{"id":"https://openalex.org/W1137053632","doi":"https://doi.org/10.1007/s00500-015-1788-0","title":"Stability of multi-dimensional uncertain differential equation","display_name":"Stability of multi-dimensional uncertain differential equation","publication_year":2015,"publication_date":"2015-07-17","ids":{"openalex":"https://openalex.org/W1137053632","doi":"https://doi.org/10.1007/s00500-015-1788-0","mag":"1137053632"},"language":"en","primary_location":{"id":"doi:10.1007/s00500-015-1788-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00500-015-1788-0","pdf_url":null,"source":{"id":"https://openalex.org/S65753830","display_name":"Soft Computing","issn_l":"1432-7643","issn":["1432-7643","1433-7479"],"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":"Soft Computing","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/A5002657825","display_name":"Taoyong Su","orcid":"https://orcid.org/0000-0001-8282-9899"},"institutions":[{"id":"https://openalex.org/I116953780","display_name":"Tongji University","ror":"https://ror.org/03rc6as71","country_code":"CN","type":"education","lineage":["https://openalex.org/I116953780"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Taoyong Su","raw_affiliation_strings":["School of Economics and Management, Tongji University, Shanghai, 200092, China","School of Economics and Management, Tongji University, Shanghai, China 200092"],"affiliations":[{"raw_affiliation_string":"School of Economics and Management, Tongji University, Shanghai, 200092, China","institution_ids":["https://openalex.org/I116953780"]},{"raw_affiliation_string":"School of Economics and Management, Tongji University, Shanghai, China 200092","institution_ids":["https://openalex.org/I116953780"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5037060465","display_name":"Huishan Wu","orcid":null},"institutions":[{"id":"https://openalex.org/I90259746","display_name":"Capital University of Economics and Business","ror":"https://ror.org/01r5sf951","country_code":"CN","type":"education","lineage":["https://openalex.org/I90259746"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Huishan Wu","raw_affiliation_strings":["School of Statistics, Capital University of Economics and Business, Beijing, 100070, China","School of Statistics, Capital University of Economics and Business, Beijing, China 100070#TAB#"],"affiliations":[{"raw_affiliation_string":"School of Statistics, Capital University of Economics and Business, Beijing, 100070, China","institution_ids":["https://openalex.org/I90259746"]},{"raw_affiliation_string":"School of Statistics, Capital University of Economics and Business, Beijing, China 100070#TAB#","institution_ids":["https://openalex.org/I90259746"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5002127031","display_name":"Jian Zhou","orcid":"https://orcid.org/0000-0001-7835-8879"},"institutions":[{"id":"https://openalex.org/I113940042","display_name":"Shanghai University","ror":"https://ror.org/006teas31","country_code":"CN","type":"education","lineage":["https://openalex.org/I113940042"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jian Zhou","raw_affiliation_strings":["School of Management, Shanghai University, Shanghai, 200444, China","School of Management, Shanghai University, Shanghai, China, 200444"],"affiliations":[{"raw_affiliation_string":"School of Management, Shanghai University, Shanghai, 200444, China","institution_ids":["https://openalex.org/I113940042"]},{"raw_affiliation_string":"School of Management, Shanghai University, Shanghai, China, 200444","institution_ids":["https://openalex.org/I113940042"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5002657825"],"corresponding_institution_ids":["https://openalex.org/I116953780"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":1.4223,"has_fulltext":false,"cited_by_count":18,"citation_normalized_percentile":{"value":0.82067081,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"20","issue":"12","first_page":"4991","last_page":"4998"},"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/T10541","display_name":"Nonlinear Differential Equations Analysis","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/T12508","display_name":"Functional Equations Stability Results","score":0.982200026512146,"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/differential-equation","display_name":"Differential equation","score":0.7057169079780579},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6398347020149231},{"id":"https://openalex.org/keywords/first-order-partial-differential-equation","display_name":"First-order partial differential equation","score":0.6213309168815613},{"id":"https://openalex.org/keywords/counterexample","display_name":"Counterexample","score":0.5870565176010132},{"id":"https://openalex.org/keywords/universal-differential-equation","display_name":"Universal differential