{"id":"https://openalex.org/W2467481985","doi":"https://doi.org/10.1134/s001226611603006x","title":"On the spectrum of a multipoint boundary value problem for a fourth-order equation","display_name":"On the spectrum of a multipoint boundary value problem for a fourth-order equation","publication_year":2016,"publication_date":"2016-03-01","ids":{"openalex":"https://openalex.org/W2467481985","doi":"https://doi.org/10.1134/s001226611603006x","mag":"2467481985"},"language":"en","primary_location":{"id":"doi:10.1134/s001226611603006x","doi":"https://doi.org/10.1134/s001226611603006x","is_oa":false,"landing_page_url":"https://doi.org/10.1134/s001226611603006x","pdf_url":null,"source":{"id":"https://openalex.org/S71958379","display_name":"Differential Equations","issn_l":"0012-2661","issn":["0012-2661","1608-3083"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":["jufo-1","norway-1"],"host_organization":"https://openalex.org/P4310320267","host_organization_name":"Pleiades Publishing","host_organization_lineage":["https://openalex.org/P4310320267","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Pleiades Publishing","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Differential Equations","raw_type":"journal-article"},"volume":null,"type":"article","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/A5013777368","display_name":"R. Ch. Kulaev","orcid":"https://orcid.org/0000-0002-1501-5024","observed_orcids":["https://orcid.org/0000-0002-1501-5024"]},"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"]},{"id":"https://openalex.org/I3132536144","display_name":"North Ossetian State University","ror":"https://ror.org/00vk7w211","country_code":"RU","type":"education","lineage":["https://openalex.org/I3132536144"]},{"id":"https://openalex.org/I4210131691","display_name":"Federal State Budgetary Institution of Science Federal Scientific Center \"Vladikavkaz Scientific Center of the Russian Academy of Sciences\"","ror":"https://ror.org/02v9hwv19","country_code":"RU","type":"government","lineage":["https://openalex.org/I4210131691"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"R. Ch. Kulaev","raw_affiliation_strings":["North Ossetian State University, Vladikavkaz, Russia","Southern Mathematical Institute, Vladikavkaz Scientific Center, Russian Academy of Sciences, Vladikavkaz, Russia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"North Ossetian State University, Vladikavkaz, Russia","institution_ids":["https://openalex.org/I3132536144"]},{"raw_affiliation_string":"Southern Mathematical Institute, Vladikavkaz Scientific Center, Russian Academy of Sciences, Vladikavkaz, Russia","institution_ids":["https://openalex.org/I1313323035","https://openalex.org/I4210131691"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5013777368"],"corresponding_institution_ids":["https://openalex.org/I1313323035","https://openalex.org/I3132536144","https://openalex.org/I4210131691"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.09789335,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":93},"biblio":{"volume":"52","issue":"3","first_page":"316","last_page":"326"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11022","display_name":"Spectral Theory in Mathematical Physics","score":0.9609000086784363,"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"}},"topics":[{"id":"https://openalex.org/T11022","display_name":"Spectral Theory in Mathematical Physics","score":0.9609000086784363,"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/T12589","display_name":"Differential Equations and Boundary Problems","score":0.01940000057220459,"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/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.008200000040233135,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/multi-point-boundary-value-problems","display_name":"multi-point boundary value problems","score":0.9549999833106995},{"id":"https://openalex.org/keywords/fourth-order-differential-equations","display_name":"fourth-order differential equations","score":0.8849999904632568},{"id":"https://openalex.org/keywords/spectral-properties","display_name":"spectral properties","score":0.8159999847412109},{"id":"https://openalex.org/keywords/eigenvalues","display_name":"eigenvalues","score":0.5609999895095825},{"id":"https://openalex.org/keywords/rigidity-coefficient","display_name":"rigidity coefficient","score":0.7910000085830688},{"id":"https://openalex.org/keywords/elastic-support","display_name":"elastic support","score":0.9290000200271606},{"id":"https://openalex.org/keywords/small-deformations","display_name":"small deformations","score":0.9409999847412109}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7919007539749146},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.7741180658340454},{"id":"https://openalex.org/C160343418","wikidata":"https://www.wikidata.org/wiki/Q185256","display_name":"Rigidity (electromagnetism)","level":2,"score":0.7461223602294922},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.7444927096366882},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.6524961590766907},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.6263388991355896},{"id":"https://openalex.org/C156778621","wikidata":"https://www.wikidata.org/wiki/Q1365748","display_name":"Spectrum (functional analysis)","level":2,"score":0.5096449851989746},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.4170609414577484},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.3250042200088501},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08817306160926819},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1134/s001226611603006x","doi":"https://doi.org/10.1134/s001226611603006x","is_oa":false,"landing_page_url":"https://doi.org/10.1134/s001226611603006x","pdf_url":null,"source":{"id":"https://openalex.org/S71958379","display_name":"Differential Equations","issn_l":"0012-2661","issn":["0012-2661","1608-3083"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":["jufo-1","norway-1"],"host_organization":"https://openalex.org/P4310320267","host_organization_name":"Pleiades Publishing","host_organization_lineage":["https://openalex.org/P4310320267","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Pleiades Publishing","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Differential Equations","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W1522714617","https://openalex.org/W1555941985","https://openalex.org/W1587239760","https://openalex.org/W2070992984","https://openalex.org/W2080485066","https://openalex.org/W2082395113","https://openalex.org/W2131755783","https://openalex.org/W2159615066","https://openalex.org/W2322837014","https://openalex.org/W2329857875","https://openalex.org/W6601887272"],"related_works":["https://openalex.org/W2626846570","https://openalex.org/W2068558458","https://openalex.org/W3204534828","https://openalex.org/W1541799442","https://openalex.org/W2369416114","https://openalex.org/W1974121318","https://openalex.org/W2952745759","https://openalex.org/W2069948527","https://openalex.org/W2999616507","https://openalex.org/W3164276969"],"abstract_inverted_index":{"We":[0,29,48],"study":[1,30],"the":[2,31,34,37,42,46,51,54,70,74,79,83,87,91,97],"spectral":[3],"properties":[4],"of":[5,19,22,33,36,45,53,63,69,90,100],"a":[6,12,20],"multipoint":[7],"boundary":[8,38,55],"value":[9,39,56],"problem":[10,40,57],"for":[11],"fourth-order":[13],"equation":[14],"that":[15,50],"describes":[16],"small":[17],"deformations":[18],"chain":[21],"rigidly":[23],"connected":[24],"rods":[25],"with":[26],"elastic":[27],"supports.":[28,47],"dependence":[32],"spectrum":[35,52,92],"on":[41],"rigidity":[43,71,80],"coefficients":[44,72,81],"show":[49],"splits":[58],"into":[59],"two":[60],"parts,":[61],"one":[62],"which":[64],"is":[65,103],"movable":[66,88],"under":[67],"changes":[68],"and":[73],"other":[75],"remains":[76],"fixed.":[77],"As":[78],"grow,":[82],"eigenvalues":[84,102],"corresponding":[85],"to":[86],"part":[89],"grow":[93],"as":[94],"well;":[95],"moreover,":[96],"double":[98],"degeneration":[99],"some":[101],"possible.":[104]},"counts_by_year":[{"year":2023,"cited_by_count":1}],"updated_date":"2026-08-01T09:00:35.917206","created_date":"2025-10-10T00:00:00"}