{"id":"https://openalex.org/W2000765218","doi":"https://doi.org/10.1002/(sici)1522-2616(200005)213:1<57::aid-mana57>3.0.co;2-j","title":"On the Eigenvalues of Half-Linear Boundary Value Problems","display_name":"On the Eigenvalues of Half-Linear Boundary Value Problems","publication_year":2000,"publication_date":"2000-05-01","ids":{"openalex":"https://openalex.org/W2000765218","doi":"https://doi.org/10.1002/(sici)1522-2616(200005)213:1<57::aid-mana57>3.0.co;2-j","mag":"2000765218"},"language":"de","primary_location":{"id":"doi:10.1002/(sici)1522-2616(200005)213:1<57::aid-mana57>3.0.co;2-j","doi":"https://doi.org/10.1002/(sici)1522-2616(200005)213:1<57::aid-mana57>3.0.co;2-j","is_oa":false,"landing_page_url":"https://doi.org/10.1002/(sici)1522-2616(200005)213:1<57::aid-mana57>3.0.co;2-j","pdf_url":null,"source":{"id":"https://openalex.org/S73458468","display_name":"Mathematische Nachrichten","issn_l":"0025-584X","issn":["0025-584X","1522-2616"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","jufo-1","norway-1"],"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematische Nachrichten","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/A5008831033","display_name":"Walter Eberhard","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I62318514","display_name":"University of Duisburg-Essen","ror":"https://ror.org/04mz5ra38","country_code":"DE","type":"education","lineage":["https://openalex.org/I62318514"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Walter Eberhard","raw_affiliation_strings":["Universita\u0308t-GH-Duisburg, FB 11-Mathematik, Lotharstr. 65, D-47057 Duisburg, Germany","Universit\u00e4t\u2010GH\u2010Duisburg, FB 11\u2010Mathematik, Lotharstr. 65, D\u201047057 Duisburg, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universita\u0308t-GH-Duisburg, FB 11-Mathematik, Lotharstr. 65, D-47057 Duisburg, Germany","institution_ids":["https://openalex.org/I62318514"]},{"raw_affiliation_string":"Universit\u00e4t\u2010GH\u2010Duisburg, FB 11\u2010Mathematik, Lotharstr. 65, D\u201047057 Duisburg, Germany","institution_ids":["https://openalex.org/I62318514"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5111550276","display_name":"\u00c1rp\u00e1d Elbert","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I7597260","display_name":"Hungarian Academy of Sciences","ror":"https://ror.org/02ks8qq67","country_code":"HU","type":"government","lineage":["https://openalex.org/I7597260"]}],"countries":["HU"],"is_corresponding":false,"raw_author_name":"\u00c1rp\u00e1d Elbert","raw_affiliation_strings":["Mathematical Institute of the Hungarian Academy of Sciences, P.O.B. 127, H-1364 Budapest, Hungary","Mathematical Institute of the Hungarian Academy of Sciences P.O.B. 127 H-1364 Budapest, Hungary"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematical Institute of the Hungarian Academy of Sciences, P.O.B. 127, H-1364 Budapest, Hungary","institution_ids":["https://openalex.org/I7597260"]},{"raw_affiliation_string":"Mathematical Institute of the Hungarian Academy of Sciences P.O.B. 127 H-1364 Budapest, Hungary","institution_ids":["https://openalex.org/I7597260"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":3460,"currency":"USD","value_usd":3460},"apc_paid":null,"fwci":0.539,"has_fulltext":false,"cited_by_count":17,"citation_normalized_percentile":{"value":0.61279461,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"213","issue":"1","first_page":"57","last_page":"76"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11022","display_name":"Spectral Theory in Mathematical Physics","score":0.6851000189781189,"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":0.6851000189781189,"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/T10541","display_name":"Nonlinear Differential Equations Analysis","score":0.2800000011920929,"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/T12589","display_name":"Differential Equations and Boundary Problems","score":0.011699999682605267,"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/half-linear-differential-equations","display_name":"half-linear differential