{"id":"https://openalex.org/W2153813547","doi":"https://doi.org/10.1016/s0096-3003(03)00524-1","title":"Controllability of two-point nonlinear boundary-value problems by the numerical-analytic method","display_name":"Controllability of two-point nonlinear boundary-value problems by the numerical-analytic method","publication_year":2003,"publication_date":"2003-06-09","ids":{"openalex":"https://openalex.org/W2153813547","doi":"https://doi.org/10.1016/s0096-3003(03)00524-1","mag":"2153813547"},"language":"en","primary_location":{"id":"doi:10.1016/s0096-3003(03)00524-1","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0096-3003(03)00524-1","pdf_url":null,"source":{"id":"https://openalex.org/S50372074","display_name":"Applied Mathematics and Computation","issn_l":"0096-3003","issn":["0096-3003","1873-5649"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applied Mathematics and Computation","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/A5004206574","display_name":"Marat Akhmet","orcid":"https://orcid.org/0000-0002-2985-286X"},"institutions":[{"id":"https://openalex.org/I201799495","display_name":"Middle East Technical University","ror":"https://ror.org/014weej12","country_code":"TR","type":"education","lineage":["https://openalex.org/I201799495"]}],"countries":["TR"],"is_corresponding":false,"raw_author_name":"M Akhmet","raw_affiliation_strings":["Department of Mathematics, Middle East Technical University, 06531 Ankara, Turkey"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Middle East Technical University, 06531 Ankara, Turkey","institution_ids":["https://openalex.org/I201799495"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5082412861","display_name":"A. Zafer","orcid":"https://orcid.org/0000-0001-8446-1223"},"institutions":[{"id":"https://openalex.org/I201799495","display_name":"Middle East Technical University","ror":"https://ror.org/014weej12","country_code":"TR","type":"education","lineage":["https://openalex.org/I201799495"]}],"countries":["TR"],"is_corresponding":false,"raw_author_name":"A Zafer","raw_affiliation_strings":["Department of Mathematics, Middle East Technical University, 06531 Ankara, Turkey"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Middle East Technical University, 06531 Ankara, Turkey","institution_ids":["https://openalex.org/I201799495"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I201799495"],"apc_list":{"value":3550,"currency":"USD","value_usd":3550},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.22699826,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"151","issue":"3","first_page":"729","last_page":"744"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10541","display_name":"Nonlinear Differential Equations Analysis","score":0.9997000098228455,"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"}},"topics":[{"id":"https://openalex.org/T10541","display_name":"Nonlinear Differential Equations Analysis","score":0.9997000098228455,"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/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9991999864578247,"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/T11416","display_name":"Numerical methods for differential equations","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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":0.7774394750595093},{"id":"https://openalex.org/keywords/controllability","display_name":"Controllability","score":0.716686487197876},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5723439455032349},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.5662987232208252},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.5553334951400757},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5206884145736694},{"id":"https://openalex.org/keywords/value","display_name":"Value (mathematics)","score":0.5194199085235596},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.48606184124946594},{"id":"https://openalex.org/keywords/boundary-values","display_name":"Boundary values","score":0.4558393657207489},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.43561896681785583},{"id":"https://openalex.org/keywords/analytic-element-method","display_name":"Analytic element method","score":0.4128918945789337},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.13401833176612854},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.09994471073150635},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08282703161239624},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.0633973479270935}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7774394750595093},{"id":"https://openalex.org/C48209547","wikidata":"https://www.wikidata.org/wiki/Q1331104","display_name":"Controllability","level":2,"score":0.716686487197876},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5723439455032349},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.5662987232208252},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.5553334951400757},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5206884145736694},{"id":"https://openalex.org/C2776291640","wikidata":"https://www.wikidata.org/wiki/Q2912517","display_name":"Value (mathematics)","level":2,"score":0.5194199085235596},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.48606184124946594},{"id":"https://openalex.org/C2988329120","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary values","level":3,"score":0.4558393657207489},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.43561896681785583},{"id":"https://openalex.org/C192885726","wikidata":"https://www.wikidata.org/wiki/Q4751128","display_name":"Analytic element method","level":3,"score":0.4128918945789337},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.13401833176612854},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.09994471073150635},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08282703161239624},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0633973479270935},{"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/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/s0096-3003(03)00524-1","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0096-3003(03)00524-1","pdf_url":null,"source":{"id":"https://openalex.org/S50372074","display_name":"Applied Mathematics and Computation","issn_l":"0096-3003","issn":["0096-3003","1873-5649"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applied Mathematics and Computation","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Reduced inequalities","score":0.4300000071525574,"id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W566434069","https://openalex.org/W629242013","https://openalex.org/W631581462","https://openalex.org/W1975243497","https://openalex.org/W1981637514","https://openalex.org/W2007773506","https://openalex.org/W2013791001","https://openalex.org/W2014268738","https://openalex.org/W2023479971","https://openalex.org/W2032124828","https://openalex.org/W2035888057","https://openalex.org/W2080005713","https://openalex.org/W2080913205","https://openalex.org/W2105841956","https://openalex.org/W2336839322","https://openalex.org/W2799025687","https://openalex.org/W3141151088","https://openalex.org/W3143329128","https://openalex.org/W4240077529","https://openalex.org/W4300552453","https://openalex.org/W6670570905","https://openalex.org/W6675972189"],"related_works":["https://openalex.org/W2377755389","https://openalex.org/W2158851710","https://openalex.org/W2981595730","https://openalex.org/W2381926872","https://openalex.org/W2121052302","https://openalex.org/W2051772438","https://openalex.org/W2366188801","https://openalex.org/W2029665627","https://openalex.org/W4211096874","https://openalex.org/W1967691293"],"abstract_inverted_index":null,"counts_by_year":[{"year":2016,"cited_by_count":1}],"updated_date":"2026-06-26T08:34:08.712188","created_date":"2025-10-10T00:00:00"}
