{"id":"https://openalex.org/W2916009102","doi":"https://doi.org/10.31489/2016m4/99-103","title":"Construction of the solution of the boundary value problem for integro differential equation with a small parameter in highest derivatives","display_name":"Construction of the solution of the boundary value problem for integro differential equation with a small parameter in highest derivatives","publication_year":2016,"publication_date":"2016-12-30","ids":{"openalex":"https://openalex.org/W2916009102","doi":"https://doi.org/10.31489/2016m4/99-103","mag":"2916009102"},"language":"en","primary_location":{"id":"doi:10.31489/2016m4/99-103","doi":"https://doi.org/10.31489/2016m4/99-103","is_oa":true,"landing_page_url":"https://doi.org/10.31489/2016m4/99-103","pdf_url":"https://doi.org/10.31489/2016m4/99-103","source":{"id":"https://openalex.org/S4210170749","display_name":"BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS","issn_l":"2518-7929","issn":["2518-7929","2663-5011"],"is_oa":true,"is_in_doaj":true,"is_core":false,"listed_in":["doaj","dongbi-c","poland-20","russia-white-list-4"],"host_organization":"https://openalex.org/I2800164252","host_organization_name":"Karaganda Buketov University","host_organization_lineage":["https://openalex.org/I2800164252"],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://doi.org/10.31489/2016m4/99-103","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5103699447","display_name":"A. E. Mirzakulova","orcid":"https://orcid.org/0000-0001-6445-6371","observed_orcids":["https://orcid.org/0000-0001-6445-6371"]},"institutions":[{"id":"https://openalex.org/I185571130","display_name":"Al-Farabi Kazakh National University","ror":"https://ror.org/03q0vrn42","country_code":"KZ","type":"education","lineage":["https://openalex.org/I185571130"]}],"countries":["KZ"],"is_corresponding":true,"raw_author_name":"A.E. Mirzakulova","raw_affiliation_strings":["Al-Farabi Kazakh National University, Almaty"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Al-Farabi Kazakh National University, Almaty","institution_ids":["https://openalex.org/I185571130"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5050000503","display_name":"\u041d. \u0410\u0442\u0430\u0445\u0430\u043d","orcid":"https://orcid.org/0000-0002-7887-7406","observed_orcids":["https://orcid.org/0000-0002-7887-7406"]},"institutions":[{"id":"https://openalex.org/I185571130","display_name":"Al-Farabi Kazakh National University","ror":"https://ror.org/03q0vrn42","country_code":"KZ","type":"education","lineage":["https://openalex.org/I185571130"]}],"countries":["KZ"],"is_corresponding":false,"raw_author_name":"N. Atakhan","raw_affiliation_strings":["Al-Farabi Kazakh National University, Almaty"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Al-Farabi Kazakh National University, Almaty","institution_ids":["https://openalex.org/I185571130"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5103699447"],"corresponding_institution_ids":["https://openalex.org/I185571130"],"apc_list":{"value":20000,"currency":"KZT","value_usd":null},"apc_paid":null,"fwci":0.3112,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.52014188,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":93},"biblio":{"volume":"84","issue":"4","first_page":"99","last_page":"103"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12727","display_name":"Singular Perturbation, Asymptotics and Difference Schemes","score":0.9262999892234802,"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"}},"topics":[{"id":"https://openalex.org/T12727","display_name":"Singular Perturbation, Asymptotics and Difference Schemes","score":0.9262999892234802,"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"}},{"id":"https://openalex.org/T12589","display_name":"Differential Equations and Boundary Problems","score":0.07109999656677246,"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":0.0015999999595806003,"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/integro-differential-equations","display_name":"integro-differential equations","score":0.9810000061988831},{"id":"https://openalex.org/keywords/boundary-value-problems","display_name":"boundary value problems","score":0.7950000166893005},{"id":"https://openalex.org/keywords/small-parameter","display_name":"small parameter","score":0.7630000114440918},{"id":"https://openalex.org/keywords/singular-perturbation","display_name":"singular perturbation","score":0.8040000200271606},{"id":"https://openalex.org/keywords/fundamental-system-of-solutions","display_name":"fundamental system of solutions","score":0.7860000133514404},{"id":"https://openalex.org/keywords/cauchy-function","display_name":"Cauchy function","score":0.9909999966621399},{"id":"https://openalex.org/keywords/boundary-functions","display_name":"boundary functions","score":0.9760000109672546},{"id":"https://openalex.org/keywords/analytical-solution","display_name":"analytical solution","score":0.6940000057220459},{"id":"https://openalex.org/keywords/higher-order-differential-equations","display_name":"higher-order differential equations","score":0.7919999957084656}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7907153367996216},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.7058281898498535},{"id":"https://openalex.org/C106947605","wikidata":"https://www.wikidata.org/wiki/Q3278575","display_name":"Cauchy boundary condition","level":4,"score":0.6812869310379028},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.6585795879364014},{"id":"https://openalex.org/C70985411","wikidata":"https://www.wikidata.org/wiki/Q2380676","display_name":"Integro-differential