{"id":"https://openalex.org/W2735201900","doi":"https://doi.org/10.1007/978-3-319-62407-5_54","title":"The D\u2019Alembert Type Solution of the Cauchy Problem for the Homogeneous with Respect to Fourth Order Derivatives for Hyperbolic Equation","display_name":"The D\u2019Alembert Type Solution of the Cauchy Problem for the Homogeneous with Respect to Fourth Order Derivatives for Hyperbolic Equation","publication_year":2017,"publication_date":"2017-01-01","ids":{"openalex":"https://openalex.org/W2735201900","doi":"https://doi.org/10.1007/978-3-319-62407-5_54","mag":"2735201900"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-319-62407-5_54","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-62407-5_54","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","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/A5076969692","display_name":"Mahir Rasulov","orcid":"https://orcid.org/0000-0002-8393-2019"},"institutions":[{"id":"https://openalex.org/I8666313","display_name":"Beykent University","ror":"https://ror.org/03dcvf827","country_code":"TR","type":"education","lineage":["https://openalex.org/I8666313"]},{"id":"https://openalex.org/I4387153443","display_name":"\u0130stanbul Esenyurt \u00dcniversitesi","ror":"https://ror.org/03q8sby79","country_code":null,"type":"education","lineage":["https://openalex.org/I4387153443"]}],"countries":["TR"],"is_corresponding":false,"raw_author_name":"Mahir Rasulov","raw_affiliation_strings":["Department of Mathematics and Computing, Beykent University, Istanbul, Turkey","Faculty of Engineering and Architecture, Istanbul Esenyurt University, Istanbul, Turkey"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computing, Beykent University, Istanbul, Turkey","institution_ids":["https://openalex.org/I8666313"]},{"raw_affiliation_string":"Faculty of Engineering and Architecture, Istanbul Esenyurt University, Istanbul, Turkey","institution_ids":["https://openalex.org/I4387153443"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5074020115","display_name":"Zafer Aslan","orcid":"https://orcid.org/0000-0001-7707-7370"},"institutions":[{"id":"https://openalex.org/I179948855","display_name":"Istanbul Ayd\u0131n University","ror":"https://ror.org/00qsyw664","country_code":"TR","type":"education","lineage":["https://openalex.org/I179948855"]},{"id":"https://openalex.org/I12323705","display_name":"The Abdus Salam International Centre for Theoretical Physics (ICTP)","ror":"https://ror.org/009gyvm78","country_code":"IT","type":"facility","lineage":["https://openalex.org/I12323705","https://openalex.org/I1286959531","https://openalex.org/I1293226324","https://openalex.org/I2801247003"]}],"countries":["IT","TR"],"is_corresponding":true,"raw_author_name":"Zafer Aslan","raw_affiliation_strings":["Faculty of Engineering, Department of Computer Engineering, Istanbul Ayd\u0131n University, Istanbul, Turkey","International Centre for Theoretical Physics (ICTP), Trieste, Italy"],"affiliations":[{"raw_affiliation_string":"Faculty of Engineering, Department of Computer Engineering, Istanbul Ayd\u0131n University, Istanbul, Turkey","institution_ids":["https://openalex.org/I179948855"]},{"raw_affiliation_string":"International Centre for Theoretical Physics (ICTP), Trieste, Italy","institution_ids":["https://openalex.org/I12323705"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5070227688","display_name":"Bahaddin Si\u0307nsoysal","orcid":"https://orcid.org/0000-0003-2926-2744"},"institutions":[{"id":"https://openalex.org/I8666313","display_name":"Beykent University","ror":"https://ror.org/03dcvf827","country_code":"TR","type":"education","lineage":["https://openalex.org/I8666313"]}],"countries":["TR"],"is_corresponding":false,"raw_author_name":"Bahaddin Sinsoysal","raw_affiliation_strings":["Department of Management Information Systems, Beykent University, Istanbul, Turkey"],"affiliations":[{"raw_affiliation_string":"Department of Management Information Systems, Beykent University, Istanbul, Turkey","institution_ids":["https://openalex.org/I8666313"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5079156736","display_name":"Hakan Bal","orcid":null},"institutions":[{"id":"https://openalex.org/I8666313","display_name":"Beykent University","ror":"https://ror.org/03dcvf827","country_code":"TR","type":"education","lineage":["https://openalex.org/I8666313"]}],"countries":["TR"],"is_corresponding":false,"raw_author_name":"Hakan Bal","raw_affiliation_strings":["Faculty of Administrative Sciences, Beykent University, Istanbul, Turkey"],"affiliations":[{"raw_affiliation_string":"Faculty of Administrative Sciences, Beykent