{"id":"https://openalex.org/W1989117449","doi":"https://doi.org/10.1137/s0363012901391688","title":"Approximate Controllability of Semilinear Deterministic and Stochastic Evolution Equations in Abstract Spaces","display_name":"Approximate Controllability of Semilinear Deterministic and Stochastic Evolution Equations in Abstract Spaces","publication_year":2003,"publication_date":"2003-01-01","ids":{"openalex":"https://openalex.org/W1989117449","doi":"https://doi.org/10.1137/s0363012901391688","mag":"1989117449"},"language":"en","primary_location":{"id":"doi:10.1137/s0363012901391688","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0363012901391688","pdf_url":null,"source":{"id":"https://openalex.org/S897311980","display_name":"SIAM Journal on Control and Optimization","issn_l":"0363-0129","issn":["0363-0129","1095-7138"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Control and Optimization","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/A5037407023","display_name":"Naz\u0131m I. Mahmudov","orcid":"https://orcid.org/0000-0003-3943-1732"},"institutions":[{"id":"https://openalex.org/I36515993","display_name":"Eastern Mediterranean University","ror":"https://ror.org/00excyz84","country_code":"CY","type":"education","lineage":["https://openalex.org/I36515993"]}],"countries":["CY"],"is_corresponding":true,"raw_author_name":"Nazim I. Mahmudov","raw_affiliation_strings":["Eastern Mediterranean University,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Eastern Mediterranean University,","institution_ids":["https://openalex.org/I36515993"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5037407023"],"corresponding_institution_ids":["https://openalex.org/I36515993"],"apc_list":null,"apc_paid":null,"fwci":5.7335,"has_fulltext":false,"cited_by_count":329,"citation_normalized_percentile":{"value":0.95122691,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":98,"max":100},"biblio":{"volume":"42","issue":"5","first_page":"1604","last_page":"1622"},"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":0.9998999834060669,"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":0.9998999834060669,"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":0.9983000159263611,"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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9980999827384949,"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/controllability","display_name":"Controllability","score":0.9755443334579468},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8844423294067383},{"id":"https://openalex.org/keywords/fixed-point-theorem","display_name":"Fixed-point theorem","score":0.5495036840438843},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5298157930374146},{"id":"https://openalex.org/keywords/contraction","display_name":"Contraction (grammar)","score":0.51743084192276},{"id":"https://openalex.org/keywords/fixed-point","display_name":"Fixed point","score":0.4662887752056122},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4089997410774231},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.36831405758857727}],"concepts":[{"id":"https://openalex.org/C48209547","wikidata":"https://www.wikidata.org/wiki/Q1331104","display_name":"Controllability","level":2,"score":0.9755443334579468},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8844423294067383},{"id":"https://openalex.org/C45962547","wikidata":"https://www.wikidata.org/wiki/Q1422068","display_name":"Fixed-point theorem","level":2,"score":0.5495036840438843},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5298157930374146},{"id":"https://openalex.org/C163415756","wikidata":"https://www.wikidata.org/wiki/Q126473","display_name":"Contraction (grammar)","level":2,"score":0.51743084192276},{"id":"https://openalex.org/C61445026","wikidata":"https://www.wikidata.org/wiki/Q217608","display_name":"Fixed point","level":2,"score":0.4662887752056122},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4089997410774231},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.36831405758857727},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C126322002","wikidata":"https://www.wikidata.org/wiki/Q11180","display_name":"Internal medicine","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/s0363012901391688","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0363012901391688","pdf_url":null,"source":{"id":"https://openalex.org/S897311980","display_name":"SIAM Journal on Control and Optimization","issn_l":"0363-0129","issn":["0363-0129","1095-7138"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Control and Optimization","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":38,"referenced_works":["https://openalex.org/W29191813","https://openalex.org/W30907860","https://openalex.org/W251890296","https://openalex.org/W408876287","https://openalex.org/W1040946923","https://openalex.org/W1489222793","https://openalex.org/W1527296550","https://openalex.org/W1538686203","https://openalex.org/W1542004730","https://openalex.org/W1571840955","https://openalex.org/W1719386867","https://openalex.org/W1986721566","https://openalex.org/W1987524094","https://openalex.org/W1990723703","https://openalex.org/W1994972123","https://openalex.org/W2004692337","https://openalex.org/W2004792665","https://openalex.org/W2006355639","https://openalex.org/W2011365344","https://openalex.org/W2021429864","https://openalex.org/W2030157947","https://openalex.org/W2033244522","https://openalex.org/W2041997566","https://openalex.org/W2042669370","https://openalex.org/W2050082422","https://openalex.org/W2063686245","https://openalex.org/W2070267886","https://openalex.org/W2080339242","https://openalex.org/W2093708252","https://openalex.org/W2101874122","https://openalex.org/W2103284380","https://openalex.org/W2121552308","https://openalex.org/W2121776795","https://openalex.org/W2134354547","https://openalex.org/W4213320803","https://openalex.org/W4245735018","https://openalex.org/W4298264812","https://openalex.org/W4300475775"],"related_works":["https://openalex.org/W2846516035","https://openalex.org/W4249977926","https://openalex.org/W2585118952","https://openalex.org/W2012141574","https://openalex.org/W2985828462","https://openalex.org/W2354765335","https://openalex.org/W3123504591","https://openalex.org/W2369544116","https://openalex.org/W1691643469","https://openalex.org/W4244119288"],"abstract_inverted_index":{"Various":[0],"sufficient":[1],"conditions":[2],"for":[3],"approximate":[4,17,36],"controllability":[5,18,37],"of":[6,19,38,67],"linear":[7,54],"evolution":[8],"systems":[9,22,46],"in":[10,73],"abstract":[11,40],"spaces":[12],"have":[13],"been":[14],"obtained,":[15],"but":[16],"semilinear":[20,41],"control":[21,45,55],"usually":[23],"requires":[24],"some":[25],"complicated":[26],"and":[27,43],"limited":[28],"assumptions.":[29],"In":[30],"this":[31,74],"paper,":[32],"we":[33],"show":[34],"the":[35,39,48,52,78,84],"deterministic":[42],"stochastic":[44],"under":[47],"natural":[49],"assumption":[50],"that":[51],"associated":[53],"system":[56],"is":[57],"approximately":[58],"controllable.":[59],"The":[60],"results":[61],"are":[62,71],"obtained":[63],"using":[64],"new":[65],"properties":[66],"symmetric":[68],"operators":[69],"(which":[70],"proved":[72],"paper),":[75],"compact":[76],"semigroups,":[77],"Schauder":[79],"fixed":[80],"point":[81],"theorem,":[82],"and/or":[83],"contraction":[85],"mapping":[86],"principle.":[87]},"counts_by_year":[{"year":2026,"cited_by_count":19},{"year":2025,"cited_by_count":24},{"year":2024,"cited_by_count":20},{"year":2023,"cited_by_count":29},{"year":2022,"cited_by_count":22},{"year":2021,"cited_by_count":21},{"year":2020,"cited_by_count":22},{"year":2019,"cited_by_count":14},{"year":2018,"cited_by_count":17},{"year":2017,"cited_by_count":16},{"year":2016,"cited_by_count":21},{"year":2015,"cited_by_count":20},{"year":2014,"cited_by_count":15},{"year":2013,"cited_by_count":23},{"year":2012,"cited_by_count":6}],"updated_date":"2026-06-04T09:04:59.091469","created_date":"2025-10-10T00:00:00"}