{"id":"https://openalex.org/W4289711684","doi":"https://doi.org/10.1002/mma.8605","title":"Recovery of the unknown coefficients in a two\u2010dimensional hyperbolic equation","display_name":"Recovery of the unknown coefficients in a two\u2010dimensional hyperbolic equation","publication_year":2022,"publication_date":"2022-08-03","ids":{"openalex":"https://openalex.org/W4289711684","doi":"https://doi.org/10.1002/mma.8605"},"language":"en","primary_location":{"id":"doi:10.1002/mma.8605","doi":"https://doi.org/10.1002/mma.8605","is_oa":false,"landing_page_url":"https://doi.org/10.1002/mma.8605","pdf_url":null,"source":{"id":"https://openalex.org/S89452420","display_name":"Mathematical Methods in the Applied Sciences","issn_l":"0170-4214","issn":["0170-4214","1099-1476"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-d","jufo-1","poland-100","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Methods in the Applied Sciences","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"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/A5017098350","display_name":"Yashar T. Mehraliyev","orcid":"https://orcid.org/0000-0002-2054-3219","observed_orcids":["https://orcid.org/0000-0002-2054-3219"]},"institutions":[{"id":"https://openalex.org/I194342707","display_name":"Baku State University","ror":"https://ror.org/054gw3b40","country_code":"AZ","type":"education","lineage":["https://openalex.org/I194342707"]}],"countries":["AZ"],"is_corresponding":false,"raw_author_name":"Yashar T. Mehraliyev","raw_affiliation_strings":["Department of Differential and Integral Equations Baku State University Baku Azerbaijan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Differential and Integral Equations Baku State University Baku Azerbaijan","institution_ids":["https://openalex.org/I194342707"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101478755","display_name":"He Yang","orcid":"https://orcid.org/0000-0001-9608-4920","observed_orcids":["https://orcid.org/0000-0001-9608-4920"]},"institutions":[{"id":"https://openalex.org/I25041050","display_name":"Augusta University","ror":"https://ror.org/012mef835","country_code":"US","type":"education","lineage":["https://openalex.org/I25041050"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"He Yang","raw_affiliation_strings":["Department of Mathematics Augusta University Augusta USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics Augusta University Augusta USA","institution_ids":["https://openalex.org/I25041050"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5055720837","display_name":"Elvin Ibrahim Azizbayov","orcid":"https://orcid.org/0000-0002-1164-953X","observed_orcids":["https://orcid.org/0000-0002-1164-953X"]},"institutions":[{"id":"https://openalex.org/I194342707","display_name":"Baku State University","ror":"https://ror.org/054gw3b40","country_code":"AZ","type":"education","lineage":["https://openalex.org/I194342707"]},{"id":"https://openalex.org/I4210160053","display_name":"Academy of Public Administration","ror":"https://ror.org/054fdbt51","country_code":"AZ","type":"education","lineage":["https://openalex.org/I4210160053"]}],"countries":["AZ"],"is_corresponding":true,"raw_author_name":"Elvin I. Azizbayov","raw_affiliation_strings":["Department of Control for Intelligent Systems Academy of Public Administration under the President of the Republic of Azerbaijan Baku Azerbaijan","Department of Differential and Integral Equations Baku State University Baku Azerbaijan"],"raw_orcid":"https://orcid.org/0000-0002-1164-953X","affiliations":[{"raw_affiliation_string":"Department of Control for Intelligent Systems Academy of Public Administration under the President of the Republic of Azerbaijan Baku Azerbaijan","institution_ids":["https://openalex.org/I4210160053"]},{"raw_affiliation_string":"Department of Differential and Integral Equations Baku State University Baku Azerbaijan","institution_ids":["https://openalex.org/I194342707"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5055720837"],"corresponding_institution_ids":["https://openalex.org/I194342707","https://openalex.org/I4210160053"],"apc_list":{"value":4400,"currency":"USD","value_usd":4400},"apc_paid":null,"fwci":0.408,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.43384987,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":93},"biblio":{"volume":"46","issue":"2","first_page":"1723","last_page":"1739"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12589","display_name":"Differential Equations and Boundary Problems","score":0.7832000255584717,"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/T12589","display_name":"Differential Equations and Boundary Problems","score":0.7832000255584717,"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/T11205","display_name":"Numerical methods in inverse problems","score":0.21330000460147858,"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"}},{"id":"https://openalex.org/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.00139999995008111,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/inverse-boundary-value-problem","display_name":"inverse boundary value problem","score":0.9869999885559082},{"id":"https://openalex.org/keywords/two-dimensional-hyperbolic-equations","display_name":"two-dimensional hyperbolic