{"id":"https://openalex.org/W3010974812","doi":"https://doi.org/10.3233/jifs-191148","title":"Some theoretical results on the stability of uncertain pantograph differential equations","display_name":"Some theoretical results on the stability of uncertain pantograph differential equations","publication_year":2020,"publication_date":"2020-03-11","ids":{"openalex":"https://openalex.org/W3010974812","doi":"https://doi.org/10.3233/jifs-191148","mag":"3010974812"},"language":"en","primary_location":{"id":"doi:10.3233/jifs-191148","is_oa":false,"landing_page_url":"https://doi.org/10.3233/jifs-191148","pdf_url":null,"source":{"id":"https://openalex.org/S179157397","display_name":"Journal of Intelligent & Fuzzy Systems","issn_l":"1064-1246","issn":["1064-1246","1875-8967"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Intelligent &amp; Fuzzy Systems","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/A5061363420","display_name":"Xiao Wang","orcid":"https://orcid.org/0000-0002-0663-6865"},"institutions":[{"id":"https://openalex.org/I130541836","display_name":"Beijing Institute of Petrochemical Technology","ror":"https://ror.org/025s55q11","country_code":"CN","type":"education","lineage":["https://openalex.org/I130541836"]},{"id":"https://openalex.org/I4210109779","display_name":"China Academy of Safety Sciences and Technology","ror":"https://ror.org/01pwpsm46","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210109779"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Xiao Wang","raw_affiliation_strings":["Beijing Academy of Safety Engineering and Technology, Beijing, China","School of Economics and Management, Beijing Institute of Petrochemical Technology, Beijing, China"],"affiliations":[{"raw_affiliation_string":"Beijing Academy of Safety Engineering and Technology, Beijing, China","institution_ids":["https://openalex.org/I4210109779"]},{"raw_affiliation_string":"School of Economics and Management, Beijing Institute of Petrochemical Technology, Beijing, China","institution_ids":["https://openalex.org/I130541836"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5061363420"],"corresponding_institution_ids":["https://openalex.org/I130541836","https://openalex.org/I4210109779"],"apc_list":null,"apc_paid":null,"fwci":1.0798,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.77958398,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"38","issue":"4","first_page":"4431","last_page":"4439"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12135","display_name":"Fuzzy Systems and Optimization","score":0.9998000264167786,"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":0.9998000264167786,"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":0.9990000128746033,"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/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9853000044822693,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"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/pantograph","display_name":"Pantograph","score":0.9125640988349915},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.6493847370147705},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6037867069244385},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5628669261932373},{"id":"https://openalex.org/keywords/moment","display_name":"Moment (physics)","score":0.5341165661811829},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.5228914618492126},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.48083174228668213},{"id":"https://openalex.org/keywords/delay-differential-equation","display_name":"Delay differential equation","score":0.47209399938583374},{"id":"https://openalex.org/keywords/differential","display_name":"Differential (mechanical device)","score":0.45804351568222046},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3926038146018982},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.26557546854019165},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.12883776426315308},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.06316018104553223},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.054005712270736694}],"concepts":[{"id":"https://openalex.org/C20756127","wikidata":"https://www.wikidata.org/wiki/Q722757","display_name":"Pantograph","level":2,"score":0.9125640988349915},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.6493847370147705},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6037867069244385},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5628669261932373},{"id":"https://openalex.org/C179254644","wikidata":"https://www.wikidata.org/wiki/Q13222844","display_name":"Moment (physics)","level":2,"score":0.5341165661811829},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.5228914618492126},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.48083174228668213},{"id":"https://openalex.org/C147504518","wikidata":"https://www.wikidata.org/wiki/Q2146125","display_name":"Delay differential equation","level":3,"score":0.47209399938583374},{"id":"https://openalex.org/C93226319","wikidata":"https://www.wikidata.org/wiki/Q193137","display_name":"Differential (mechanical device)","level":2,"score":0.45804351568222046},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3926038146018982},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.26557546854019165},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.12883776426315308},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.06316018104553223},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.054005712270736694},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0},{"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/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3233/jifs-191148","is_oa":false,"landing_page_url":"https://doi.org/10.3233/jifs-191148","pdf_url":null,"source":{"id":"https://openalex.org/S179157397","display_name":"Journal of Intelligent & Fuzzy Systems","issn_l":"1064-1246","issn":["1064-1246","1875-8967"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Intelligent &amp; Fuzzy Systems","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":32,"referenced_works":["https://openalex.org/W632189368","https://openalex.org/W1511895114","https://openalex.org/W1606449868","https://openalex.org/W1990781511","https://openalex.org/W1997835454","https://openalex.org/W2022113217","https://openalex.org/W2026999635","https://openalex.org/W2074656786","https://openalex.org/W2075420946","https://openalex.org/W2077900908","https://openalex.org/W2126151844","https://openalex.org/W2127740852","https://openalex.org/W2135051471","https://openalex.org/W2145137020","https://openalex.org/W2151376743","https://openalex.org/W2159601837","https://openalex.org/W2164919501","https://openalex.org/W2317926736","https://openalex.org/W2332005482","https://openalex.org/W2484638022","https://openalex.org/W2590563850","https://openalex.org/W2592672261","https://openalex.org/W2594419385","https://openalex.org/W2724144061","https://openalex.org/W2770693699","https://openalex.org/W2804988839","https://openalex.org/W2895871213","https://openalex.org/W2898731696","https://openalex.org/W2969223442","https://openalex.org/W6678868654","https://openalex.org/W6682597882","https://openalex.org/W7015862946"],"related_works":["https://openalex.org/W2586708834","https://openalex.org/W1261320338","https://openalex.org/W1675687971","https://openalex.org/W2942981489","https://openalex.org/W2924035449","https://openalex.org/W2954452568","https://openalex.org/W4226042226","https://openalex.org/W2086307616","https://openalex.org/W2903509708","https://openalex.org/W4388044483"],"abstract_inverted_index":{"Uncertain":[0],"pantograph":[1,24,55,66],"differential":[2,9,25,39,56,67],"equation":[3],"is":[4],"a":[5],"new":[6],"type":[7,37],"of":[8,22,35,38,43,91],"equations":[10,57,68],"in":[11,45,49,71,74],"uncertainty":[12],"theory.":[13],"In":[14,27],"this":[15,29,36,81],"paper,":[16],"we":[17],"first":[18],"give":[19],"the":[20,33,61,85],"concept":[21],"uncertain":[23,54,65],"equation.":[26],"addition,":[28],"paper":[30,82],"aims":[31],"at":[32],"stability":[34,44,48],"equations.":[40],"The":[41],"concepts":[42],"measure":[46,72],"and":[47,60,73],"p":[50,75],"th":[51,76],"moment":[52,77],"for":[53,64],"are":[58,78],"presented":[59],"sufficient":[62],"conditions":[63],"being":[69],"stable":[70],"derived.":[79],"Finally,":[80],"also":[83],"discusses":[84],"relationship":[86],"between":[87],"these":[88],"two":[89],"types":[90],"stability.":[92]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2}],"updated_date":"2026-02-06T02:01:19.302388","created_date":"2025-10-10T00:00:00"}
