{"id":"https://openalex.org/W1588923958","doi":"https://doi.org/10.57262/die/1371669559","title":"Oscillation for first order linear differential equations with deviating arguments","display_name":"Oscillation for first order linear differential equations with deviating arguments","publication_year":1988,"publication_date":"1988-01-01","ids":{"openalex":"https://openalex.org/W1588923958","doi":"https://doi.org/10.57262/die/1371669559","mag":"1588923958"},"language":"en","primary_location":{"id":"doi:10.57262/die/1371669559","doi":"https://doi.org/10.57262/die/1371669559","is_oa":true,"landing_page_url":"https://doi.org/10.57262/die/1371669559","pdf_url":"https://projecteuclid.org/journals/differential-and-integral-equations/volume-1/issue-3/Oscillation-for-first-order-linear-differential-equations-with-deviating-arguments/die/1371669559.pdf","source":{"id":"https://openalex.org/S184577771","display_name":"Differential and Integral Equations","issn_l":"0893-4983","issn":["0893-4983"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-b","jufo-1","norway-1","poland-70","russia-white-list-1"],"host_organization":"https://openalex.org/P4327876852","host_organization_name":"Khayyam Publishing","host_organization_lineage":["https://openalex.org/P4327876852"],"host_organization_lineage_names":["Khayyam Publishing"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Differential and Integral Equations","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://projecteuclid.org/journals/differential-and-integral-equations/volume-1/issue-3/Oscillation-for-first-order-linear-differential-equations-with-deviating-arguments/die/1371669559.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5018703593","display_name":"Lynn Erbe","orcid":"https://orcid.org/0000-0002-9644-0160","observed_orcids":["https://orcid.org/0000-0002-9644-0160"]},"institutions":[{"id":"https://openalex.org/I154425047","display_name":"University of Alberta","ror":"https://ror.org/0160cpw27","country_code":"CA","type":"education","lineage":["https://openalex.org/I154425047"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"L. H. Erbe","raw_affiliation_strings":["Department of Mathematics, University of Alberta Edmonton, Alberta (T6G 2Gl) Canada","Research","Research supported","Qingdao, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Alberta Edmonton, Alberta (T6G 2Gl) Canada","institution_ids":["https://openalex.org/I154425047"]},{"raw_affiliation_string":"Research","institution_ids":[]},{"raw_affiliation_string":"Research supported","institution_ids":[]},{"raw_affiliation_string":"Qingdao, China","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5064186384","display_name":"B. G. Zhang","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I154425047","display_name":"University of Alberta","ror":"https://ror.org/0160cpw27","country_code":"CA","type":"education","lineage":["https://openalex.org/I154425047"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"B. G. Zhang","raw_affiliation_strings":["Research supported","Department of Mathematics, University of Alberta Edmonton, Alberta (T6G 2Gl) Canada","Qingdao, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Research supported","institution_ids":[]},{"raw_affiliation_string":"Department of Mathematics, University of Alberta Edmonton, Alberta (T6G 2Gl) Canada","institution_ids":["https://openalex.org/I154425047"]},{"raw_affiliation_string":"Qingdao, China","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I154425047"],"apc_list":null,"apc_paid":null,"fwci":1.6752,"has_fulltext":true,"cited_by_count":75,"citation_normalized_percentile":{"value":0.8028448,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":98},"biblio":{"volume":"1","issue":"3","first_page":"305","last_page":"314"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10541","display_name":"Nonlinear Differential Equations Analysis","score":0.9984999895095825,"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/T10541","display_name":"Nonlinear Differential Equations Analysis","score":0.9984999895095825,"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/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.0003000000142492354,"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"}},{"id":"https://openalex.org/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.00019999999494757503,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/oscillations","display_name":"oscillations","score":0.8960000276565552},{"id":"https://openalex.org/keywords/first-order-linear-differential-equations","display_name":"first-order linear differential equations","score":0.9729999899864197},{"id":"https://openalex.org/keywords/deviating-arguments","display_name":"deviating arguments","score":0.9829999804496765},{"id":"https://openalex.org/keywords/delay-differential-equations","display_name":"delay differential equations","score":0.9860000014305115},{"id":"https://openalex.org/keywords/neutral-differential-equations","display_name":"neutral