equations","score":0.953000009059906},{"id":"https://openalex.org/keywords/overdetermination-conditions","display_name":"overdetermination conditions","score":0.9520000219345093},{"id":"https://openalex.org/keywords/coefficient-recovery","display_name":"coefficient recovery","score":0.5619999766349792},{"id":"https://openalex.org/keywords/integral-equations","display_name":"integral equations","score":0.8159999847412109},{"id":"https://openalex.org/keywords/existence-and-uniqueness-of-solutions","display_name":"existence and uniqueness of solutions","score":0.7590000033378601},{"id":"https://openalex.org/keywords/contraction-mapping-principle","display_name":"contractive mappings","score":0.9629999995231628},{"id":"https://openalex.org/keywords/numerical-solution","display_name":"numerical solution","score":0.6740000247955322}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9295767545700073},{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.7530719041824341},{"id":"https://openalex.org/C135252773","wikidata":"https://www.wikidata.org/wiki/Q1567213","display_name":"Inverse problem","level":2,"score":0.643355131149292},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.5741387605667114},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5403691530227661},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.5151282548904419},{"id":"https://openalex.org/C111615704","wikidata":"https://www.wikidata.org/wiki/Q2627459","display_name":"Hyperbolic partial differential equation","level":3,"score":0.4617469608783722},{"id":"https://openalex.org/C155940","wikidata":"https://www.wikidata.org/wiki/Q7886967","display_name":"Uniqueness theorem for Poisson's equation","level":3,"score":0.45635345578193665},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.4413188695907593},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.42365968227386475},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.2582072615623474},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.17289766669273376},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1002/mma.8605","doi":"https://doi.org/10.1002/mma.8605","is_oa":false,"landing_page_url":"https://doi.org/10.1002/mma.8605","pdf_url":null,"source":{"id":"https://openalex.org/S89452420","display_name":"Mathematical Methods in the Applied Sciences","issn_l":"0170-4214","issn":["0170-4214","1099-1476"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-d","jufo-1","poland-100","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Methods in the Applied Sciences","raw_type":"journal-article"},{"id":"doi:10.22541/au.162837734.48522398/v1","doi":"https://doi.org/10.22541/au.162837734.48522398/v1","is_oa":false,"landing_page_url":"https://doi.org/10.22541/au.162837734.48522398/v1","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"posted-content"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W1730676475","https://openalex.org/W1969730604","https://openalex.org/W1975849741","https://openalex.org/W1977876940","https://openalex.org/W1984312706","https://openalex.org/W2018985530","https://openalex.org/W2027064046","https://openalex.org/W2043832432","https://openalex.org/W2253968231","https://openalex.org/W2303620380","https://openalex.org/W2471490891","https://openalex.org/W2811308240","https://openalex.org/W2928173478","https://openalex.org/W2950313882","https://openalex.org/W3033829052","https://openalex.org/W3036343749","https://openalex.org/W3107819762","https://openalex.org/W3154393888","https://openalex.org/W4390091774"],"related_works":["https://openalex.org/W4205235822","https://openalex.org/W4286890769","https://openalex.org/W4367555720","https://openalex.org/W3154393888","https://openalex.org/W2241538572","https://openalex.org/W7115925967","https://openalex.org/W7172245142","https://openalex.org/W2894456887","https://openalex.org/W2556375120","https://openalex.org/W2060519739"],"abstract_inverted_index":{"In":[0],"this":[1,112],"paper,":[2],"an":[3,29,56],"inverse":[4,31,101,113],"boundary":[5,32],"value":[6,33],"problem":[7,34,42,58,76,102,114],"for":[8,73,94,111],"a":[9,44,60],"two\u2010dimensional":[10],"hyperbolic":[11],"equation":[12],"with":[13],"overdetermination":[14],"conditions":[15],"is":[16,103],"studied.":[17],"To":[18],"investigate":[19],"the":[20,23,40,50,68,74,78,84,89,95,99,108],"solvability":[21],"of":[22,62,86,98],"original":[24,41,100],"problem,":[25],"we":[26,66],"first":[27],"consider":[28],"auxiliary":[30,75],"and":[35,70,91],"prove":[36,67],"its":[37],"equivalence":[38],"to":[39,53,59],"in":[43],"certain":[45],"sense.":[46],"We":[47],"then":[48],"use":[49],"Fourier":[51],"method":[52],"reduce":[54],"such":[55],"equivalent":[57],"system":[61],"integral":[63],"equations.":[64],"Furthermore,":[65],"existence":[69,90],"uniqueness":[71,92],"theorem":[72,93],"by":[77],"contraction":[79],"mappings":[80],"principle.":[81],"Based":[82],"on":[83,107],"equivalency":[85],"these":[87],"problems,":[88],"classical":[96],"solution":[97],"proved.":[104],"Some":[105],"discussions":[106],"numerical":[109,119],"solutions":[110],"are":[115],"presented":[116],"including":[117],"some":[118],"examples.":[120]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1}],"updated_date":"2026-11-12T12:28:57.059296","created_date":"2022-08-04T00:00:00"}