{"id":"https://openalex.org/W3042754257","doi":"https://doi.org/10.3233/jifs-200426","title":"Stability in mean and almost sure stability for uncertain pantograph differential equations","display_name":"Stability in mean and almost sure stability for uncertain pantograph differential equations","publication_year":2020,"publication_date":"2020-07-16","ids":{"openalex":"https://openalex.org/W3042754257","doi":"https://doi.org/10.3233/jifs-200426","mag":"3042754257"},"language":"en","primary_location":{"id":"doi:10.3233/jifs-200426","is_oa":false,"landing_page_url":"https://doi.org/10.3233/jifs-200426","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"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5081275530","display_name":"Zhen Peng","orcid":"https://orcid.org/0000-0001-9907-017X"},"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"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhen Peng","raw_affiliation_strings":["School of Economics and Management, Beijing Institute of Petrochemical Technology, Beijing, China"],"affiliations":[{"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":2,"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":0.8639,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.75316828,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"39","issue":"3","first_page":"4443","last_page":"4452"},"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":0.9952999949455261,"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/T10545","display_name":"Optimization and Variational Analysis","score":0.9868999719619751,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/pantograph","display_name":"Pantograph","score":0.8858094811439514},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.7474856376647949},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.6271634697914124},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6020912528038025},{"id":"https://openalex.org/keywords/differential","display_name":"Differential (mechanical device)","score":0.5029942393302917},{"id":"https://openalex.org/keywords/delay-differential-equation","display_name":"Delay differential equation","score":0.5006537437438965},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.4288838505744934},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3685725927352905},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.36786019802093506},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.32720521092414856},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.25462496280670166},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.11230149865150452},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.08310100436210632},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.043661266565322876}],"concepts":[{"id":"https://openalex.org/C20756127","wikidata":"https://www.wikidata.org/wiki/Q722757","display_name":"Pantograph","level":2,"score":0.8858094811439514},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.7474856376647949},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.6271634697914124},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6020912528038025},{"id":"https://openalex.org/C93226319","wikidata":"https://www.wikidata.org/wiki/Q193137","display_name":"Differential (mechanical device)","level":2,"score":0.5029942393302917},{"id":"https://openalex.org/C147504518","wikidata":"https://www.wikidata.org/wiki/Q2146125","display_name":"Delay differential equation","level":3,"score":0.5006537437438965},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.4288838505744934},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3685725927352905},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.36786019802093506},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.32720521092414856},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.25462496280670166},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.11230149865150452},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.08310100436210632},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.043661266565322876},{"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/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3233/jifs-200426","is_oa":false,"landing_page_url":"https://doi.org/10.3233/jifs-200426","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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W1850262345","https://openalex.org/W1991877218","https://openalex.org/W2002458302","https://openalex.org/W2009342598","https://openalex.org/W2010961386","https://openalex.org/W2022113217","https://openalex.org/W2032647616","https://openalex.org/W2076024467","https://openalex.org/W2079304346","https://openalex.org/W2081442517","https://openalex.org/W2088945003","https://openalex.org/W2126151844","https://openalex.org/W2127740852","https://openalex.org/W2142004657","https://openalex.org/W2146747427","https://openalex.org/W2147574344","https://openalex.org/W2151376743","https://openalex.org/W2164919501","https://openalex.org/W2317926736","https://openalex.org/W2625976379","https://openalex.org/W2761067484","https://openalex.org/W2811198387","https://openalex.org/W2886257756","https://openalex.org/W2895871213","https://openalex.org/W2903958362","https://openalex.org/W2908474057","https://openalex.org/W2966114010","https://openalex.org/W2971031788","https://openalex.org/W3010974812","https://openalex.org/W6678868654","https://openalex.org/W6682597882"],"related_works":["https://openalex.org/W1261320338","https://openalex.org/W2056281781","https://openalex.org/W2942981489","https://openalex.org/W2924035449","https://openalex.org/W2086307616","https://openalex.org/W2954452568","https://openalex.org/W2903509708","https://openalex.org/W4388044483","https://openalex.org/W2035560597","https://openalex.org/W2977631248"],"abstract_inverted_index":{"Uncertain":[0],"pantograph":[1,9,33,50,63],"differential":[2,10,34,51,64],"equations":[3,11,52,65],"are":[4,53],"an":[5],"important":[6],"class":[7],"of":[8,21,40],"driven":[12],"by":[13],"uncertain":[14,32,49,62],"process.":[15],"This":[16],"paper":[17,76],"investigates":[18],"two":[19],"types":[20],"stability,":[22,30],"namely":[23],"stability":[24,41,47,83,88,92],"in":[25,42,68,84,93],"mean":[26,43,69],"and":[27,44,70],"almost":[28,45,72,86],"sure":[29,46,87],"for":[31,48,61],"equations.":[35],"In":[36],"detail,":[37],"the":[38,58,80],"concepts":[39],"presented.":[54],"Moreover,":[55],"we":[56],"reveal":[57],"sufficient":[59],"conditions":[60],"being":[66],"stable":[67,71],"surely.":[73],"Finally,":[74],"this":[75],"attempts":[77],"to":[78],"explore":[79],"relationships":[81],"among":[82],"mean,":[85],"as":[89,91],"well":[90],"measure.":[94]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
