{"id":"https://openalex.org/W3016087381","doi":"https://doi.org/10.3390/axioms9020039","title":"Sufficient Conditions for Oscillation of Fourth-Order Neutral Differential Equations with Distributed Deviating Arguments","display_name":"Sufficient Conditions for Oscillation of Fourth-Order Neutral Differential Equations with Distributed Deviating Arguments","publication_year":2020,"publication_date":"2020-04-11","ids":{"openalex":"https://openalex.org/W3016087381","doi":"https://doi.org/10.3390/axioms9020039","mag":"3016087381"},"language":"en","primary_location":{"id":"doi:10.3390/axioms9020039","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms9020039","pdf_url":"https://www.mdpi.com/2075-1680/9/2/39/pdf?version=1587632127","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2075-1680/9/2/39/pdf?version=1587632127","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5034511816","display_name":"Omar Bazighifan","orcid":"https://orcid.org/0000-0002-7251-9608"},"institutions":[{"id":"https://openalex.org/I319841309","display_name":"Hadhramout University","ror":"https://ror.org/02kv0px94","country_code":"YE","type":"education","lineage":["https://openalex.org/I319841309"]}],"countries":["YE"],"is_corresponding":false,"raw_author_name":"Omar Bazighifan","raw_affiliation_strings":["Department of Mathematics, Faculty of Education, Seiyun University, Hadhramout 50512, Yemen","Department of Mathematics, Faculty of Science, Hadhramout University, Hadhramout 50512, Yemen"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Education, Seiyun University, Hadhramout 50512, Yemen","institution_ids":[]},{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, Hadhramout University, Hadhramout 50512, Yemen","institution_ids":["https://openalex.org/I319841309"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5034901927","display_name":"Feliz Minh\u00f3s","orcid":"https://orcid.org/0000-0002-7485-2500"},"institutions":[{"id":"https://openalex.org/I21803372","display_name":"University of \u00c9vora","ror":"https://ror.org/02gyps716","country_code":"PT","type":"education","lineage":["https://openalex.org/I21803372"]}],"countries":["PT"],"is_corresponding":true,"raw_author_name":"Feliz Minhos","raw_affiliation_strings":["Departamento de Matematica, Escola de Ciencias e Tecnologia, Centro de Investigacao em Matematica e Aplicacoes (CIMA), Instituto de Investigacao e Formacao Avancada, Universidade de Evora, Rua Romao Ramalho, 59, 7000-671 Evora, Portugal"],"affiliations":[{"raw_affiliation_string":"Departamento de Matematica, Escola de Ciencias e Tecnologia, Centro de Investigacao em Matematica e Aplicacoes (CIMA), Instituto de Investigacao e Formacao Avancada, Universidade de Evora, Rua Romao Ramalho, 59, 7000-671 Evora, Portugal","institution_ids":["https://openalex.org/I21803372"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5074973583","display_name":"Osama Moaaz","orcid":"https://orcid.org/0000-0003-3850-1022"},"institutions":[{"id":"https://openalex.org/I159247623","display_name":"Mansoura University","ror":"https://ror.org/01k8vtd75","country_code":"EG","type":"education","lineage":["https://openalex.org/I159247623"]}],"countries":["EG"],"is_corresponding":false,"raw_author_name":"Osama Moaaz","raw_affiliation_strings":["Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt","institution_ids":["https://openalex.org/I159247623"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5034901927"],"corresponding_institution_ids":["https://openalex.org/I21803372"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":1.7542,"has_fulltext":true,"cited_by_count":7,"citation_normalized_percentile":{"value":0.83633014,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"9","issue":"2","first_page":"39","last_page":"39"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10541","display_name":"Nonlinear Differential Equations Analysis","score":0.9990000128746033,"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":0.9990000128746033,"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/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9988999962806702,"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/T11416","display_name":"Numerical methods for differential equations","score":0.9952999949455261,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/oscillation","display_name":"Oscillation (cell signaling)","score":0.8213256001472473},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.6497596502304077},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.56395024061203},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5341514348983765},{"id":"https://openalex.org/keywords/delay-differential-equation","display_name":"Delay differential