equation","score":0.5589374303817749},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5372433662414551},{"id":"https://openalex.org/keywords/integrating-factor","display_name":"Integrating factor","score":0.5159924030303955},{"id":"https://openalex.org/keywords/exact-differential-equation","display_name":"Exact differential equation","score":0.4826708137989044},{"id":"https://openalex.org/keywords/delay-differential-equation","display_name":"Delay differential equation","score":0.42316609621047974},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.4215444028377533},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.41517624258995056},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3653925657272339},{"id":"https://openalex.org/keywords/ordinary-differential-equation","display_name":"Ordinary differential equation","score":0.32043617963790894},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2957189083099365},{"id":"https://openalex.org/keywords/differential-algebraic-equation","display_name":"Differential algebraic equation","score":0.22612378001213074}],"concepts":[{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.7057169079780579},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6398347020149231},{"id":"https://openalex.org/C64057670","wikidata":"https://www.wikidata.org/wiki/Q4381442","display_name":"First-order partial differential equation","level":3,"score":0.6213309168815613},{"id":"https://openalex.org/C162838799","wikidata":"https://www.wikidata.org/wiki/Q596077","display_name":"Counterexample","level":2,"score":0.5870565176010132},{"id":"https://openalex.org/C155237215","wikidata":"https://www.wikidata.org/wiki/Q7894123","display_name":"Universal differential equation","level":5,"score":0.5589374303817749},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5372433662414551},{"id":"https://openalex.org/C163105828","wikidata":"https://www.wikidata.org/wiki/Q2734005","display_name":"Integrating factor","level":5,"score":0.5159924030303955},{"id":"https://openalex.org/C185184677","wikidata":"https://www.wikidata.org/wiki/Q1366795","display_name":"Exact differential equation","level":4,"score":0.4826708137989044},{"id":"https://openalex.org/C147504518","wikidata":"https://www.wikidata.org/wiki/Q2146125","display_name":"Delay differential equation","level":3,"score":0.42316609621047974},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.4215444028377533},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.41517624258995056},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3653925657272339},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.32043617963790894},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2957189083099365},{"id":"https://openalex.org/C186219872","wikidata":"https://www.wikidata.org/wiki/Q955889","display_name":"Differential algebraic equation","level":4,"score":0.22612378001213074},{"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/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00500-015-1788-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00500-015-1788-0","pdf_url":null,"source":{"id":"https://openalex.org/S65753830","display_name":"Soft Computing","issn_l":"1432-7643","issn":["1432-7643","1433-7479"],"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":"Soft Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G5716545220","display_name":null,"funder_award_id":"GN:71402121","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"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":29,"referenced_works":["https://openalex.org/W1964364544","https://openalex.org/W1990845486","https://openalex.org/W1999402496","https://openalex.org/W2009885925","https://openalex.org/W2024516779","https://openalex.org/W2051563587","https://openalex.org/W2068079234","https://openalex.org/W2075420946","https://openalex.org/W2091403477","https://openalex.org/W2105563003","https://openalex.org/W2126151844","https://openalex.org/W2132744305","https://openalex.org/W2132842594","https://openalex.org/W2136967090","https://openalex.org/W2142004657","https://openalex.org/W2142072149","https://openalex.org/W2147574344","https://openalex.org/W2151376743","https://openalex.org/W2152380123","https://openalex.org/W2157904088","https://openalex.org/W2163991121","https://openalex.org/W2164919501","https://openalex.org/W2187903239","https://openalex.org/W2188165202","https://openalex.org/W2274279545","https://openalex.org/W2807237064","https://openalex.org/W2912189486","https://openalex.org/W4206830167","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2372647600","https://openalex.org/W2365635378","https://openalex.org/W2055020273","https://openalex.org/W3021931947","https://openalex.org/W3023063326","https://openalex.org/W2370113799","https://openalex.org/W2350052926","https://openalex.org/W2924035449","https://openalex.org/W3092968432","https://openalex.org/W2489426763"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2017,"cited_by_count":4}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
