence-Uniqueness for Nonlinear Integro-differential Equations with Drift in \\({\\boldsymbol{\\mathbb{R}}^{{\\textrm{d}}}}\\)","publication_year":2023,"publication_date":"2023-09-14","ids":{"openalex":"https://openalex.org/W4386748680","doi":"https://doi.org/10.1137/22m1505931"},"language":"en","primary_location":{"id":"doi:10.1137/22m1505931","is_oa":false,"landing_page_url":"https://doi.org/10.1137/22m1505931","pdf_url":null,"source":{"id":"https://openalex.org/S74141806","display_name":"SIAM Journal on Mathematical Analysis","issn_l":"0036-1410","issn":["0036-1410","1095-7154"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Mathematical Analysis","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/A5017257980","display_name":"Anup Biswas","orcid":"https://orcid.org/0000-0003-4796-2752"},"institutions":[{"id":"https://openalex.org/I181996519","display_name":"Indian Institute of Science Education and Research Pune","ror":"https://ror.org/028qa3n13","country_code":"IN","type":"education","lineage":["https://openalex.org/I181996519"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"Anup Biswas","raw_affiliation_strings":["Indian Institute of Science Education and Research-Pune, Dr Homi Bhabha Road, Pashan, Pune 411008 India"],"affiliations":[{"raw_affiliation_string":"Indian Institute of Science Education and Research-Pune, Dr Homi Bhabha Road, Pashan, Pune 411008 India","institution_ids":["https://openalex.org/I181996519"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5057054347","display_name":"Saibal Khan","orcid":null},"institutions":[{"id":"https://openalex.org/I181996519","display_name":"Indian Institute of Science Education and Research Pune","ror":"https://ror.org/028qa3n13","country_code":"IN","type":"education","lineage":["https://openalex.org/I181996519"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Saibal Khan","raw_affiliation_strings":["Indian Institute of Science Education and Research-Pune, Dr Homi Bhabha Road, Pashan, Pune 411008 India"],"affiliations":[{"raw_affiliation_string":"Indian Institute of Science Education and Research-Pune, Dr Homi Bhabha Road, Pashan, Pune 411008 India","institution_ids":["https://openalex.org/I181996519"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5017257980"],"corresponding_institution_ids":["https://openalex.org/I181996519"],"apc_list":null,"apc_paid":null,"fwci":0.5634,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.66392874,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"55","issue":"5","first_page":"4378","last_page":"4409"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9983000159263611,"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"}},"topics":[{"id":"https://openalex.org/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9983000159263611,"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/T10541","display_name":"Nonlinear Differential Equations Analysis","score":0.9980000257492065,"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/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9970999956130981,"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":0.9043538570404053},{"id":"https://openalex.org/keywords/uniqueness","display_name":"Uniqueness","score":0.7743915319442749},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5963002443313599},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.5753382444381714},{"id":"https://openalex.org/keywords/ergodic-theory","display_name":"Ergodic theory","score":0.56319260597229},{"id":"https://openalex.org/keywords/jump","display_name":"Jump","score":0.5615609288215637},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5242481827735901},{"id":"https://openalex.org/keywords/cover","display_name":"Cover (algebra)","score":0.49906229972839355},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.47329989075660706},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.4358816146850586},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.39324939250946045}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9043538570404053},{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.7743915319442749},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5963002443313599},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.5753382444381714},{"id":"https://openalex.org/C122044880","wikidata":"https://www.wikidata.org/wiki/Q5498822","display_name":"Ergodic theory","level":2,"score":0.56319260597229},{"id":"https://openalex.org/C2780695682","wikidata":"https://www.wikidata.org/wiki/Q4005959","display_name":"Jump","level":2,"score":0.5615609288215637},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5242481827735901},{"id":"https://openalex.org/C2780428219","wikidata":"https://www.wikidata.org/wiki/Q16952335","display_name":"Cover (algebra)","level":2,"score":0.49906229972839355},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.47329989075660706},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.4358816146850586},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.39324939250946045},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","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/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"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:10.1137/22m1505931","is_oa":false,"landing_page_url":"https://doi.org/10.1137/22m1505931","pdf_url":null,"source":{"id":"https://openalex.org/S74141806","display_name":"SIAM Journal on Mathematical Analysis","issn_l":"0036-1410","issn":["0036-1410","1095-7154"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Mathematical Analysis","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10","score":0.4399999976158142}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W1591798773","https://openalex.org/W1909463415","https://openalex.org/W2014092561","https://openalex.org/W2019506379","https://openalex.org/W2026590080","https://openalex.org/W2035637414","https://openalex.org/W2040009667","https://openalex.org/W2044760578","https://openalex.org/W2045388438","https://openalex.org/W2061421747","https://openalex.org/W2064338129","https://openalex.org/W2110047069","https://openalex.org/W2113823823","https://openalex.org/W2114457200","https://openalex.org/W2143692779","https://openalex.org/W2175100292","https://openalex.org/W2467268925","https://openalex.org/W2530510806","https://openalex.org/W2784941273","https://openalex.org/W2962952228","https://openalex.org/W2964020926","https://openalex.org/W2985240718","https://openalex.org/W3012206764","https://openalex.org/W3013823896","https://openalex.org/W3100924788","https://openalex.org/W3101584156","https://openalex.org/W3102061997","https://openalex.org/W3102943630","https://openalex.org/W3182946526","https://openalex.org/W4366317340"],"related_works":["https://openalex.org/W571281153","https://openalex.org/W2949403936","https://openalex.org/W3023806604","https://openalex.org/W2390585021","https://openalex.org/W2952139525","https://openalex.org/W4301247218","https://openalex.org/W50969306","https://openalex.org/W2129818458","https://openalex.org/W4243074410","https://openalex.org/W2352679663"],"abstract_inverted_index":{"In":[0],"this":[1,84],"article":[2],"we":[3,53,67],"consider":[4],"a":[5,50,58],"class":[6],"of":[7,11,26,57,79],"nonlinear":[8],"integro-differential":[9],"equations":[10,78],"the":[12,24,32,43,46,55,63,76,87],"form":[13],"in":[14,23,30,89],",":[15,17],"where":[16],".":[18,48,69],"The":[19],"above":[20,64],"equation":[21],"appears":[22],"study":[25],"ergodic":[27],"control":[28],"problems":[29],"when":[31],"controlled":[33],"dynamics":[34],"is":[35],"governed":[36],"by":[37,42],"pure-jump":[38],"L\u00e9vy":[39],"processes":[40],"characterized":[41],"kernels":[44],"and":[45,83],"drift":[47],"Under":[49],"Foster\u2013Lyapunov":[51],"condition,":[52],"establish":[54],"existence":[56],"unique":[59],"solution":[60],"pair":[61],"satisfying":[62],"equation,":[65],"provided":[66],"set":[68],"Results":[70],"are":[71],"then":[72],"extended":[73],"to":[74],"cover":[75],"HJB":[77],"mixed":[80],"local-nonlocal":[81],"type":[82],"significantly":[85],"improves":[86],"results":[88],"[A.":[90],"Arapostathis":[91],"et":[92],"al.,":[93],"SIAM":[94],"J.":[95],"Control":[96],"Optim.,":[97],"57":[98],"(2019),":[99],"pp.":[100],"1516\u20131540].":[101]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2023,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
