{"id":"https://openalex.org/W3137988959","doi":"https://doi.org/10.17516/1997-1397-2021-14-2-133-145","title":"Solvability of BVPs for the Parabolic-Hyperbolic Equation with Non-linear Loaded Term","display_name":"Solvability of BVPs for the Parabolic-Hyperbolic Equation with Non-linear Loaded Term","publication_year":2021,"publication_date":"2021-02-01","ids":{"openalex":"https://openalex.org/W3137988959","doi":"https://doi.org/10.17516/1997-1397-2021-14-2-133-145","mag":"3137988959"},"language":"en","primary_location":{"id":"doi:10.17516/1997-1397-2021-14-2-133-145","doi":"https://doi.org/10.17516/1997-1397-2021-14-2-133-145","is_oa":true,"landing_page_url":"https://doi.org/10.17516/1997-1397-2021-14-2-133-145","pdf_url":"http://elib.sfu-kras.ru/bitstream/2311/137963/1/Abdullaev%2b.pdf","source":{"id":"https://openalex.org/S2764451435","display_name":"Journal of Siberian Federal University Mathematics & Physics","issn_l":"1997-1397","issn":["1997-1397","2313-6022"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":["dongbi-c","poland-20","russia-white-list-2"],"host_organization":"https://openalex.org/P4360969238","host_organization_name":"Siberian Federal University","host_organization_lineage":["https://openalex.org/P4360969238"],"host_organization_lineage_names":["Siberian Federal University"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Siberian Federal University. Mathematics &amp; Physics","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"http://elib.sfu-kras.ru/bitstream/2311/137963/1/Abdullaev%2b.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5099283746","display_name":"Obidjon Khayrullaevich Abdullaev","orcid":"https://orcid.org/0000-0001-8503-1268","observed_orcids":["https://orcid.org/0000-0001-8503-1268"]},"institutions":[{"id":"https://openalex.org/I1313323035","display_name":"Russian Academy of Sciences","ror":"https://ror.org/05qrfxd25","country_code":"RU","type":"government","lineage":["https://openalex.org/I1313323035"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"Obidjon Kh. Abdullaev","raw_affiliation_strings":["Romanovsky Institute of Mathematics"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Romanovsky Institute of Mathematics","institution_ids":["https://openalex.org/I1313323035"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5099283746"],"corresponding_institution_ids":["https://openalex.org/I1313323035"],"apc_list":null,"apc_paid":null,"fwci":1.0446,"has_fulltext":true,"cited_by_count":5,"citation_normalized_percentile":{"value":0.69526615,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"133","last_page":"145"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12589","display_name":"Differential Equations and Boundary Problems","score":0.9951000213623047,"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":0.9951000213623047,"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/T10541","display_name":"Nonlinear Differential Equations Analysis","score":0.004100000020116568,"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/T10288","display_name":"Fractional Differential Equations Solutions","score":0.00019999999494757503,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"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/hyperbolic-parabolic-equations","display_name":"parabolic-hyperbolic equation","score":0.9100000262260437},{"id":"https://openalex.org/keywords/boundary-value-problems","display_name":"boundary value problems","score":0.8920000195503235},{"id":"https://openalex.org/keywords/nonlocal-boundary-conditions","display_name":"nonlocal boundary conditions","score":0.8230000138282776},{"id":"https://openalex.org/keywords/integral-boundary-conditions","display_name":"integral boundary conditions","score":0.9240000247955322},{"id":"https://openalex.org/keywords/caputo-fractional-derivative","display_name":"Caputo fractional derivative","score":0.8080000281333923},{"id":"https://openalex.org/keywords/existence-and-uniqueness-of-solutions","display_name":"existence and uniqueness of solutions","score":0.8960000276565552},{"id":"https://openalex.org/keywords/integral-equations","display_name":"integral equations","score":0.8889999985694885}],"concepts":[{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.8543716669082642},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8171095848083496},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.6698975563049316},{"id":"https://openalex.org/C61797465","wikidata":"https://www.wikidata.org/wiki/Q1188986","display_name":"Term (time)","level":2,"score":0.5630840063095093},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.5342575311660767},{"id":"https://openalex.org/C111615704","wikidata":"https://www.wikidata.org/wiki/Q2627459","display_name":"Hyperbolic partial differential