{"id":"https://openalex.org/W2102191946","doi":"https://doi.org/10.1155/2012/672947","title":"Optimality Conditions for Infinite Order Distributed Parabolic Systems with Multiple Time Delays Given in Integral Form","display_name":"Optimality Conditions for Infinite Order Distributed Parabolic Systems with Multiple Time Delays Given in Integral Form","publication_year":2012,"publication_date":"2012-01-01","ids":{"openalex":"https://openalex.org/W2102191946","doi":"https://doi.org/10.1155/2012/672947","mag":"2102191946"},"language":"en","primary_location":{"id":"doi:10.1155/2012/672947","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2012/672947","pdf_url":"https://downloads.hindawi.com/journals/jam/2012/672947.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://downloads.hindawi.com/journals/jam/2012/672947.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5055557216","display_name":"G. M. Bahaa","orcid":"https://orcid.org/0000-0001-6670-3110"},"institutions":[{"id":"https://openalex.org/I113643904","display_name":"Beni-Suef University","ror":"https://ror.org/05pn4yv70","country_code":"EG","type":"education","lineage":["https://openalex.org/I113643904"]},{"id":"https://openalex.org/I23075662","display_name":"Taibah University","ror":"https://ror.org/01xv1nn60","country_code":"SA","type":"education","lineage":["https://openalex.org/I23075662"]}],"countries":["EG","SA"],"is_corresponding":true,"raw_author_name":"Bahaa G. M.","raw_affiliation_strings":["Department of Mathematics, Faculty of Science, Beni-Suef University, Beni-Suef","Department of Mathematics, Faculty of Science, Taibah University, Al-Madinah Al-Munawwarah"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, Beni-Suef University, Beni-Suef","institution_ids":["https://openalex.org/I113643904"]},{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, Taibah University, Al-Madinah Al-Munawwarah","institution_ids":["https://openalex.org/I23075662"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5055557216"],"corresponding_institution_ids":["https://openalex.org/I113643904","https://openalex.org/I23075662"],"apc_list":{"value":1025,"currency":"USD","value_usd":1025},"apc_paid":{"value":1025,"currency":"USD","value_usd":1025},"fwci":2.0592,"has_fulltext":true,"cited_by_count":10,"citation_normalized_percentile":{"value":0.86589027,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"2012","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13862","display_name":"Soil, Finite Element Methods","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"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/T13862","display_name":"Soil, Finite Element Methods","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9955999851226807,"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.989799976348877,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6560729742050171},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.6375523805618286},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4919857680797577},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.35954707860946655},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3249770402908325}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6560729742050171},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.6375523805618286},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4919857680797577},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.35954707860946655},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3249770402908325},{"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}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1155/2012/672947","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2012/672947","pdf_url":"https://downloads.hindawi.com/journals/jam/2012/672947.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:CULeuclid:euclid.jam/1357178269","is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.jam/1357178269","pdf_url":null,"source":{"id":"https://openalex.org/S4306400787","display_name":"Project Euclid (Cornell University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},{"id":"pmh:oai:RePEc:hin:jnljam:672947","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/JAM/2012/672947.xml","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"},{"id":"pmh:oai:doaj.org/article:dbefa9a676944fc698219f7250f5860d","is_oa":true,"landing_page_url":"https://doaj.org/article/dbefa9a676944fc698219f7250f5860d","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Applied Mathematics, Vol 2012 (2012)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2012/672947","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2012/672947","pdf_url":"https://downloads.hindawi.com/journals/jam/2012/672947.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321161","display_name":"Taibah University","ror":"https://ror.org/01xv1nn60"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2102191946.pdf","grobid_xml":"https://content.openalex.org/works/W2102191946.grobid-xml"},"referenced_works_count":30,"referenced_works":["https://openalex.org/W1525290779","https://openalex.org/W1597209545","https://openalex.org/W1922505179","https://openalex.org/W1970034904","https://openalex.org/W1972697884","https://openalex.org/W1976199520","https://openalex.org/W1978500452","https://openalex.org/W2020373255","https://openalex.org/W2022977680","https://openalex.org/W2042368389","https://openalex.org/W2044458068","https://openalex.org/W2050179884","https://openalex.org/W2061668470","https://openalex.org/W2065016274","https://openalex.org/W2074983493","https://openalex.org/W2075586737","https://openalex.org/W2075669370","https://openalex.org/W2076754687","https://openalex.org/W2076773606","https://openalex.org/W2077092351","https://openalex.org/W2079241451","https://openalex.org/W2084425048","https://openalex.org/W2085910302","https://openalex.org/W2107598499","https://openalex.org/W2108006261","https://openalex.org/W2136898669","https://openalex.org/W2171840106","https://openalex.org/W2749032718","https://openalex.org/W4239717716","https://openalex.org/W4298228534"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027","https://openalex.org/W2962838298","https://openalex.org/W2600246793"],"abstract_inverted_index":{"The":[0],"optimal":[1],"boundary":[2,34],"control":[3],"problem":[4,51],"for":[5,48],"(":[6],"n":[7,9],"\u00d7":[8],")":[10],"infinite":[11],"order":[12],"distributed":[13],"parabolic":[14],"systems":[15],"with":[16,52],"multiple":[17],"time":[18],"delays":[19],"given":[20],"in":[21,26,31],"the":[22,27,32,49,53],"integral":[23],"form":[24],"both":[25],"state":[28],"equations":[29],"and":[30,44],"Neumann":[33,50],"conditions":[35,47],"is":[36],"considered.":[37],"Constraints":[38],"on":[39],"controls":[40],"are":[41,57],"imposed.":[42],"Necessary":[43],"suffacient":[45],"optimality":[46],"quadratic":[54],"performance":[55],"functional":[56],"derived.":[58]},"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":3},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":2}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2016-06-24T00:00:00"}