{"id":"https://openalex.org/W2091779051","doi":"https://doi.org/10.1137/080744165","title":"Some New Aspects of Lyapunov-Type Theorems for Stochastic Differential Equations of Neutral Type","display_name":"Some New Aspects of Lyapunov-Type Theorems for Stochastic Differential Equations of Neutral Type","publication_year":2010,"publication_date":"2010-01-01","ids":{"openalex":"https://openalex.org/W2091779051","doi":"https://doi.org/10.1137/080744165","mag":"2091779051"},"language":"en","primary_location":{"id":"doi:10.1137/080744165","is_oa":false,"landing_page_url":"https://doi.org/10.1137/080744165","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/A5067012309","display_name":"Leonid Shaikhet","orcid":"https://orcid.org/0000-0001-7354-1383"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"L. Shaikhet","raw_affiliation_strings":["leonid@dsum.edu.ua and leonid.shaikhet@usa.net#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"leonid@dsum.edu.ua and leonid.shaikhet@usa.net#TAB#","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5067012309"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":3.076,"has_fulltext":false,"cited_by_count":25,"citation_normalized_percentile":{"value":0.9256539,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"48","issue":"7","first_page":"4481","last_page":"4499"},"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":0.9940999746322632,"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":0.9940999746322632,"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/T10067","display_name":"Stochastic processes and financial applications","score":0.992900013923645,"subfield":{"id":"https://openalex.org/subfields/2003","display_name":"Finance"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T13234","display_name":"advanced mathematical theories","score":0.9746000170707703,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/mathematics","display_name":"Mathematics","score":0.8884603381156921},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.765985369682312},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.7596244215965271},{"id":"https://openalex.org/keywords/lyapunov-equation","display_name":"Lyapunov equation","score":0.5564197897911072},{"id":"https://openalex.org/keywords/stochastic-differential-equation","display_name":"Stochastic differential equation","score":0.5265657901763916},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5043808221817017},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.4877656102180481},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.4801059067249298},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.38834095001220703},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.15296363830566406},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.06269857287406921}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8884603381156921},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.765985369682312},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.7596244215965271},{"id":"https://openalex.org/C25854792","wikidata":"https://www.wikidata.org/wiki/Q1028945","display_name":"Lyapunov equation","level":4,"score":0.5564197897911072},{"id":"https://openalex.org/C51955184","wikidata":"https://www.wikidata.org/wiki/Q1545585","display_name":"Stochastic differential equation","level":2,"score":0.5265657901763916},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5043808221817017},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.4877656102180481},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.4801059067249298},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.38834095001220703},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.15296363830566406},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.06269857287406921},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"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/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/080744165","is_oa":false,"landing_page_url":"https://doi.org/10.1137/080744165","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":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W54586521","https://openalex.org/W161505713","https://openalex.org/W185935341","https://openalex.org/W230592018","https://openalex.org/W597277152","https://openalex.org/W1275378961","https://openalex.org/W1505057802","https://openalex.org/W1603574803","https://openalex.org/W1607633954","https://openalex.org/W1972996532","https://openalex.org/W1988672804","https://openalex.org/W2000503171","https://openalex.org/W2007961577","https://openalex.org/W2014172170","https://openalex.org/W2032268770","https://openalex.org/W2036788218","https://openalex.org/W2047017331","https://openalex.org/W2063818274","https://openalex.org/W2070562218","https://openalex.org/W2074412622","https://openalex.org/W2079871064","https://openalex.org/W2081827062","https://openalex.org/W2082256594","https://openalex.org/W2095176577","https://openalex.org/W2107207500","https://openalex.org/W2119033269","https://openalex.org/W2127930389","https://openalex.org/W2128767191","https://openalex.org/W2144481813","https://openalex.org/W2467963231","https://openalex.org/W2498346972","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2125978723","https://openalex.org/W2119652053","https://openalex.org/W2136480082","https://openalex.org/W2387835543","https://openalex.org/W3134538922","https://openalex.org/W1795534609","https://openalex.org/W2013481824","https://openalex.org/W2126773286","https://openalex.org/W2915262910","https://openalex.org/W2361876710"],"abstract_inverted_index":{"Some":[0],"new":[1],"Lyapunov-type":[2],"theorems":[3,18],"for":[4,32],"stochastic":[5],"differential":[6],"equations":[7],"of":[8,22,28,35],"neutral":[9],"type":[10],"are":[11],"proved.":[12],"It":[13],"is":[14],"shown":[15],"that":[16],"these":[17],"simplify":[19],"an":[20],"application":[21],"Kolmanovskii":[23],"and":[24],"Shaikhet's":[25],"general":[26],"method":[27],"Lyapunov":[29],"functionals":[30],"construction":[31],"stability":[33],"investigation":[34],"different":[36],"mathematical":[37],"models.":[38]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2018,"cited_by_count":5},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2026-08-12T21:12:35.861297","created_date":"2025-10-10T00:00:00"}
