{"id":"https://openalex.org/W4411577445","doi":"https://doi.org/10.26577/jmmcs2025126204","title":"ON THE SOLVABILITY OF BOUNDARY VALUE PROBLEMS WITH GENERAL CONDITIONS FOR THE TRIHARMONIC EQUATION IN A BALL","display_name":"ON THE SOLVABILITY OF BOUNDARY VALUE PROBLEMS WITH GENERAL CONDITIONS FOR THE TRIHARMONIC EQUATION IN A BALL","publication_year":2025,"publication_date":"2025-06-22","ids":{"openalex":"https://openalex.org/W4411577445","doi":"https://doi.org/10.26577/jmmcs2025126204"},"language":"en","primary_location":{"id":"doi:10.26577/jmmcs2025126204","doi":"https://doi.org/10.26577/jmmcs2025126204","is_oa":true,"landing_page_url":"https://doi.org/10.26577/jmmcs2025126204","pdf_url":"https://bm.kaznu.kz/index.php/kaznu/article/download/1681/847","source":{"id":"https://openalex.org/S4210208774","display_name":"Journal of Mathematics Mechanics and Computer Science","issn_l":"1563-0277","issn":["1563-0277","2617-4871"],"is_oa":true,"is_in_doaj":true,"is_core":false,"listed_in":["doaj"],"host_organization":"https://openalex.org/P4310314845","host_organization_name":"Al-Farabi Kazakh National University","host_organization_lineage":["https://openalex.org/P4310314845"],"host_organization_lineage_names":["Al-Farabi Kazakh National University"],"type":"journal"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Mathematics Mechanics and Computer Science","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://bm.kaznu.kz/index.php/kaznu/article/download/1681/847","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5080117132","display_name":"Bakytbek Danebekovich Koshanov","orcid":"https://orcid.org/0000-0002-0784-5183","observed_orcids":["https://orcid.org/0000-0002-0784-5183"]},"institutions":[{"id":"https://openalex.org/I4210151480","display_name":"Institute of Mathematics and Mathematical Modeling","ror":"https://ror.org/05xx3wf87","country_code":"KZ","type":"government","lineage":["https://openalex.org/I4210151480"]}],"countries":["KZ"],"is_corresponding":false,"raw_author_name":"Bakytbek Koshanov","raw_affiliation_strings":["Institute of Mathematics and Mathematical modeling, Almaty, Kazakhstan"],"raw_orcid":"https://orcid.org/0000-0002-0784-5183","affiliations":[{"raw_affiliation_string":"Institute of Mathematics and Mathematical modeling, Almaty, Kazakhstan","institution_ids":["https://openalex.org/I4210151480"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5116832706","display_name":"Nazym Shynybayeva","orcid":"https://orcid.org/0009-0000-4480-2572","observed_orcids":["https://orcid.org/0009-0000-4480-2572"]},"institutions":[{"id":"https://openalex.org/I4210151480","display_name":"Institute of Mathematics and Mathematical Modeling","ror":"https://ror.org/05xx3wf87","country_code":"KZ","type":"government","lineage":["https://openalex.org/I4210151480"]}],"countries":["KZ"],"is_corresponding":false,"raw_author_name":"Nazym Shynybayeva","raw_affiliation_strings":["Institute of Mathematics and Mathematical modeling, Almaty, Kazakhstan"],"raw_orcid":"https://orcid.org/0009-0000-4480-2572","affiliations":[{"raw_affiliation_string":"Institute of Mathematics and Mathematical modeling, Almaty, Kazakhstan","institution_ids":["https://openalex.org/I4210151480"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5059798508","display_name":"Maira D. Koshanova","orcid":"https://orcid.org/0000-0002-1377-4633","observed_orcids":["https://orcid.org/0000-0002-1377-4633"]},"institutions":[{"id":"https://openalex.org/I2801707353","display_name":"Ahmet Yesevi University","ror":"https://ror.org/01gtvs751","country_code":"KZ","type":"education","lineage":["https://openalex.org/I2801707353"]}],"countries":["KZ"],"is_corresponding":false,"raw_author_name":"Maira Koshanova","raw_affiliation_strings":["H.A. Yasavi International Kazakh-Turkish