University, Istanbul, Turkey","institution_ids":["https://openalex.org/I8666313"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5074020115"],"corresponding_institution_ids":["https://openalex.org/I12323705","https://openalex.org/I179948855"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":1.0785,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.77295025,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"726","last_page":"734"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12589","display_name":"Differential Equations and Boundary Problems","score":0.9998000264167786,"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":0.9998000264167786,"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/T13234","display_name":"advanced mathematical theories","score":0.9972000122070312,"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/T12037","display_name":"Algebraic and Geometric Analysis","score":0.9958000183105469,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/uniqueness","display_name":"Uniqueness","score":0.7526189088821411},{"id":"https://openalex.org/keywords/homogeneous","display_name":"Homogeneous","score":0.6107648015022278},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.6052653193473816},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.6048628687858582},{"id":"https://openalex.org/keywords/cauchy-problem","display_name":"Cauchy problem","score":0.5353332757949829},{"id":"https://openalex.org/keywords/hyperbolic-partial-differential-equation","display_name":"Hyperbolic partial differential equation","score":0.5211520195007324},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5068178772926331},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.45405417680740356},{"id":"https://openalex.org/keywords/initial-value-problem","display_name":"Initial value problem","score":0.40688133239746094},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3842494785785675},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3839493989944458},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.3291271924972534},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.32654720544815063},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.2928263545036316}],"concepts":[{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.7526189088821411},{"id":"https://openalex.org/C66882249","wikidata":"https://www.wikidata.org/wiki/Q169336","display_name":"Homogeneous","level":2,"score":0.6107648015022278},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.6052653193473816},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.6048628687858582},{"id":"https://openalex.org/C153635880","wikidata":"https://www.wikidata.org/wiki/Q1412436","display_name":"Cauchy problem","level":3,"score":0.5353332757949829},{"id":"https://openalex.org/C111615704","wikidata":"https://www.wikidata.org/wiki/Q2627459","display_name":"Hyperbolic partial differential equation","level":3,"score":0.5211520195007324},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5068178772926331},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.45405417680740356},{"id":"https://openalex.org/C26955809","wikidata":"https://www.wikidata.org/wiki/Q10167591","display_name":"Initial value problem","level":2,"score":0.40688133239746094},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3842494785785675},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3839493989944458},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.3291271924972534},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.32654720544815063},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.2928263545036316},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-319-62407-5_54","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-62407-5_54","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W607200110","https://openalex.org/W614120032","https://openalex.org/W655992515","https://openalex.org/W1548792320","https://openalex.org/W1602737852","https://openalex.org/W1974920483","https://openalex.org/W2010421614","https://openalex.org/W2040742917","https://openalex.org/W2084374862","https://openalex.org/W2487604536","https://openalex.org/W2493534335","https://openalex.org/W3141027763","https://openalex.org/W3142078155","https://openalex.org/W3147268080"],"related_works":["https://openalex.org/W2050111419","https://openalex.org/W2898988421","https://openalex.org/W2045532529","https://openalex.org/W2078366360","https://openalex.org/W2400581667","https://openalex.org/W2912864030","https://openalex.org/W2049761058","https://openalex.org/W2071645158","https://openalex.org/W4213342640","https://openalex.org/W2075381729"],"abstract_inverted_index":null,"counts_by_year":[{"year":2017,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}