differential equations","score":0.9990000128746033},{"id":"https://openalex.org/keywords/forced-oscillations","display_name":"forced oscillations","score":0.9020000100135803},{"id":"https://openalex.org/keywords/sufficient-conditions-for-oscillation","display_name":"sufficient conditions for oscillation","score":0.8859999775886536}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8548339009284973},{"id":"https://openalex.org/C2778439541","wikidata":"https://www.wikidata.org/wiki/Q7106412","display_name":"Oscillation (cell signaling)","level":2,"score":0.6987196207046509},{"id":"https://openalex.org/C13982400","wikidata":"https://www.wikidata.org/wiki/Q1129902","display_name":"Linear differential equation","level":3,"score":0.6185610294342041},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.570787250995636},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.44364020228385925},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4237402379512787},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.3781437277793884},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.031964272260665894},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.57262/die/1371669559","doi":"https://doi.org/10.57262/die/1371669559","is_oa":true,"landing_page_url":"https://doi.org/10.57262/die/1371669559","pdf_url":"https://projecteuclid.org/journals/differential-and-integral-equations/volume-1/issue-3/Oscillation-for-first-order-linear-differential-equations-with-deviating-arguments/die/1371669559.pdf","source":{"id":"https://openalex.org/S184577771","display_name":"Differential and Integral Equations","issn_l":"0893-4983","issn":["0893-4983"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-b","jufo-1","norway-1","poland-70","russia-white-list-1"],"host_organization":"https://openalex.org/P4327876852","host_organization_name":"Khayyam Publishing","host_organization_lineage":["https://openalex.org/P4327876852"],"host_organization_lineage_names":["Khayyam Publishing"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Differential and Integral Equations","raw_type":"journal-article"},{"id":"pmh:oai:CULeuclid:euclid.die/1371669559","doi":null,"is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.die/1371669559","pdf_url":null,"source":{"id":"https://openalex.org/S4306400787","display_name":"Project Euclid (Cornell University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.57262/die/1371669559","doi":"https://doi.org/10.57262/die/1371669559","is_oa":true,"landing_page_url":"https://doi.org/10.57262/die/1371669559","pdf_url":"https://projecteuclid.org/journals/differential-and-integral-equations/volume-1/issue-3/Oscillation-for-first-order-linear-differential-equations-with-deviating-arguments/die/1371669559.pdf","source":{"id":"https://openalex.org/S184577771","display_name":"Differential and Integral Equations","issn_l":"0893-4983","issn":["0893-4983"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-b","jufo-1","norway-1","poland-70","russia-white-list-1"],"host_organization":"https://openalex.org/P4327876852","host_organization_name":"Khayyam Publishing","host_organization_lineage":["https://openalex.org/P4327876852"],"host_organization_lineage_names":["Khayyam Publishing"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Differential and Integral Equations","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320334593","display_name":"Natural Sciences and Engineering Research Council of Canada","ror":"https://ror.org/01h531d29"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1588923958.pdf","grobid_xml":"https://content.openalex.org/works/W1588923958.grobid-xml"},"referenced_works_count":7,"referenced_works":["https://openalex.org/W597277152","https://openalex.org/W1603538329","https://openalex.org/W1751097916","https://openalex.org/W1971345443","https://openalex.org/W1981435304","https://openalex.org/W2100135778","https://openalex.org/W2323813375"],"related_works":["https://openalex.org/W2092318487","https://openalex.org/W2037727161","https://openalex.org/W2991161851","https://openalex.org/W2017401936","https://openalex.org/W2599017774","https://openalex.org/W3187914945","https://openalex.org/W2808543541","https://openalex.org/W7070104144","https://openalex.org/W2057311906","https://openalex.org/W2762921400"],"abstract_inverted_index":{"Some":[0],"new":[1],"sufficient":[2],"conditions":[3],"for":[4,23],"oscillation":[5,22],"of":[6],"first":[7,24],"order":[8,25],"linear":[9],"delay":[10],"differential":[11,17,26],"equations,":[12],"as":[13,15],"well":[14],"neutral":[16],"equations":[18,27],"have":[19],"been":[20,32],"obtained.Forced":[21],"with":[28],"deviating":[29],"arguments":[30],"has":[31],"studied":[33],"also.":[34]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":6},{"year":2018,"cited_by_count":6},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":5},{"year":2015,"cited_by_count":6},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2016-06-24T00:00:00"}