equation","level":4,"score":0.5667853355407715},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.5589350461959839},{"id":"https://openalex.org/C22219631","wikidata":"https://www.wikidata.org/wiki/Q2434565","display_name":"Homogeneous differential equation","level":5,"score":0.5081915855407715},{"id":"https://openalex.org/C49344536","wikidata":"https://www.wikidata.org/wiki/Q726441","display_name":"Cauchy distribution","level":2,"score":0.4783729612827301},{"id":"https://openalex.org/C154416045","wikidata":"https://www.wikidata.org/wiki/Q5500196","display_name":"Free boundary problem","level":3,"score":0.46877971291542053},{"id":"https://openalex.org/C135909967","wikidata":"https://www.wikidata.org/wiki/Q4338245","display_name":"Singular solution","level":2,"score":0.4475107491016388},{"id":"https://openalex.org/C42045870","wikidata":"https://www.wikidata.org/wiki/Q2992268","display_name":"Mixed boundary condition","level":3,"score":0.4342438578605652},{"id":"https://openalex.org/C26955809","wikidata":"https://www.wikidata.org/wiki/Q10167591","display_name":"Initial value problem","level":2,"score":0.4325055181980133},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.3426918387413025},{"id":"https://openalex.org/C64057670","wikidata":"https://www.wikidata.org/wiki/Q4381442","display_name":"First-order partial differential equation","level":3,"score":0.2388043999671936},{"id":"https://openalex.org/C186219872","wikidata":"https://www.wikidata.org/wiki/Q955889","display_name":"Differential algebraic equation","level":4,"score":0.05859366059303284}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.31489/2016m4/99-103","doi":"https://doi.org/10.31489/2016m4/99-103","is_oa":true,"landing_page_url":"https://doi.org/10.31489/2016m4/99-103","pdf_url":"https://doi.org/10.31489/2016m4/99-103","source":{"id":"https://openalex.org/S4210170749","display_name":"BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS","issn_l":"2518-7929","issn":["2518-7929","2663-5011"],"is_oa":true,"is_in_doaj":true,"is_core":false,"listed_in":["doaj","dongbi-c","poland-20","russia-white-list-4"],"host_organization":"https://openalex.org/I2800164252","host_organization_name":"Karaganda Buketov University","host_organization_lineage":["https://openalex.org/I2800164252"],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:2ee33171b3c44ee989f2bc814d1d98bf","doi":null,"is_oa":false,"landing_page_url":"https://doaj.org/article/2ee33171b3c44ee989f2bc814d1d98bf","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"\u049a\u0430\u0440\u0430\u0493\u0430\u043d\u0434\u044b \u0443\u043d\u0438\u0432\u0435\u0440\u0441\u0438\u0442\u0435\u0442\u0456\u043d\u0456\u04a3 \u0445\u0430\u0431\u0430\u0440\u0448\u044b\u0441\u044b. \u041c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0430 \u0441\u0435\u0440\u0438\u044f\u0441\u044b, Vol 84, Iss 4 (2016)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.31489/2016m4/99-103","doi":"https://doi.org/10.31489/2016m4/99-103","is_oa":true,"landing_page_url":"https://doi.org/10.31489/2016m4/99-103","pdf_url":"https://doi.org/10.31489/2016m4/99-103","source":{"id":"https://openalex.org/S4210170749","display_name":"BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS","issn_l":"2518-7929","issn":["2518-7929","2663-5011"],"is_oa":true,"is_in_doaj":true,"is_core":false,"listed_in":["doaj","dongbi-c","poland-20","russia-white-list-4"],"host_organization":"https://openalex.org/I2800164252","host_organization_name":"Karaganda Buketov University","host_organization_lineage":["https://openalex.org/I2800164252"],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS","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/W2916009102.pdf","grobid_xml":"https://content.openalex.org/works/W2916009102.grobid-xml"},"referenced_works_count":2,"referenced_works":["https://openalex.org/W4300178853","https://openalex.org/W6600853867"],"related_works":["https://openalex.org/W4400354908","https://openalex.org/W2044090416","https://openalex.org/W2793775317","https://openalex.org/W4385242481","https://openalex.org/W4415618624","https://openalex.org/W3046295480","https://openalex.org/W7128488463","https://openalex.org/W2787407709","https://openalex.org/W2891853201","https://openalex.org/W4206677613"],"abstract_inverted_index":{"Construction":[0],"of":[1,4,28,30,42,62,69,74,93,95,106],"the":[2,5,24,52,71],"solution":[3,29,94],"boundary":[6,31,81,86,98],"value":[7,32,99],"problem":[8,33,100],"for":[9,37,101],"integro":[10],"differential":[11,60],"equation":[12,41,61,105],"with":[13,34,47],"a":[14,38,48],"small":[15,49],"parameter":[16,50],"in":[17,51],"highest":[18,53],"derivativesThe":[19],"article":[20],"is":[21],"devoted":[22],"to":[23],"study":[25],"analytical":[26,91],"formula":[27,92],"initial":[35],"jump":[36],"linear":[39],"integro-differential":[40,104],"n":[43],"+":[44],"m":[45],"order":[46,64],"derivatives.In":[54],"this":[55],"paper":[56],"singular":[57,102],"perturbed":[58,103],"homogeneous":[59],"n+m":[63],"are":[65,76,88],"constructed":[66,77],"fundamental":[67,72],"system":[68,73],"solutions.With":[70],"solutions":[75],"Cauchy":[78,83],"function":[79,84],"and":[80,85],"functions.Using":[82],"functions":[87],"obtained":[89],"explicit":[90],"considered":[96],"local":[97],"high":[107],"order.":[108]},"counts_by_year":[{"year":2018,"cited_by_count":1}],"updated_date":"2026-10-30T12:39:25.321706","created_date":"2019-03-02T00:00:00"}