{"id":"https://openalex.org/W3135078218","doi":"https://doi.org/10.3390/sym13030410","title":"Oscillation Results of Emden\u2013Fowler-Type Differential Equations","display_name":"Oscillation Results of Emden\u2013Fowler-Type Differential Equations","publication_year":2021,"publication_date":"2021-03-03","ids":{"openalex":"https://openalex.org/W3135078218","doi":"https://doi.org/10.3390/sym13030410","mag":"3135078218"},"language":"en","primary_location":{"id":"doi:10.3390/sym13030410","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym13030410","pdf_url":"https://www.mdpi.com/2073-8994/13/3/410/pdf?version=1616132497","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"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":"Symmetry","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2073-8994/13/3/410/pdf?version=1616132497","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":true,"raw_author_name":"Omar Bazighifan","raw_affiliation_strings":["Department of Mathematics, Faculty of Science, Hadhramout University, Hadhramout 50512, Yemen"],"raw_orcid":"https://orcid.org/0000-0002-7251-9608","affiliations":[{"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/A5076063109","display_name":"Taher A. Nofal","orcid":"https://orcid.org/0000-0002-4243-9594"},"institutions":[{"id":"https://openalex.org/I179331831","display_name":"Taif University","ror":"https://ror.org/014g1a453","country_code":"SA","type":"education","lineage":["https://openalex.org/I179331831"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"Taher A. Nofal","raw_affiliation_strings":["Department of Mathematics and Statistics, College of Science, Taif University, P.O. Box 11099, Taif 21944, Saudi Arabia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, College of Science, Taif University, P.O. Box 11099, Taif 21944, Saudi Arabia","institution_ids":["https://openalex.org/I179331831"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5083784702","display_name":"Mehmet Yavuz","orcid":"https://orcid.org/0000-0002-3966-6518"},"institutions":[{"id":"https://openalex.org/I4210107659","display_name":"Necmettin Erbakan University","ror":"https://ror.org/013s3zh21","country_code":"TR","type":"education","lineage":["https://openalex.org/I4210107659"]}],"countries":["TR"],"is_corresponding":true,"raw_author_name":"Mehmet Yavuz","raw_affiliation_strings":["Department of Mathematics and Computer Sciences, Necmettin Erbakan University, 42090 Konya, Turkey"],"raw_orcid":"https://orcid.org/0000-0002-3966-6518","affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Sciences, Necmettin Erbakan University, 42090 Konya, Turkey","institution_ids":["https://openalex.org/I4210107659"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5034511816","https://openalex.org/A5083784702"],"corresponding_institution_ids":["https://openalex.org/I319841309","https://openalex.org/I4210107659"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.05653631,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"13","issue":"3","first_page":"410","last_page":"410"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9984999895095825,"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"}},"topics":[{"id":"https://openalex.org/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9984999895095825,"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/T10541","display_name":"Nonlinear Differential Equations Analysis","score":0.9966999888420105,"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/T10288","display_name":"Fractional Differential Equations Solutions","score":0.995199978351593,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"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":0.7188841104507446},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.6521793007850647},{"id":"https://openalex.org/keywords/delay-differential-equation","display_name":"Delay differential equation","score":0.5730109810829163},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.5393097400665283},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.48077481985092163},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.48027777671813965},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4633041024208069},{"id":"https://openalex.org/keywords/differential","display_name":"Differential (mechanical device)","score":0.43926388025283813},{"id":"https://openalex.org/keywords/term","display_name":"Term (time)","score":0.43772751092910767},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4033173620700836},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3705594539642334},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.17105838656425476}],"concepts":[{"id":"https://openalex.org/C2778439541","wikidata":"https://www.wikidata.org/wiki/Q7106412","display_name":"Oscillation (cell signaling)","level":2,"score":0.7188841104507446},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.6521793007850647},{"id":"https://openalex.org/C147504518","wikidata":"https://www.wikidata.org/wiki/Q2146125","display_name":"Delay differential equation","level":3,"score":0.5730109810829163},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.5393097400665283},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.48077481985092163},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.48027777671813965},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4633041024208069},{"id":"https://openalex.org/C93226319","wikidata":"https://www.wikidata.org/wiki/Q193137","display_name":"Differential (mechanical device)","level":2,"score":0.43926388025283813},{"id":"https://openalex.org/C61797465","wikidata":"https://www.wikidata.org/wiki/Q1188986","display_name":"Term (time)","level":2,"score":0.43772751092910767},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4033173620700836},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3705594539642334},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.17105838656425476},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","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":3,"locations":[{"id":"doi:10.3390/sym13030410","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym13030410","pdf_url":"https://www.mdpi.com/2073-8994/13/3/410/pdf?version=1616132497","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"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":"Symmetry","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:15fdc79a8ff444a9826e8e156fd1fbb8","is_oa":true,"landing_page_url":"https://doaj.org/article/15fdc79a8ff444a9826e8e156fd1fbb8","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","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":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Symmetry, Vol 13, Iss 3, p 410 (2021)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/2073-8994/13/3/410/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/sym13030410","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":"Symmetry","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/sym13030410","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym13030410","pdf_url":"https://www.mdpi.com/2073-8994/13/3/410/pdf?version=1616132497","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"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":"Symmetry","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3135078218.pdf","grobid_xml":"https://content.openalex.org/works/W3135078218.grobid-xml"},"referenced_works_count":24,"referenced_works":["https://openalex.org/W572159918","https://openalex.org/W597277152","https://openalex.org/W610742528","https://openalex.org/W1964053806","https://openalex.org/W1968145859","https://openalex.org/W1978596572","https://openalex.org/W2007230090","https://openalex.org/W2023609233","https://openalex.org/W2053221149","https://openalex.org/W2337986764","https://openalex.org/W2561502354","https://openalex.org/W2751179747","https://openalex.org/W2950672687","https://openalex.org/W3004422340","https://openalex.org/W3026596887","https://openalex.org/W3084889420","https://openalex.org/W3102004812","https://openalex.org/W3120134854","https://openalex.org/W3121918627","https://openalex.org/W3127581328","https://openalex.org/W4210960242","https://openalex.org/W4285719527","https://openalex.org/W4290618449","https://openalex.org/W6727240188"],"related_works":["https://openalex.org/W2390991069","https://openalex.org/W2348576774","https://openalex.org/W2362061707","https://openalex.org/W2150987529","https://openalex.org/W2352047463","https://openalex.org/W2386228494","https://openalex.org/W3158420315","https://openalex.org/W3160917256","https://openalex.org/W2073949697","https://openalex.org/W2356614427"],"abstract_inverted_index":{"In":[0],"this":[1],"article,":[2],"we":[3],"obtain":[4],"oscillation":[5],"conditions":[6],"for":[7,23],"second-order":[8],"differential":[9,26],"equation":[10],"with":[11],"neutral":[12,24],"term.":[13],"Our":[14],"results":[15,22],"extend,":[16],"improve,":[17],"and":[18,30],"simplify":[19],"some":[20],"known":[21],"delay":[25],"equations.":[27],"Several":[28],"effective":[29],"illustrative":[31],"implementations":[32],"are":[33],"provided.":[34]},"counts_by_year":[],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2025-10-10T00:00:00"}