equation","level":3,"score":0.5036024451255798},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.4406549632549286},{"id":"https://openalex.org/C27016315","wikidata":"https://www.wikidata.org/wiki/Q580101","display_name":"Integral equation","level":2,"score":0.4278586506843567},{"id":"https://openalex.org/C186867907","wikidata":"https://www.wikidata.org/wiki/Q1575416","display_name":"Parabolic partial differential equation","level":3,"score":0.412283331155777},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.4084984362125397},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3210844397544861},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.05825704336166382},{"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":2,"locations":[{"id":"doi:10.17516/1997-1397-2021-14-2-133-145","doi":"https://doi.org/10.17516/1997-1397-2021-14-2-133-145","is_oa":true,"landing_page_url":"https://doi.org/10.17516/1997-1397-2021-14-2-133-145","pdf_url":"http://elib.sfu-kras.ru/bitstream/2311/137963/1/Abdullaev%2b.pdf","source":{"id":"https://openalex.org/S2764451435","display_name":"Journal of Siberian Federal University Mathematics & Physics","issn_l":"1997-1397","issn":["1997-1397","2313-6022"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":["dongbi-c","poland-20","russia-white-list-2"],"host_organization":"https://openalex.org/P4360969238","host_organization_name":"Siberian Federal University","host_organization_lineage":["https://openalex.org/P4360969238"],"host_organization_lineage_names":["Siberian Federal University"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Siberian Federal University. Mathematics &amp; Physics","raw_type":"journal-article"},{"id":"pmh:oai:elib.sfu-kras.ru:2311/137963","doi":null,"is_oa":false,"landing_page_url":"http://elib.sfu-kras.ru/handle/2311/137963","pdf_url":null,"source":{"id":"https://openalex.org/S4306400727","display_name":"SibFU Digital Repository (Siberian Federal University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I4853710","host_organization_name":"Siberian Federal University","host_organization_lineage":["https://openalex.org/I4853710"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Journal Article"}],"best_oa_location":{"id":"doi:10.17516/1997-1397-2021-14-2-133-145","doi":"https://doi.org/10.17516/1997-1397-2021-14-2-133-145","is_oa":true,"landing_page_url":"https://doi.org/10.17516/1997-1397-2021-14-2-133-145","pdf_url":"http://elib.sfu-kras.ru/bitstream/2311/137963/1/Abdullaev%2b.pdf","source":{"id":"https://openalex.org/S2764451435","display_name":"Journal of Siberian Federal University Mathematics & Physics","issn_l":"1997-1397","issn":["1997-1397","2313-6022"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":["dongbi-c","poland-20","russia-white-list-2"],"host_organization":"https://openalex.org/P4360969238","host_organization_name":"Siberian Federal University","host_organization_lineage":["https://openalex.org/P4360969238"],"host_organization_lineage_names":["Siberian Federal University"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Siberian Federal University. Mathematics &amp; Physics","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3137988959.pdf","grobid_xml":"https://content.openalex.org/works/W3137988959.grobid-xml"},"referenced_works_count":11,"referenced_works":["https://openalex.org/W1584611818","https://openalex.org/W2018101094","https://openalex.org/W2184315717","https://openalex.org/W2240217282","https://openalex.org/W2347039194","https://openalex.org/W2349909485","https://openalex.org/W2523549483","https://openalex.org/W2612924623","https://openalex.org/W2991338770","https://openalex.org/W3080490792","https://openalex.org/W4249118365"],"related_works":["https://openalex.org/W3166678058","https://openalex.org/W2997659886","https://openalex.org/W4226407024","https://openalex.org/W4394812796","https://openalex.org/W6944357732","https://openalex.org/W2549548308","https://openalex.org/W3080490792","https://openalex.org/W1981379240","https://openalex.org/W4415749282","https://openalex.org/W2349909485"],"abstract_inverted_index":{"This":[0],"work":[1],"is":[2],"devoted":[3],"to":[4],"prove":[5],"the":[6,18,25,33,38,51],"existence":[7],"and":[8,20],"uniqueness":[9,39],"of":[10,12,35,40,46,53],"solution":[11,41,47],"BVP":[13],"with":[14],"non-local":[15],"assumptions":[16],"on":[17],"boundary":[19],"integral":[21,36,54],"gluing":[22],"conditions":[23],"for":[24],"parabolic-hyperbolic":[26],"type":[27],"equation":[28],"involving":[29],"Caputo":[30],"derivatives.":[31],"Using":[32],"method":[34,52],"energy,":[37],"have":[42],"been":[43],"proved.":[44],"Existence":[45],"was":[48],"proved":[49],"by":[50],"equations":[55]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":4}],"updated_date":"2026-11-13T13:42:25.865203","created_date":"2021-03-29T00:00:00"}
