{"id":"https://openalex.org/W2029120269","doi":"https://doi.org/10.1016/s0020-0255(97)10064-0","title":"Existence theorem to the Cauchy problem of fuzzy differential equations under compactness-type conditions","display_name":"Existence theorem to the Cauchy problem of fuzzy differential equations under compactness-type conditions","publication_year":1998,"publication_date":"1998-07-01","ids":{"openalex":"https://openalex.org/W2029120269","doi":"https://doi.org/10.1016/s0020-0255(97)10064-0","mag":"2029120269"},"language":"en","primary_location":{"id":"doi:10.1016/s0020-0255(97)10064-0","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0020-0255(97)10064-0","pdf_url":null,"source":{"id":"https://openalex.org/S192650101","display_name":"Information Sciences","issn_l":"0020-0255","issn":["0020-0255","1872-6291"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Information Sciences","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/A5100963812","display_name":"Wu Congxin","orcid":null},"institutions":[{"id":"https://openalex.org/I204983213","display_name":"Harbin Institute of Technology","ror":"https://ror.org/01yqg2h08","country_code":"CN","type":"education","lineage":["https://openalex.org/I204983213"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Wu Congxin","raw_affiliation_strings":["Department of Mathematics, Harbin Institute of Technology, Harbin 150 001, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Harbin Institute of Technology, Harbin 150 001, People's Republic of China","institution_ids":["https://openalex.org/I204983213"]}]},{"author_position":"last","author":{"id":null,"display_name":"Song Shiji","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Song Shiji","raw_affiliation_strings":["Institute of Physical Oceanography, Ocean University of Qingdao, Qingdao 266 003, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"Institute of Physical Oceanography, Ocean University of Qingdao, Qingdao 266 003, People's Republic of China","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5100963812"],"corresponding_institution_ids":["https://openalex.org/I204983213"],"apc_list":{"value":3330,"currency":"USD","value_usd":3330},"apc_paid":null,"fwci":0.4388,"has_fulltext":false,"cited_by_count":100,"citation_normalized_percentile":{"value":0.63856016,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"108","issue":"1-4","first_page":"123","last_page":"134"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12135","display_name":"Fuzzy Systems and Optimization","score":1.0,"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":1.0,"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/T12508","display_name":"Functional Equations Stability Results","score":0.9911999702453613,"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/T10541","display_name":"Nonlinear Differential Equations Analysis","score":0.9743000268936157,"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/mathematics","display_name":"Mathematics","score":0.8557032942771912},{"id":"https://openalex.org/keywords/compact-space","display_name":"Compact space","score":0.6658662557601929},{"id":"https://openalex.org/keywords/peano-existence-theorem","display_name":"Peano existence theorem","score":0.603956937789917},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.5120704770088196},{"id":"https://openalex.org/keywords/picard\u2013lindel\u00f6f-theorem","display_name":"Picard\u2013Lindel\u00f6f theorem","score":0.50704026222229},{"id":"https://openalex.org/keywords/cauchy-problem","display_name":"Cauchy problem","score":0.5068302750587463},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.5034822821617126},{"id":"https://openalex.org/keywords/arzel\u00e0\u2013ascoli-theorem","display_name":"Arzel\u00e0\u2013Ascoli theorem","score":0.5000410079956055},{"id":"https://openalex.org/keywords/compactness-theorem","display_name":"Compactness theorem","score":0.46355926990509033},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.444990336894989},{"id":"https://openalex.org/keywords/initial-value-problem","display_name":"Initial value problem","score":0.44263556599617004},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4373360276222229},{"id":"https://openalex.org/keywords/cauchy-distribution","display_name":"Cauchy distribution","score":0.4328634440898895},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.40689972043037415},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3371135890483856},{"id":"https://openalex.org/keywords/fixed-point-theorem","display_name":"Fixed-point theorem","score":0.17192435264587402},{"id":"https://openalex.org/keywords/danskins-theorem","display_name":"Danskin's theorem","score":0.12359827756881714},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.08014795184135437}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8557032942771912},{"id":"https://openalex.org/C18648836","wikidata":"https://www.wikidata.org/wiki/Q381892","display_name":"Compact space","level":2,"score":0.6658662557601929},{"id":"https://openalex.org/C45053136","wikidata":"https://www.wikidata.org/wiki/Q740093","display_name":"Peano existence theorem","level":5,"score":0.603956937789917},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.5120704770088196},{"id":"https://openalex.org/C206929604","wikidata":"https://www.wikidata.org/wiki/Q530152","display_name":"Picard\u2013Lindel\u00f6f theorem","level":3,"score":0.50704026222229},{"id":"https://openalex.org/C153635880","wikidata":"https://www.wikidata.org/wiki/Q1412436","display_name":"Cauchy problem","level":3,"score":0.5068302750587463},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.5034822821617126},{"id":"https://openalex.org/C197451259","wikidata":"https://www.wikidata.org/wiki/Q1477053","display_name":"Arzel\u00e0\u2013Ascoli theorem","level":5,"score":0.5000410079956055},{"id":"https://openalex.org/C171636804","wikidata":"https://www.wikidata.org/wiki/Q1149458","display_name":"Compactness theorem","level":4,"score":0.46355926990509033},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.444990336894989},{"id":"https://openalex.org/C26955809","wikidata":"https://www.wikidata.org/wiki/Q10167591","display_name":"Initial value problem","level":2,"score":0.44263556599617004},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4373360276222229},{"id":"https://openalex.org/C49344536","wikidata":"https://www.wikidata.org/wiki/Q726441","display_name":"Cauchy distribution","level":2,"score":0.4328634440898895},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.40689972043037415},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3371135890483856},{"id":"https://openalex.org/C45962547","wikidata":"https://www.wikidata.org/wiki/Q1422068","display_name":"Fixed-point theorem","level":2,"score":0.17192435264587402},{"id":"https://openalex.org/C48540410","wikidata":"https://www.wikidata.org/wiki/Q5221089","display_name":"Danskin's theorem","level":4,"score":0.12359827756881714},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.08014795184135437},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"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/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/s0020-0255(97)10064-0","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0020-0255(97)10064-0","pdf_url":null,"source":{"id":"https://openalex.org/S192650101","display_name":"Information Sciences","issn_l":"0020-0255","issn":["0020-0255","1872-6291"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Information Sciences","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W1502315489","https://openalex.org/W1574435983","https://openalex.org/W1592142621","https://openalex.org/W1965955764","https://openalex.org/W1974770429","https://openalex.org/W1977914365","https://openalex.org/W2003184377","https://openalex.org/W2005864702","https://openalex.org/W2006127887","https://openalex.org/W2009062909","https://openalex.org/W2021244475","https://openalex.org/W2022135193","https://openalex.org/W2076628063","https://openalex.org/W2093472053","https://openalex.org/W2093827652","https://openalex.org/W2315652121","https://openalex.org/W2497793417","https://openalex.org/W3139889408"],"related_works":["https://openalex.org/W2025560395","https://openalex.org/W1967564661","https://openalex.org/W2597889861","https://openalex.org/W2359037450","https://openalex.org/W2331224706","https://openalex.org/W2090809547","https://openalex.org/W4250507736","https://openalex.org/W1988570174","https://openalex.org/W3115303315","https://openalex.org/W50994616"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2020,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":7},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":11},{"year":2013,"cited_by_count":12},{"year":2012,"cited_by_count":10}],"updated_date":"2026-04-16T08:26:57.006410","created_date":"2025-10-10T00:00:00"}
