{"id":"https://openalex.org/W2912324827","doi":"https://doi.org/10.1007/s10957-019-01478-y","title":"Necessary First-Order and Second-Order Optimality Conditions in Discrete-Time Stochastic Systems","display_name":"Necessary First-Order and Second-Order Optimality Conditions in Discrete-Time Stochastic Systems","publication_year":2019,"publication_date":"2019-02-14","ids":{"openalex":"https://openalex.org/W2912324827","doi":"https://doi.org/10.1007/s10957-019-01478-y","mag":"2912324827"},"language":"en","primary_location":{"id":"doi:10.1007/s10957-019-01478-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10957-019-01478-y","pdf_url":null,"source":{"id":"https://openalex.org/S52430896","display_name":"Journal of Optimization Theory and Applications","issn_l":"0022-3239","issn":["0022-3239","1573-2878"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Optimization Theory and Applications","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":["Department of Mathematics, Eastern Mediterranean University, Gazimagusa, T. R. North Cyprus, Mersin 10, Turkey"],"raw_orcid":"https://orcid.org/0000-0003-3943-1732","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Eastern Mediterranean University, Gazimagusa, T. R. North Cyprus, Mersin 10, Turkey","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":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.578,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.74605169,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"182","issue":"3","first_page":"1001","last_page":"1018"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10711","display_name":"Target Tracking and Data Fusion in Sensor Networks","score":0.9714000225067139,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10711","display_name":"Target Tracking and Data Fusion in Sensor Networks","score":0.9714000225067139,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9700999855995178,"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"}},{"id":"https://openalex.org/T11413","display_name":"Risk and Portfolio Optimization","score":0.9509999752044678,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/discrete-time-stochastic-process","display_name":"Discrete-time stochastic process","score":0.8445901870727539},{"id":"https://openalex.org/keywords/discrete-time-and-continuous-time","display_name":"Discrete time and continuous time","score":0.8033820390701294},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.798409104347229},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.6234666705131531},{"id":"https://openalex.org/keywords/continuous-time-stochastic-process","display_name":"Continuous-time stochastic process","score":0.6103513836860657},{"id":"https://openalex.org/keywords/stochastic-control","display_name":"Stochastic control","score":0.5826693773269653},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5391057133674622},{"id":"https://openalex.org/keywords/discrete-modelling","display_name":"Discrete modelling","score":0.5279361605644226},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.47010037302970886},{"id":"https://openalex.org/keywords/stochastic-differential-equation","display_name":"Stochastic differential equation","score":0.4698295295238495},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.45756110548973083},{"id":"https://openalex.org/keywords/discrete-system","display_name":"Discrete system","score":0.4467141628265381},{"id":"https://openalex.org/keywords/stochastic-optimization","display_name":"Stochastic optimization","score":0.43767234683036804},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.4108853340148926},{"id":"https://openalex.org/keywords/stochastic-modelling","display_name":"Stochastic modelling","score":0.4102340340614319},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3713133931159973},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.08093082904815674}],"concepts":[{"id":"https://openalex.org/C92703954","wikidata":"https://www.wikidata.org/wiki/Q176737","display_name":"Discrete-time stochastic process","level":4,"score":0.8445901870727539},{"id":"https://openalex.org/C55689738","wikidata":"https://www.wikidata.org/wiki/Q15963867","display_name":"Discrete time and continuous time","level":2,"score":0.8033820390701294},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.798409104347229},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.6234666705131531},{"id":"https://openalex.org/C158535547","wikidata":"https://www.wikidata.org/wiki/Q5165437","display_name":"Continuous-time stochastic process","level":3,"score":0.6103513836860657},{"id":"https://openalex.org/C170131372","wikidata":"https://www.wikidata.org/wiki/Q7617811","display_name":"Stochastic control","level":3,"score":0.5826693773269653},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5391057133674622},{"id":"https://openalex.org/C81146285","wikidata":"https://www.wikidata.org/wiki/Q5282053","display_name":"Discrete modelling","level":3,"score":0.5279361605644226},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.47010037302970886},{"id":"https://openalex.org/C51955184","wikidata":"https://www.wikidata.org/wiki/Q1545585","display_name":"Stochastic differential equation","level":2,"score":0.4698295295238495},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.45756110548973083},{"id":"https://openalex.org/C96314035","wikidata":"https://www.wikidata.org/wiki/Q5282062","display_name":"Discrete system","level":2,"score":0.4467141628265381},{"id":"https://openalex.org/C194387892","wikidata":"https://www.wikidata.org/wiki/Q1747770","display_name":"Stochastic optimization","level":2,"score":0.43767234683036804},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.4108853340148926},{"id":"https://openalex.org/C127491075","wikidata":"https://www.wikidata.org/wiki/Q7617825","display_name":"Stochastic modelling","level":2,"score":0.4102340340614319},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3713133931159973},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.08093082904815674},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10957-019-01478-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10957-019-01478-y","pdf_url":null,"source":{"id":"https://openalex.org/S52430896","display_name":"Journal of Optimization Theory and Applications","issn_l":"0022-3239","issn":["0022-3239","1573-2878"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Optimization Theory and Applications","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:spr:joptap:v:182:y:2019:i:3:d:10.1007_s10957-019-01478-y","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s10957-019-01478-y","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W1512863326","https://openalex.org/W1525883337","https://openalex.org/W1588789815","https://openalex.org/W1967223185","https://openalex.org/W1983607094","https://openalex.org/W1991294961","https://openalex.org/W2002129305","https://openalex.org/W2003543464","https://openalex.org/W2021201220","https://openalex.org/W2028671096","https://openalex.org/W2065120053","https://openalex.org/W2082094090","https://openalex.org/W2110955939","https://openalex.org/W2111048679","https://openalex.org/W2116247757","https://openalex.org/W2269917623","https://openalex.org/W2467647287","https://openalex.org/W3158610175","https://openalex.org/W4212780424"],"related_works":["https://openalex.org/W2088055129","https://openalex.org/W2617472381","https://openalex.org/W1993122413","https://openalex.org/W2912324827","https://openalex.org/W2043059497","https://openalex.org/W1996145535","https://openalex.org/W2478297258","https://openalex.org/W1568739572","https://openalex.org/W2117395819","https://openalex.org/W2389061056"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
