{"id":"https://openalex.org/W2008618331","doi":"https://doi.org/10.1137/120882809","title":"A Maximum Principle for Infinite Horizon Delay Equations","display_name":"A Maximum Principle for Infinite Horizon Delay Equations","publication_year":2013,"publication_date":"2013-01-01","ids":{"openalex":"https://openalex.org/W2008618331","doi":"https://doi.org/10.1137/120882809","mag":"2008618331"},"language":"en","primary_location":{"id":"doi:10.1137/120882809","is_oa":false,"landing_page_url":"https://doi.org/10.1137/120882809","pdf_url":null,"source":{"id":"https://openalex.org/S74141806","display_name":"SIAM Journal on Mathematical Analysis","issn_l":"0036-1410","issn":["0036-1410","1095-7154"],"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 Mathematical Analysis","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://urn.nb.no/URN:NBN:no-31292","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5083592351","display_name":"Nacira Agram","orcid":"https://orcid.org/0000-0003-1662-0215"},"institutions":[{"id":"https://openalex.org/I206961696","display_name":"University of Biskra","ror":"https://ror.org/05fr5y859","country_code":"DZ","type":"education","lineage":["https://openalex.org/I206961696"]}],"countries":["DZ"],"is_corresponding":true,"raw_author_name":"N. Agram","raw_affiliation_strings":["Laboratory of Applied Mathematics, University Med Khider, Biskra 07000, Algeria"],"affiliations":[{"raw_affiliation_string":"Laboratory of Applied Mathematics, University Med Khider, Biskra 07000, Algeria","institution_ids":["https://openalex.org/I206961696"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5073203477","display_name":"Sven Haadem","orcid":null},"institutions":[{"id":"https://openalex.org/I184942183","display_name":"University of Oslo","ror":"https://ror.org/01xtthb56","country_code":"NO","type":"education","lineage":["https://openalex.org/I184942183"]}],"countries":["NO"],"is_corresponding":false,"raw_author_name":"S. Haadem","raw_affiliation_strings":["Center of Mathematics for Applications (CMA), University of Oslo, Blindern, N-0316 Oslo, Norway"],"affiliations":[{"raw_affiliation_string":"Center of Mathematics for Applications (CMA), University of Oslo, Blindern, N-0316 Oslo, Norway","institution_ids":["https://openalex.org/I184942183"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5078265147","display_name":"Bernt \u00d8ksendal","orcid":"https://orcid.org/0000-0002-5168-142X"},"institutions":[{"id":"https://openalex.org/I184942183","display_name":"University of Oslo","ror":"https://ror.org/01xtthb56","country_code":"NO","type":"education","lineage":["https://openalex.org/I184942183"]}],"countries":["NO"],"is_corresponding":false,"raw_author_name":"B. \u00d8ksendal","raw_affiliation_strings":["Center of Mathematics for Applications (CMA), University of Oslo, Blindern, N-0316 Oslo, Norway"],"affiliations":[{"raw_affiliation_string":"Center of Mathematics for Applications (CMA), University of Oslo, Blindern, N-0316 Oslo, Norway","institution_ids":["https://openalex.org/I184942183"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5079213730","display_name":"Frank Proske","orcid":"https://orcid.org/0000-0002-0463-0726"},"institutions":[{"id":"https://openalex.org/I184942183","display_name":"University of Oslo","ror":"https://ror.org/01xtthb56","country_code":"NO","type":"education","lineage":["https://openalex.org/I184942183"]}],"countries":["NO"],"is_corresponding":false,"raw_author_name":"F. Proske","raw_affiliation_strings":["Center of Mathematics for Applications (CMA), University of Oslo, Blindern, N-0316 Oslo, Norway"],"affiliations":[{"raw_affiliation_string":"Center of Mathematics for Applications (CMA), University of Oslo, Blindern, N-0316 Oslo, Norway","institution_ids":["https://openalex.org/I184942183"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5083592351"],"corresponding_institution_ids":["https://openalex.org/I206961696"],"apc_list":null,"apc_paid":null,"fwci":3.7508,"has_fulltext":false,"cited_by_count":60,"citation_normalized_percentile":{"value":0.93256715,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"45","issue":"4","first_page":"2499","last_page":"2522"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10067","display_name":"Stochastic processes and financial applications","score":0.9988999962806702,"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"}},"topics":[{"id":"https://openalex.org/T10067","display_name":"Stochastic processes and financial applications","score":0.9988999962806702,"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/T12137","display_name":"Economic theories and models","score":0.9937000274658203,"subfield":{"id":"https://openalex.org/subfields/2002","display_name":"Economics and Econometrics"},"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/T11413","display_name":"Risk and Portfolio Optimization","score":0.9336000084877014,"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/mathematics","display_name":"Mathematics","score":0.8580082058906555},{"id":"https://openalex.org/keywords/maximum-principle","display_name":"Maximum