equation","score":0.472817063331604},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4210386872291565},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.3898225724697113},{"id":"https://openalex.org/keywords/chemistry","display_name":"Chemistry","score":0.04576605558395386}],"concepts":[{"id":"https://openalex.org/C2778439541","wikidata":"https://www.wikidata.org/wiki/Q7106412","display_name":"Oscillation (cell signaling)","level":2,"score":0.8213256001472473},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.6497596502304077},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.56395024061203},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5341514348983765},{"id":"https://openalex.org/C147504518","wikidata":"https://www.wikidata.org/wiki/Q2146125","display_name":"Delay differential equation","level":3,"score":0.472817063331604},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4210386872291565},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3898225724697113},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.04576605558395386},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.3390/axioms9020039","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms9020039","pdf_url":"https://www.mdpi.com/2075-1680/9/2/39/pdf?version=1587632127","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:c76d37fba00641c49a62efbfdd191b07","is_oa":true,"landing_page_url":"https://doaj.org/article/c76d37fba00641c49a62efbfdd191b07","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Axioms, Vol 9, Iss 2, p 39 (2020)","raw_type":"article"},{"id":"pmh:oai:dspace.uevora.pt:10174/28898","is_oa":true,"landing_page_url":"http://hdl.handle.net/10174/28898","pdf_url":null,"source":{"id":"https://openalex.org/S4306401462","display_name":"Repositorio Universidade de \u00c9vora (Universidade de \u00c9vora)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I21803372","host_organization_name":"University of \u00c9vora","host_organization_lineage":["https://openalex.org/I21803372"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"journal article"},{"id":"pmh:oai:mdpi.com:/2075-1680/9/2/39/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/axioms9020039","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Axioms; Volume 9; Issue 2; Pages: 39","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/axioms9020039","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms9020039","pdf_url":"https://www.mdpi.com/2075-1680/9/2/39/pdf?version=1587632127","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3016087381.pdf","grobid_xml":"https://content.openalex.org/works/W3016087381.grobid-xml"},"referenced_works_count":31,"referenced_works":["https://openalex.org/W572159918","https://openalex.org/W1549746015","https://openalex.org/W1972565057","https://openalex.org/W1995182165","https://openalex.org/W2000829938","https://openalex.org/W2006505167","https://openalex.org/W2053221149","https://openalex.org/W2073949697","https://openalex.org/W2079871064","https://openalex.org/W2120201283","https://openalex.org/W2295381585","https://openalex.org/W2753736209","https://openalex.org/W2792285426","https://openalex.org/W2799290197","https://openalex.org/W2913406327","https://openalex.org/W2919899175","https://openalex.org/W2960781791","https://openalex.org/W2963965681","https://openalex.org/W2966927609","https://openalex.org/W2990891767","https://openalex.org/W2999252454","https://openalex.org/W3000721832","https://openalex.org/W3014104367","https://openalex.org/W3014947807","https://openalex.org/W3015041215","https://openalex.org/W3016080410","https://openalex.org/W3023980810","https://openalex.org/W6643264819","https://openalex.org/W6760478479","https://openalex.org/W6766373079","https://openalex.org/W6766586468"],"related_works":["https://openalex.org/W2390991069","https://openalex.org/W2348576774","https://openalex.org/W3168050185","https://openalex.org/W2362061707","https://openalex.org/W2352047463","https://openalex.org/W2150987529","https://openalex.org/W2386228494","https://openalex.org/W2072100489","https://openalex.org/W3160917256","https://openalex.org/W3158420315"],"abstract_inverted_index":{"Some":[0],"new":[1],"sufficient":[2],"conditions":[3],"are":[4],"established":[5],"for":[6],"the":[7,20,75],"oscillation":[8],"of":[9,19,77],"fourth":[10],"order":[11],"neutral":[12],"differential":[13],"equations":[14],"with":[15],"continuously":[16],"distributed":[17],"delay":[18],"form":[21],"r":[22],"t":[23,27,35,41,50,52,57,61,64,67],"N":[24,55],"x":[25,38,56,60,65],"\u2034":[26],"\u03b1":[28],"\u2032":[29],"+":[30,62],"\u222b":[31],"a":[32],"b":[33],"q":[34],",":[36,42,48],"\u03d1":[37,43,45],"\u03b2":[39],"\u03b4":[40],"d":[44],"=":[46,59],"0":[47,53],"where":[49],"\u2265":[51],"and":[54],":":[58],"p":[63],"\u03c6":[66],".":[68],"An":[69],"example":[70],"is":[71],"provided":[72],"to":[73],"show":[74],"importance":[76],"these":[78],"results.":[79]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1}],"updated_date":"2026-04-07T14:57:38.498316","created_date":"2020-04-17T00:00:00"}
