{"id":"https://openalex.org/W2891779405","doi":"https://doi.org/10.1080/00207179.2018.1518597","title":"Approximate controllability for semilinear second-order stochastic evolution systems with infinite delay","display_name":"Approximate controllability for semilinear second-order stochastic evolution systems with infinite delay","publication_year":2018,"publication_date":"2018-09-03","ids":{"openalex":"https://openalex.org/W2891779405","doi":"https://doi.org/10.1080/00207179.2018.1518597","mag":"2891779405"},"language":"en","primary_location":{"id":"doi:10.1080/00207179.2018.1518597","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207179.2018.1518597","pdf_url":null,"source":{"id":"https://openalex.org/S88061139","display_name":"International Journal of Control","issn_l":"0020-7179","issn":["0020-7179","1366-5820"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Control","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/A5009111422","display_name":"Xiaofeng Su","orcid":"https://orcid.org/0009-0008-8472-3199"},"institutions":[{"id":"https://openalex.org/I66867065","display_name":"East China Normal University","ror":"https://ror.org/02n96ep67","country_code":"CN","type":"education","lineage":["https://openalex.org/I66867065"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiaofeng Su","raw_affiliation_strings":["School of Mathematical Sciences, Shanghai Key Laboratory of PMMP, East China Normal University, Shanghai, P. R. of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Shanghai Key Laboratory of PMMP, East China Normal University, Shanghai, P. R. of China","institution_ids":["https://openalex.org/I66867065"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5054222131","display_name":"Xianlong Fu","orcid":"https://orcid.org/0000-0002-4617-4749"},"institutions":[{"id":"https://openalex.org/I66867065","display_name":"East China Normal University","ror":"https://ror.org/02n96ep67","country_code":"CN","type":"education","lineage":["https://openalex.org/I66867065"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Xianlong Fu","raw_affiliation_strings":["School of Mathematical Sciences, Shanghai Key Laboratory of PMMP, East China Normal University, Shanghai, P. R. of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Shanghai Key Laboratory of PMMP, East China Normal University, Shanghai, P. R. of China","institution_ids":["https://openalex.org/I66867065"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5054222131"],"corresponding_institution_ids":["https://openalex.org/I66867065"],"apc_list":null,"apc_paid":null,"fwci":0.7304,"has_fulltext":false,"cited_by_count":15,"citation_normalized_percentile":{"value":0.72290023,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"93","issue":"7","first_page":"1558","last_page":"1569"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10541","display_name":"Nonlinear Differential Equations Analysis","score":0.9994000196456909,"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/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9969000220298767,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/controllability","display_name":"Controllability","score":0.9347141981124878},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8098010420799255},{"id":"https://openalex.org/keywords/resolvent","display_name":"Resolvent","score":0.6946434378623962},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5633746385574341},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.5611140727996826},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5575505495071411},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5517065525054932},{"id":"https://openalex.org/keywords/laplace-transform","display_name":"Laplace transform","score":0.55136638879776},{"id":"https://openalex.org/keywords/transformation","display_name":"Transformation (genetics)","score":0.522524356842041},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.47763219475746155},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3937271237373352},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.3245844841003418},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.10768315196037292},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.0725392997264862}],"concepts":[{"id":"https://openalex.org/C48209547","wikidata":"https://www.wikidata.org/wiki/Q1331104","display_name":"Controllability","level":2,"score":0.9347141981124878},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8098010420799255},{"id":"https://openalex.org/C196267783","wikidata":"https://www.wikidata.org/wiki/Q4392490","display_name":"Resolvent","level":2,"score":0.6946434378623962},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5633746385574341},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5611140727996826},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5575505495071411},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5517065525054932},{"id":"https://openalex.org/C97937538","wikidata":"https://www.wikidata.org/wiki/Q199691","display_name":"Laplace