{"id":"https://openalex.org/W4295190265","doi":"https://doi.org/10.14736/kyb-2022-3-0376","title":"On exact solutions of a class of interval boundary value problems","display_name":"On exact solutions of a class of interval boundary value problems","publication_year":2022,"publication_date":"2022-09-11","ids":{"openalex":"https://openalex.org/W4295190265","doi":"https://doi.org/10.14736/kyb-2022-3-0376"},"language":"en","primary_location":{"id":"doi:10.14736/kyb-2022-3-0376","is_oa":true,"landing_page_url":"https://doi.org/10.14736/kyb-2022-3-0376","pdf_url":"https://www.kybernetika.cz/content/2022/3/376/paper.pdf","source":{"id":"https://openalex.org/S158577884","display_name":"Kybernetika","issn_l":"0023-5954","issn":["0023-5954","1805-949X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310314340","host_organization_name":"Institute of Information Theory and Automation of the Czech Academy of Sciences","host_organization_lineage":["https://openalex.org/P4310314340","https://openalex.org/P4310314171"],"host_organization_lineage_names":["Institute of Information Theory and Automation of the Czech Academy of Sciences","Czech Academy of Sciences"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Kybernetika","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://www.kybernetika.cz/content/2022/3/376/paper.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5080201895","display_name":"Nizami Gasilov","orcid":"https://orcid.org/0000-0002-9955-8439"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Nizami A. Gasilov","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5080201895"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.287,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.58094718,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":95},"biblio":{"volume":null,"issue":null,"first_page":"376","last_page":"399"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11697","display_name":"Numerical Methods and Algorithms","score":0.8952999711036682,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11697","display_name":"Numerical Methods and Algorithms","score":0.8952999711036682,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12135","display_name":"Fuzzy Systems and Optimization","score":0.8519999980926514,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"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/interval","display_name":"Interval (graph theory)","score":0.7210909724235535},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.6929801106452942},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6012780666351318},{"id":"https://openalex.org/keywords/value","display_name":"Value (mathematics)","score":0.5622934103012085},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.554166316986084},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5010848045349121},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3315727710723877},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2749295234680176},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2544440031051636},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.1787796914577484},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.14692330360412598},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.056305140256881714}],"concepts":[{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.7210909724235535},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.6929801106452942},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6012780666351318},{"id":"https://openalex.org/C2776291640","wikidata":"https://www.wikidata.org/wiki/Q2912517","display_name":"Value (mathematics)","level":2,"score":0.5622934103012085},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.554166316986084},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5010848045349121},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3315727710723877},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2749295234680176},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2544440031051636},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.1787796914577484},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.14692330360412598},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.056305140256881714}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.14736/kyb-2022-3-0376","is_oa":true,"landing_page_url":"https://doi.org/10.14736/kyb-2022-3-0376","pdf_url":"https://www.kybernetika.cz/content/2022/3/376/paper.pdf","source":{"id":"https://openalex.org/S158577884","display_name":"Kybernetika","issn_l":"0023-5954","issn":["0023-5954","1805-949X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310314340","host_organization_name":"Institute of Information Theory and Automation of the Czech Academy of Sciences","host_organization_lineage":["https://openalex.org/P4310314340","https://openalex.org/P4310314171"],"host_organization_lineage_names":["Institute of Information Theory and Automation of the Czech Academy of Sciences","Czech Academy of Sciences"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Kybernetika","raw_type":"journal-article"},{"id":"pmh:oai:oai.dml.cz:10338.dmlcz/151036","is_oa":false,"landing_page_url":"http://hdl.handle.net/10338.dmlcz/151036","pdf_url":null,"source":{"id":"https://openalex.org/S4406922294","display_name":"Czech digital mathematics library","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"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":null,"raw_type":"type:math"}],"best_oa_location":{"id":"doi:10.14736/kyb-2022-3-0376","is_oa":true,"landing_page_url":"https://doi.org/10.14736/kyb-2022-3-0376","pdf_url":"https://www.kybernetika.cz/content/2022/3/376/paper.pdf","source":{"id":"https://openalex.org/S158577884","display_name":"Kybernetika","issn_l":"0023-5954","issn":["0023-5954","1805-949X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310314340","host_organization_name":"Institute of Information Theory and Automation of the Czech Academy of Sciences","host_organization_lineage":["https://openalex.org/P4310314340","https://openalex.org/P4310314171"],"host_organization_lineage_names":["Institute of Information Theory and Automation of the Czech Academy of Sciences","Czech Academy of Sciences"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Kybernetika","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.4300000071525574,"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4295190265.pdf","grobid_xml":"https://content.openalex.org/works/W4295190265.grobid-xml"},"referenced_works_count":28,"referenced_works":["https://openalex.org/W115362649","https://openalex.org/W297383587","https://openalex.org/W410974397","https://openalex.org/W1542253753","https://openalex.org/W1580809199","https://openalex.org/W1975021587","https://openalex.org/W1986928005","https://openalex.org/W2034038007","https://openalex.org/W2041614165","https://openalex.org/W2070545443","https://openalex.org/W2078542729","https://openalex.org/W2081026153","https://openalex.org/W2085750851","https://openalex.org/W2092708790","https://openalex.org/W2201266648","https://openalex.org/W2263292316","https://openalex.org/W2403862106","https://openalex.org/W2753517469","https://openalex.org/W2766160480","https://openalex.org/W2794723255","https://openalex.org/W2908352529","https://openalex.org/W2984642649","https://openalex.org/W3096950809","https://openalex.org/W3151866737","https://openalex.org/W3168280657","https://openalex.org/W3179244205","https://openalex.org/W3192399713","https://openalex.org/W3212953760"],"related_works":["https://openalex.org/W2159964792","https://openalex.org/W1560139384","https://openalex.org/W2015274193","https://openalex.org/W1984138193","https://openalex.org/W2357111437","https://openalex.org/W4220985904","https://openalex.org/W4245298667","https://openalex.org/W1559102282","https://openalex.org/W1988896084","https://openalex.org/W2222154592"],"abstract_inverted_index":{"In":[0],"this":[1,29,45],"article,":[2],"we":[3,34,69],"deal":[4],"with":[5],"the":[6,16,19,47,73,76,80,83,88],"Boundary":[7],"Value":[8],"Problem":[9],"(BVP)":[10],"for":[11],"linear":[12],"ordinary":[13],"differential":[14],"equations,":[15],"coefficients":[17],"and":[18],"boundary":[20],"values":[21],"of":[22,31,55,62,64,75,82,95],"which":[23],"are":[24],"constant":[25],"intervals.":[26],"To":[27],"solve":[28],"kind":[30],"interval":[32,48,77],"BVP,":[33],"implement":[35],"an":[36,100],"approach":[37,85],"that":[38,87],"differs":[39],"from":[40],"commonly":[41],"used":[42],"ones.":[43],"With":[44],"approach,":[46],"BVP":[49],"is":[50,86,90],"interpreted":[51],"as":[52,92,99,103],"a":[53,93],"family":[54],"classical":[56],"(real)":[57],"BVPs.":[58],"The":[59],"set":[60,94],"(bunch)":[61],"solutions":[63],"all":[65],"these":[66],"real":[67,96],"BVPs":[68],"define":[70],"to":[71],"be":[72],"solution":[74,89],"BVP.":[78],"Therefore,":[79],"novelty":[81],"proposed":[84],"treated":[91],"functions,":[97],"not":[98],"interval-valued":[101],"function,":[102],"usual.":[104]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1}],"updated_date":"2026-07-02T09:51:11.867554","created_date":"2025-10-10T00:00:00"}