principle","score":0.7551462650299072},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.5583540201187134},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4299771785736084},{"id":"https://openalex.org/keywords/stochastic-control","display_name":"Stochastic control","score":0.41169998049736023},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.36864185333251953},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3464624881744385}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8580082058906555},{"id":"https://openalex.org/C31010330","wikidata":"https://www.wikidata.org/wiki/Q1914255","display_name":"Maximum principle","level":3,"score":0.7551462650299072},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.5583540201187134},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4299771785736084},{"id":"https://openalex.org/C170131372","wikidata":"https://www.wikidata.org/wiki/Q7617811","display_name":"Stochastic control","level":3,"score":0.41169998049736023},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.36864185333251953},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3464624881744385}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1137/120882809","is_oa":false,"landing_page_url":"https://doi.org/10.1137/120882809","pdf_url":null,"source":{"id":"https://openalex.org/S74141806","display_name":"SIAM Journal on Mathematical Analysis","issn_l":"0036-1410","issn":["0036-1410","1095-7154"],"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 Mathematical Analysis","raw_type":"journal-article"},{"id":"pmh:oai:www.duo.uio.no:10852/10435","is_oa":true,"landing_page_url":"http://urn.nb.no/URN:NBN:no-31292","pdf_url":null,"source":{"id":"https://openalex.org/S4306401717","display_name":"Duo Research Archive (University of Oslo)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I184942183","host_organization_name":"University of Oslo","host_organization_lineage":["https://openalex.org/I184942183"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/report"},{"id":"pmh:oai:www.duo.uio.no:10852/41672","is_oa":true,"landing_page_url":"http://hdl.handle.net/10852/41672","pdf_url":null,"source":{"id":"https://openalex.org/S4306401716","display_name":"Duo Research Archive (University of Oslo)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I184942183","host_organization_name":"University of Oslo","host_organization_lineage":["https://openalex.org/I184942183"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"0036-1410","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:www.duo.uio.no:10852/10435","is_oa":true,"landing_page_url":"http://urn.nb.no/URN:NBN:no-31292","pdf_url":null,"source":{"id":"https://openalex.org/S4306401717","display_name":"Duo Research Archive (University of Oslo)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I184942183","host_organization_name":"University of Oslo","host_organization_lineage":["https://openalex.org/I184942183"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/report"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W707131","https://openalex.org/W43426828","https://openalex.org/W802288687","https://openalex.org/W1493616090","https://openalex.org/W1970805552","https://openalex.org/W1993643789","https://openalex.org/W2038109231","https://openalex.org/W2048677413","https://openalex.org/W2049516241","https://openalex.org/W2060171102","https://openalex.org/W2061866695","https://openalex.org/W2062925593","https://openalex.org/W2076424721","https://openalex.org/W2080232251","https://openalex.org/W2082657448","https://openalex.org/W2127510984","https://openalex.org/W2153624441","https://openalex.org/W2168600615","https://openalex.org/W3143766639"],"related_works":["https://openalex.org/W2962746246","https://openalex.org/W1967384683","https://openalex.org/W4302321938","https://openalex.org/W162218241","https://openalex.org/W2943897807","https://openalex.org/W278441094","https://openalex.org/W2986334670","https://openalex.org/W1994179457","https://openalex.org/W4366198066","https://openalex.org/W2135400743"],"abstract_inverted_index":{"We":[0,15,32],"prove":[1],"a":[2],"maximum":[3,22],"principle":[4],"of":[5,8],"optimal":[6,41],"control":[7],"stochastic":[9,21],"delay":[10],"equations":[11],"on":[12],"infinite":[13],"horizon.":[14],"establish":[16],"first":[17],"and":[18],"second":[19],"sufficient":[20],"principles":[23],"as":[24,26],"well":[25],"necessary":[27],"conditions":[28],"for":[29],"that":[30],"problem.":[31],"illustrate":[33],"our":[34],"results":[35],"with":[36],"an":[37,45],"application":[38],"to":[39],"the":[40],"consumption":[42],"rate":[43],"from":[44],"economic":[46],"quantity.":[47]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":8},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":6},{"year":2020,"cited_by_count":7},{"year":2019,"cited_by_count":7},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":7},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