equations","score":0.9259999990463257},{"id":"https://openalex.org/keywords/eigenvalues","display_name":"eigenvalues","score":0.7139999866485596},{"id":"https://openalex.org/keywords/boundary-value-problems","display_name":"boundary value problems","score":0.8510000109672546},{"id":"https://openalex.org/keywords/sign-changing-weight","display_name":"sign-changing weight","score":0.8669999837875366},{"id":"https://openalex.org/keywords/asymptotic-estimates","display_name":"asymptotic bounds","score":0.7620000243186951},{"id":"https://openalex.org/keywords/eigenvalue-sequences","display_name":"eigenvalue sequences","score":0.6320000290870667}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.925282895565033},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.8117949962615967},{"id":"https://openalex.org/C139676723","wikidata":"https://www.wikidata.org/wiki/Q1193832","display_name":"Sign (mathematics)","level":2,"score":0.7094867825508118},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.5876196026802063},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5254332423210144},{"id":"https://openalex.org/C2776291640","wikidata":"https://www.wikidata.org/wiki/Q2912517","display_name":"Value (mathematics)","level":2,"score":0.5207778811454773},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5120335221290588},{"id":"https://openalex.org/C134466208","wikidata":"https://www.wikidata.org/wiki/Q1520657","display_name":"Weight function","level":2,"score":0.5092178583145142},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.4416015148162842},{"id":"https://openalex.org/C2988329120","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary values","level":3,"score":0.42898571491241455},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.1392415165901184},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1002/(sici)1522-2616(200005)213:1<57::aid-mana57>3.0.co;2-j","doi":"https://doi.org/10.1002/(sici)1522-2616(200005)213:1<57::aid-mana57>3.0.co;2-j","is_oa":false,"landing_page_url":"https://doi.org/10.1002/(sici)1522-2616(200005)213:1<57::aid-mana57>3.0.co;2-j","pdf_url":null,"source":{"id":"https://openalex.org/S73458468","display_name":"Mathematische Nachrichten","issn_l":"0025-584X","issn":["0025-584X","1522-2616"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","jufo-1","norway-1"],"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematische Nachrichten","raw_type":"journal-article"},{"id":"pmh:hdl:10068/184791","doi":null,"is_oa":false,"landing_page_url":"http://hdl.handle.net/10068/184791","pdf_url":null,"source":{"id":"https://openalex.org/S4377196900","display_name":"OpenGrey (Institut de l'Information Scientifique et Technique)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I1295345811","host_organization_name":"Institut de l'Information Scientifique et Technique","host_organization_lineage":["https://openalex.org/I1295345811"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"I - Miscellaneous"}],"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":7,"referenced_works":["https://openalex.org/W1982441974","https://openalex.org/W1994294987","https://openalex.org/W2023583914","https://openalex.org/W2055508901","https://openalex.org/W2134149025","https://openalex.org/W2327857048","https://openalex.org/W2341258640"],"related_works":["https://openalex.org/W2154293587","https://openalex.org/W2014759640","https://openalex.org/W2377755389","https://openalex.org/W2953148713","https://openalex.org/W2158851710","https://openalex.org/W2981595730","https://openalex.org/W2550155501","https://openalex.org/W2381926872","https://openalex.org/W2121052302","https://openalex.org/W2051772438"],"abstract_inverted_index":{"We":[0,18],"consider":[1],"the":[2,9,20],"half-linear":[3],"boundary":[4],"value":[5],"problem":[6],"where":[7],"and":[8,28],"weight":[10],"function":[11],"q":[12],"is":[13],"assumed":[14],"to":[15],"change":[16],"sign.":[17],"prove":[19],"existence":[21],"of":[22,26],"two":[23],"sequences":[24],",":[25],"eigenvalues":[27],"derive":[29],"asymptotic":[30],"estimates":[31],"for":[32],"as":[33],".":[34]},"counts_by_year":[{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":2}],"updated_date":"2026-08-27T14:10:00.468798","created_date":"2025-10-10T00:00:00"}