University, Turkestan, Kazakhstan"],"raw_orcid":"https://orcid.org/0000-0002-1377-4633","affiliations":[{"raw_affiliation_string":"H.A. Yasavi International Kazakh-Turkish University, Turkestan, Kazakhstan","institution_ids":["https://openalex.org/I2801707353"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5115796640","display_name":"Nazerke Oralbekova","orcid":"https://orcid.org/0009-0001-5161-0816","observed_orcids":["https://orcid.org/0009-0001-5161-0816"]},"institutions":[{"id":"https://openalex.org/I4210117727","display_name":"D. Serikbayev East Kazakhstan State Technical University","ror":"https://ror.org/02xbhbx68","country_code":"KZ","type":"education","lineage":["https://openalex.org/I4210117727"]}],"countries":["KZ"],"is_corresponding":false,"raw_author_name":"Nazerke Oralbekova","raw_affiliation_strings":["D. Serikbayev East Kazakhstan State Technical University, Uskamen, Kazakhstan"],"raw_orcid":"https://orcid.org/0009-0001-5161-0816","affiliations":[{"raw_affiliation_string":"D. Serikbayev East Kazakhstan State Technical University, Uskamen, Kazakhstan","institution_ids":["https://openalex.org/I4210117727"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":5000,"currency":"KZT","value_usd":null},"apc_paid":null,"fwci":1.9237,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.82973013,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":93,"max":96},"biblio":{"volume":"126","issue":"2","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12589","display_name":"Differential Equations and Boundary Problems","score":0.9994999766349792,"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":0.9994999766349792,"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/T10194","display_name":"Nonlinear Partial Differential Equations","score":9.999999747378752e-05,"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/T13400","display_name":"Mathematical and Theoretical Analysis","score":0.0,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/boundary-value-problems","display_name":"boundary value problems","score":0.9169999957084656},{"id":"https://openalex.org/keywords/general-boundary-conditions","display_name":"general boundary conditions","score":0.765999972820282},{"id":"https://openalex.org/keywords/unit-ball","display_name":"unit ball","score":0.8920000195503235},{"id":"https://openalex.org/keywords/green-s-function","display_name":"Green's function","score":0.8560000061988831},{"id":"https://openalex.org/keywords/dirichlet-problem","display_name":"Dirichlet problem","score":0.847000002861023},{"id":"https://openalex.org/keywords/solvability","display_name":"solvability","score":0.6830000281333923},{"id":"https://openalex.org/keywords/elliptic-equations","display_name":"elliptic equations","score":0.7580000162124634}],"concepts":[{"id":"https://openalex.org/C122041747","wikidata":"https://www.wikidata.org/wiki/Q838611","display_name":"Ball (mathematics)","level":2,"score":0.7235121130943298},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.5881443023681641},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5250858068466187},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.40331047773361206}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.26577/jmmcs2025126204","doi":"https://doi.org/10.26577/jmmcs2025126204","is_oa":true,"landing_page_url":"https://doi.org/10.26577/jmmcs2025126204","pdf_url":"https://bm.kaznu.kz/index.php/kaznu/article/download/1681/847","source":{"id":"https://openalex.org/S4210208774","display_name":"Journal of Mathematics Mechanics and Computer Science","issn_l":"1563-0277","issn":["1563-0277","2617-4871"],"is_oa":true,"is_in_doaj":true,"is_core":false,"listed_in":["doaj"],"host_organization":"https://openalex.org/P4310314845","host_organization_name":"Al-Farabi Kazakh National University","host_organization_lineage":["https://openalex.org/P4310314845"],"host_organization_lineage_names":["Al-Farabi