{"id":"https://openalex.org/W3102004812","doi":"https://doi.org/10.3390/axioms9040136","title":"Oscillation of Emden\u2013Fowler-Type Neutral Delay Differential Equations","display_name":"Oscillation of Emden\u2013Fowler-Type Neutral Delay Differential Equations","publication_year":2020,"publication_date":"2020-11-20","ids":{"openalex":"https://openalex.org/W3102004812","doi":"https://doi.org/10.3390/axioms9040136","mag":"3102004812"},"language":"en","primary_location":{"id":"doi:10.3390/axioms9040136","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms9040136","pdf_url":"https://www.mdpi.com/2075-1680/9/4/136/pdf?version=1606105217","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/2075-1680/9/4/136/pdf?version=1606105217","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5060231747","display_name":"Shyam Sundar Santra","orcid":"https://orcid.org/0000-0001-9740-3081"},"institutions":[{"id":"https://openalex.org/I77501641","display_name":"University of Kalyani","ror":"https://ror.org/03v783k16","country_code":"IN","type":"education","lineage":["https://openalex.org/I77501641"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"Shyam Sundar Santra","raw_affiliation_strings":["Department of Mathematics, JIS College of Engineering, Kalyani 741235, India"],"raw_orcid":"https://orcid.org/0000-0001-9740-3081","affiliations":[{"raw_affiliation_string":"Department of Mathematics, JIS College of Engineering, Kalyani 741235, India","institution_ids":["https://openalex.org/I77501641"]}]},{"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"]},{"id":"https://openalex.org/I89466785","display_name":"Minia University","ror":"https://ror.org/02hcv4z63","country_code":"EG","type":"education","lineage":["https://openalex.org/I89466785"]}],"countries":["EG","SA"],"is_corresponding":false,"raw_author_name":"Taher A. Nofal","raw_affiliation_strings":["Department of Mathematics, Faculty of Science, Taif University, Taif 21944, KSA, Saudi Arabia","Mathematics Department, Faculty of Science, El- Minia University, El- Minia 61768, Egypt"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, Taif University, Taif 21944, KSA, Saudi Arabia","institution_ids":["https://openalex.org/I179331831"]},{"raw_affiliation_string":"Mathematics Department, Faculty of Science, El- Minia University, El- Minia 61768, Egypt","institution_ids":["https://openalex.org/I89466785"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5063332173","display_name":"Hammad Alotaibi","orcid":"https://orcid.org/0000-0001-5908-4913"},"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":"Hammad Alotaibi","raw_affiliation_strings":["Department of Mathematics, Faculty of Science, Taif University, Taif 21944, KSA, Saudi Arabia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, Taif University, Taif 21944, KSA, Saudi Arabia","institution_ids":["https://openalex.org/I179331831"]}]},{"author_position":"last","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 Education, Seiyun University, Seiyun 50512, Yemen","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 Education, Seiyun University, Seiyun 50512, Yemen","institution_ids":[]},{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, Hadhramout University, Hadhramout 50512, Yemen","institution_ids":["https://openalex.org/I319841309"]}]}],"institutions":[],"countries_distinct_count":4,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5034511816","https://openalex.org/A5060231747"],"corresponding_institution_ids":["https://openalex.org/I319841309","https://openalex.org/I77501641"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":2.6603,"has_fulltext":true,"cited_by_count":11,"citation_normalized_percentile":{"value":0.89928224,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"9","issue":"4","first_page":"136","last_page":"136"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9994999766349792,"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":0.9994999766349792,"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":0.9986000061035156,"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":0.9969000220298767,"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/complement","display_name":"Complement (music)","score":0.7489396333694458},{"id":"https://openalex.org/keywords/oscillation","display_name":"Oscillation (cell signaling)","score":0.742723822593689},{"id":"https://openalex.org/keywords/delay-differential-equation","display_name":"Delay differential equation","score":0.6932989954948425},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.6546981334686279},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5863156318664551},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.567211925983429},{"id":"https://openalex.org/keywords/differential","display_name":"Differential (mechanical device)","score":0.497894287109375},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.4649945795536041},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.46066752076148987},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4601164162158966},{"id":"https://openalex.org/keywords/work","display_name":"Work (physics)","score":0.45455846190452576},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.22809100151062012},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.08740541338920593},{"id":"https://openalex.org/keywords/chemistry","display_name":"Chemistry","score":0.050672322511672974},{"id":"https://openalex.org/keywords/geology","display_name":"Geology","score":0.04798087477684021}],"concepts":[{"id":"https://openalex.org/C112313634","wikidata":"https://www.wikidata.org/wiki/Q7886648","display_name":"Complement (music)","level":5,"score":0.7489396333694458},{"id":"https://openalex.org/C2778439541","wikidata":"https://www.wikidata.org/wiki/Q7106412","display_name":"Oscillation (cell signaling)","level":2,"score":0.742723822593689},{"id":"https://openalex.org/C147504518","wikidata":"https://www.wikidata.org/wiki/Q2146125","display_name":"Delay differential equation","level":3,"score":0.6932989954948425},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.6546981334686279},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5863156318664551},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.567211925983429},{"id":"https://openalex.org/C93226319","wikidata":"https://www.wikidata.org/wiki/Q193137","display_name":"Differential (mechanical device)","level":2,"score":0.497894287109375},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.4649945795536041},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.46066752076148987},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4601164162158966},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.45455846190452576},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.22809100151062012},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.08740541338920593},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.050672322511672974},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.04798087477684021},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C127716648","wikidata":"https://www.wikidata.org/wiki/Q104053","display_name":"Phenotype","level":3,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","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/C188082640","wikidata":"https://www.wikidata.org/wiki/Q1780899","display_name":"Complementation","level":4,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3390/axioms9040136","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms9040136","pdf_url":"https://www.mdpi.com/2075-1680/9/4/136/pdf?version=1606105217","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:165f209c9f5f4162bd989e1c7bcb8d67","is_oa":true,"landing_page_url":"https://doaj.org/article/165f209c9f5f4162bd989e1c7bcb8d67","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":"Axioms, Vol 9, Iss 4, p 136 (2020)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/2075-1680/9/4/136/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/axioms9040136","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 4; Pages: 136","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/axioms9040136","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms9040136","pdf_url":"https://www.mdpi.com/2075-1680/9/4/136/pdf?version=1606105217","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/W3102004812.pdf","grobid_xml":"https://content.openalex.org/works/W3102004812.grobid-xml"},"referenced_works_count":40,"referenced_works":["https://openalex.org/W108990525","https://openalex.org/W2054125127","https://openalex.org/W2073949697","https://openalex.org/W2076457760","https://openalex.org/W2079871064","https://openalex.org/W2082368484","https://openalex.org/W2104632089","https://openalex.org/W2136595220","https://openalex.org/W2139698307","https://openalex.org/W2188765805","https://openalex.org/W2515396411","https://openalex.org/W2622777684","https://openalex.org/W2751107753","https://openalex.org/W2771723920","https://openalex.org/W2790191400","https://openalex.org/W2790962535","https://openalex.org/W2791780185","https://openalex.org/W2884164599","https://openalex.org/W2884395473","https://openalex.org/W2902943087","https://openalex.org/W2931381659","https://openalex.org/W2936051362","https://openalex.org/W2950337186","https://openalex.org/W2976045517","https://openalex.org/W2976835964","https://openalex.org/W3003131895","https://openalex.org/W3036059498","https://openalex.org/W3041464168","https://openalex.org/W3081161473","https://openalex.org/W3084138121","https://openalex.org/W3084889420","https://openalex.org/W3091623062","https://openalex.org/W4297837755","https://openalex.org/W4307768354","https://openalex.org/W6680329627","https://openalex.org/W6726129505","https://openalex.org/W6749196627","https://openalex.org/W6749213845","https://openalex.org/W6753936735","https://openalex.org/W6760527715"],"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":{"In":[0],"this":[1],"work,":[2],"we":[3,34],"consider":[4],"a":[5,25],"type":[6],"of":[7,16,27],"second-order":[8],"functional":[9],"differential":[10],"equations":[11],"and":[12,23],"establish":[13],"qualitative":[14],"properties":[15],"their":[17],"solutions.":[18],"These":[19],"new":[20],"results":[21,28],"complement":[22],"improve":[24],"number":[26],"reported":[29],"in":[30],"the":[31],"literature.":[32],"Finally,":[33],"provide":[35],"an":[36],"example":[37],"that":[38],"illustrates":[39],"our":[40],"results.":[41]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":6}],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2025-10-10T00:00:00"}
