{"id":"https://openalex.org/W2073634687","doi":"https://doi.org/10.1109/fskd.2012.6233745","title":"Existence and uniqueness of solutions to uncertain functional differential equations","display_name":"Existence and uniqueness of solutions to uncertain functional differential equations","publication_year":2012,"publication_date":"2012-05-01","ids":{"openalex":"https://openalex.org/W2073634687","doi":"https://doi.org/10.1109/fskd.2012.6233745","mag":"2073634687"},"language":"en","primary_location":{"id":"doi:10.1109/fskd.2012.6233745","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fskd.2012.6233745","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 9th International Conference on Fuzzy Systems and Knowledge Discovery","raw_type":"proceedings-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/A5100783255","display_name":"Hongjian Liu","orcid":"https://orcid.org/0000-0001-6471-5089"},"institutions":[{"id":"https://openalex.org/I70908550","display_name":"Anhui Polytechnic University","ror":"https://ror.org/041sj0284","country_code":"CN","type":"education","lineage":["https://openalex.org/I70908550"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Hongjian Liu","raw_affiliation_strings":["School of Mathematics and Physics, Anhui Polytechnic University, Wuhu, Anhui, China","School of Mathematics and Physics, Anhui Polytechnic University, Wuhu 241000, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Physics, Anhui Polytechnic University, Wuhu, Anhui, China","institution_ids":["https://openalex.org/I70908550"]},{"raw_affiliation_string":"School of Mathematics and Physics, Anhui Polytechnic University, Wuhu 241000, China","institution_ids":["https://openalex.org/I70908550"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5038372877","display_name":"Weiyin Fei","orcid":"https://orcid.org/0000-0001-9864-4258"},"institutions":[{"id":"https://openalex.org/I70908550","display_name":"Anhui Polytechnic University","ror":"https://ror.org/041sj0284","country_code":"CN","type":"education","lineage":["https://openalex.org/I70908550"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Weiyin Fei","raw_affiliation_strings":["School of Mathematics and Physics, Anhui Polytechnic University, Wuhu, Anhui, China","School of Mathematics and Physics, Anhui Polytechnic University, Wuhu 241000, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Physics, Anhui Polytechnic University, Wuhu, Anhui, China","institution_ids":["https://openalex.org/I70908550"]},{"raw_affiliation_string":"School of Mathematics and Physics, Anhui Polytechnic University, Wuhu 241000, China","institution_ids":["https://openalex.org/I70908550"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5100783255"],"corresponding_institution_ids":["https://openalex.org/I70908550"],"apc_list":null,"apc_paid":null,"fwci":0.3067,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.61599892,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":null,"issue":null,"first_page":"62","last_page":"65"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12135","display_name":"Fuzzy Systems and Optimization","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"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/T12135","display_name":"Fuzzy Systems and Optimization","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"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/T10541","display_name":"Nonlinear Differential Equations Analysis","score":0.9890999794006348,"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/T12508","display_name":"Functional Equations Stability Results","score":0.9771000146865845,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/lipschitz-continuity","display_name":"Lipschitz continuity","score":0.8777529001235962},{"id":"https://openalex.org/keywords/uniqueness","display_name":"Uniqueness","score":0.8486989140510559},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7092522382736206},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.5829817056655884},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.49760201573371887},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4859801232814789},{"id":"https://openalex.org/keywords/differential","display_name":"Differential (mechanical device)","score":0.44389891624450684},{"id":"https://openalex.org/keywords/picard\u2013lindel\u00f6f-theorem","display_name":"Picard\u2013Lindel\u00f6f theorem","score":0.4425404965877533},{"id":"https://openalex.org/keywords/process","display_name":"Process (computing)","score":0.43759042024612427},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.21511444449424744},{"id":"https://openalex.org/keywords/fixed-point-theorem","display_name":"Fixed-point theorem","score":0.1145859956741333},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07847860455513}],"concepts":[{"id":"https://openalex.org/C22324862","wikidata":"https://www.wikidata.org/wiki/Q652707","display_name":"Lipschitz continuity","level":2,"score":0.8777529001235962},{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.8486989140510559},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7092522382736206},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.5829817056655884},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.49760201573371887},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4859801232814789},{"id":"https://openalex.org/C93226319","wikidata":"https://www.wikidata.org/wiki/Q193137","display_name":"Differential (mechanical device)","level":2,"score":0.44389891624450684},{"id":"https://openalex.org/C206929604","wikidata":"https://www.wikidata.org/wiki/Q530152","display_name":"Picard\u2013Lindel\u00f6f theorem","level":3,"score":0.4425404965877533},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.43759042024612427},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.21511444449424744},{"id":"https://openalex.org/C45962547","wikidata":"https://www.wikidata.org/wiki/Q1422068","display_name":"Fixed-point theorem","level":2,"score":0.1145859956741333},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07847860455513},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/fskd.2012.6233745","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fskd.2012.6233745","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 9th International Conference on Fuzzy Systems and Knowledge Discovery","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W26346622","https://openalex.org/W1494628843","https://openalex.org/W2019950953","https://openalex.org/W2041887907","https://openalex.org/W2042600614","https://openalex.org/W2060020035","https://openalex.org/W2106687814","https://openalex.org/W2127740852","https://openalex.org/W2141436719","https://openalex.org/W2151376743","https://openalex.org/W2164919501","https://openalex.org/W2798013123","https://openalex.org/W2912189486","https://openalex.org/W2912565176","https://openalex.org/W4211007335","https://openalex.org/W4230588984","https://openalex.org/W4234521054","https://openalex.org/W4238187298","https://openalex.org/W4285719527","https://openalex.org/W6678868654","https://openalex.org/W6682597882"],"related_works":["https://openalex.org/W571281153","https://openalex.org/W2949403936","https://openalex.org/W4301247218","https://openalex.org/W3023806604","https://openalex.org/W2952139525","https://openalex.org/W2129818458","https://openalex.org/W2964120842","https://openalex.org/W2023181652","https://openalex.org/W2058033616","https://openalex.org/W2548037050"],"abstract_inverted_index":{"The":[0],"canonical":[1,22],"process":[2,8,23],"is":[3],"a":[4,25],"Lipschitz":[5,49],"continuous":[6],"uncertain":[7,15,42],"with":[9],"stationary":[10],"and":[11,14,36,51],"independent":[12],"increments,":[13],"functional":[16,43],"differential":[17,44],"equations":[18,45],"driven":[19],"by":[20],"the":[21,47,52],"give":[24],"mathematical":[26],"formulation":[27],"for":[28,41],"dynamic":[29],"systems.":[30],"This":[31],"paper":[32],"proves":[33],"an":[34],"existence":[35],"uniqueness":[37],"theorem":[38],"of":[39],"solutions":[40],"under":[46],"uniform":[48],"condition":[50],"linear":[53],"growth":[54],"condition.":[55]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