transform","level":2,"score":0.55136638879776},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.522524356842041},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.47763219475746155},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3937271237373352},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3245844841003418},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.10768315196037292},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0725392997264862},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00207179.2018.1518597","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207179.2018.1518597","pdf_url":null,"source":{"id":"https://openalex.org/S88061139","display_name":"International Journal of Control","issn_l":"0020-7179","issn":["0020-7179","1366-5820"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Control","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2591772341","display_name":"\u6cdb\u51fd\u5fae\u5206\u53d1\u5c55\u7cfb\u7edf\u52a8\u529b\u5b66\u884c\u4e3a\u4e0e\u63a7\u5236\u7814\u7a76","funder_award_id":"11671142","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6348689744","display_name":null,"funder_award_id":"18dz2271000","funder_id":"https://openalex.org/F4320321885","funder_display_name":"Science and Technology Commission of Shanghai Municipality"},{"id":"https://openalex.org/G7355155713","display_name":"\u73b0\u5b9e\u7f51\u7edc\u4e0a\u7684\u4fe1\u606f\u6216\u75be\u75c5\u6269\u6563\u673a\u5236\u4e0e\u6f14\u5316\u89c4\u5f8b\u7814\u7a76","funder_award_id":"11771075","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"},{"id":"https://openalex.org/F4320321885","display_name":"Science and Technology Commission of Shanghai Municipality","ror":"https://ror.org/03kt66j61"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":44,"referenced_works":["https://openalex.org/W278350770","https://openalex.org/W585338188","https://openalex.org/W599293027","https://openalex.org/W995477476","https://openalex.org/W1460982419","https://openalex.org/W1485875760","https://openalex.org/W1505057802","https://openalex.org/W1536762869","https://openalex.org/W1538686203","https://openalex.org/W1542004730","https://openalex.org/W1975550003","https://openalex.org/W1976009629","https://openalex.org/W1976631336","https://openalex.org/W1982230140","https://openalex.org/W1990706975","https://openalex.org/W1990723703","https://openalex.org/W1992264114","https://openalex.org/W1994345911","https://openalex.org/W1996607325","https://openalex.org/W2006444290","https://openalex.org/W2011365344","https://openalex.org/W2030064323","https://openalex.org/W2043465077","https://openalex.org/W2049038005","https://openalex.org/W2050211619","https://openalex.org/W2058707134","https://openalex.org/W2066118488","https://openalex.org/W2087211742","https://openalex.org/W2093325117","https://openalex.org/W2167236676","https://openalex.org/W2190158699","https://openalex.org/W2239496569","https://openalex.org/W2265079726","https://openalex.org/W2273296177","https://openalex.org/W2416494306","https://openalex.org/W2502612839","https://openalex.org/W2554819779","https://openalex.org/W2891779405","https://openalex.org/W3023816683","https://openalex.org/W3187712763","https://openalex.org/W4210532412","https://openalex.org/W4236369371","https://openalex.org/W4300475775","https://openalex.org/W4302334097"],"related_works":["https://openalex.org/W2036697162","https://openalex.org/W2332386680","https://openalex.org/W2561315646","https://openalex.org/W2248621902","https://openalex.org/W2003779889","https://openalex.org/W4205698120","https://openalex.org/W4239246781","https://openalex.org/W2542825942","https://openalex.org/W3201620972","https://openalex.org/W1496421768"],"abstract_inverted_index":{"In":[0],"this":[1],"work,":[2],"we":[3],"study":[4],"the":[5,24,36,43,55,60,78],"approximate":[6,37],"controllability":[7,38],"for":[8,35],"a":[9],"class":[10],"of":[11,50],"semilinear":[12],"second-order":[13],"stochastic":[14],"evolution":[15],"systems":[16],"with":[17],"infinite":[18],"delay.":[19],"The":[20],"main":[21],"technique":[22],"is":[23,40,74],"fundamental":[25,56],"solution":[26,57],"theory":[27,58],"constructed":[28],"through":[29],"Laplace":[30],"transformation.":[31],"Some":[32],"sufficient":[33],"conditions":[34],"result":[39],"obtained":[41,79],"via":[42],"so-called":[44],"resolvent":[45],"condition":[46],"and":[47],"cosine":[48],"family":[49],"linear":[51],"operators.":[52],"Duo":[53],"to":[54,66,76],"applied,":[59],"nonlinear":[61],"terms":[62],"are":[63],"only":[64],"required":[65],"be":[67],"partly":[68],"uniformly":[69],"bounded.":[70],"Finally,":[71],"an":[72],"example":[73],"provided":[75],"illustrate":[77],"results.":[80]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1}],"updated_date":"2026-07-13T07:31:44.756512","created_date":"2025-10-10T00:00:00"}