Kazakh National University"],"type":"journal"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Mathematics Mechanics and Computer Science","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.26577/jmmcs2025126204","doi":"https://doi.org/10.26577/jmmcs2025126204","is_oa":true,"landing_page_url":"https://doi.org/10.26577/jmmcs2025126204","pdf_url":"https://bm.kaznu.kz/index.php/kaznu/article/download/1681/847","source":{"id":"https://openalex.org/S4210208774","display_name":"Journal of Mathematics Mechanics and Computer Science","issn_l":"1563-0277","issn":["1563-0277","2617-4871"],"is_oa":true,"is_in_doaj":true,"is_core":false,"listed_in":["doaj"],"host_organization":"https://openalex.org/P4310314845","host_organization_name":"Al-Farabi Kazakh National University","host_organization_lineage":["https://openalex.org/P4310314845"],"host_organization_lineage_names":["Al-Farabi Kazakh National University"],"type":"journal"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Mathematics Mechanics and Computer Science","raw_type":"journal-article"},"sustainable_development_goals":[],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4411577445.pdf","grobid_xml":"https://content.openalex.org/works/W4411577445.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2061531152","https://openalex.org/W2051519054","https://openalex.org/W2488633177","https://openalex.org/W4372049322","https://openalex.org/W2352708639","https://openalex.org/W2083247966","https://openalex.org/W2043702156"],"abstract_inverted_index":{"The":[0,129],"need":[1],"to":[2,192,205],"study":[3,21],"boundary":[4,41,122,132,171,193],"value":[5,42,133,172,194],"problems":[6,134,160,173,195],"for":[7,47,135,196],"elliptic":[8],"and":[9,32,94,143],"parabolic":[10],"equations":[11,110,120,198],"is":[12,63,79,103,139,154],"dictated":[13],"by":[14],"numerous":[15],"practical":[16],"applications":[17],"in":[18,24,51,114,125],"the":[19,37,48,57,60,72,76,84,87,91,95,99,106,115,148,162,168,178,187],"theoretical":[20],"of":[22,39,56,59,67,71,75,90,98,108,131,147,150,157,164,167,170,174,190],"processes":[23],"hydrodynamics,":[25],"electrostatics,":[26],"mechanics,":[27],"heat":[28],"conduction,":[29],"elasticity":[30],"theory,":[31],"quantum":[33],"physics.":[34],"This":[35,81,202],"paperinvestigates":[36],"solvability":[38],"a":[40,52,69,126,141,155],"problem":[43,78],"with":[44,111,199],"general":[45,136],"conditions":[46,123],"triharmonic":[49],"equation":[50],"unit":[53],"ball.The":[54],"validity":[55],"analogue":[58],"Almansi":[61],"representation":[62,70],"proved.":[64],"For":[65],"completeness":[66],"presentation,":[68],"Green\u2019s":[73,88,96],"functions":[74],"Dirichlet-2":[77,100],"given.":[80],"article":[82,203],"indicates":[83],"difference":[85],"between":[86],"function":[89,97],"real":[92],"Dirichletproblem":[93],"problem.":[101],"It":[102],"known":[104],"that":[105],"results":[107],"differential":[109,119,137,175],"partial":[112,200],"derivatives":[113],"entire":[116],"space":[117],"or":[118],"without":[121],"are":[124],"sense":[127],"final.":[128],"theory":[130,149,169],"operators":[138],"currently":[140],"relevant":[142],"rapidly":[144],"developing":[145],"part":[146],"differentialequations.":[151],"However,":[152],"there":[153],"shortage":[156],"explicitly":[158],"solvable":[159],"on":[161,186],"path":[163],"further":[165],"development":[166],"equations.":[176],"Over":[177],"past":[179],"decades,":[180],"sufficient":[181],"material":[182],"has":[183],"been":[184],"accumulated":[185],"constructive":[188],"construction":[189],"solutions":[191],"model":[197],"derivatives.":[201],"relates":[204],"this":[206],"topical":[207],"issue.":[208]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-09-30T09:27:27.532063","created_date":"2025-10-10T00:00:00"}
