{"id":"https://openalex.org/W4386141533","doi":"https://doi.org/10.3390/sym15091630","title":"New Oscillation Theorems for Second-Order Superlinear Neutral Differential Equations with Variable Damping Terms","display_name":"New Oscillation Theorems for Second-Order Superlinear Neutral Differential Equations with Variable Damping Terms","publication_year":2023,"publication_date":"2023-08-24","ids":{"openalex":"https://openalex.org/W4386141533","doi":"https://doi.org/10.3390/sym15091630"},"language":"en","primary_location":{"id":"doi:10.3390/sym15091630","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym15091630","pdf_url":"https://www.mdpi.com/2073-8994/15/9/1630/pdf?version=1692861189","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/2073-8994/15/9/1630/pdf?version=1692861189","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5092046926","display_name":"Munirah Aldiaiji","orcid":null},"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":"Munirah Aldiaiji","raw_affiliation_strings":["Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt","institution_ids":["https://openalex.org/I159247623"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5019347203","display_name":"Belgees Qaraad","orcid":"https://orcid.org/0000-0002-2115-0791"},"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":true,"raw_author_name":"Belgees Qaraad","raw_affiliation_strings":["Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt","institution_ids":["https://openalex.org/I159247623"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5075452466","display_name":"Loredana Florentina Iambor","orcid":"https://orcid.org/0000-0001-8845-3095"},"institutions":[{"id":"https://openalex.org/I162871001","display_name":"University of Oradea","ror":"https://ror.org/00wzhv093","country_code":"RO","type":"education","lineage":["https://openalex.org/I162871001"]}],"countries":["RO"],"is_corresponding":true,"raw_author_name":"Loredana Florentina Iambor","raw_affiliation_strings":["Department of Mathematics and Computer Science, University of Oradea, 1 University Street, 410087 Oradea, Romania"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, University of Oradea, 1 University Street, 410087 Oradea, Romania","institution_ids":["https://openalex.org/I162871001"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5085382303","display_name":"Elmetwally M. Elabbasy","orcid":"https://orcid.org/0000-0002-9864-3615"},"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":"Elmetwally M. Elabbasy","raw_affiliation_strings":["Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt"],"raw_orcid":null,"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":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5019347203","https://openalex.org/A5075452466"],"corresponding_institution_ids":["https://openalex.org/I159247623","https://openalex.org/I162871001"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":8.6424,"has_fulltext":true,"cited_by_count":18,"citation_normalized_percentile":{"value":0.98721783,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"15","issue":"9","first_page":"1630","last_page":"1630"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10541","display_name":"Nonlinear Differential Equations Analysis","score":0.9998000264167786,"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":0.9998000264167786,"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":0.9991999864578247,"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/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9991000294685364,"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":0.7365053296089172},{"id":"https://openalex.org/keywords/term","display_name":"Term (time)","score":0.7220619916915894},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.60445636510849},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5992318391799927},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.5952405333518982},{"id":"https://openalex.org/keywords/symmetry","display_name":"Symmetry (geometry)","score":0.5697773694992065},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5594049692153931},{"id":"https://openalex.org/keywords/transformation","display_name":"Transformation (genetics)","score":0.5493332147598267},{"id":"https://openalex.org/keywords/variable","display_name":"Variable (mathematics)","score":0.5088849067687988},{"id":"https://openalex.org/keywords/riccati-equation","display_name":"Riccati equation","score":0.4918539524078369},{"id":"https://openalex.org/keywords/differential","display_name":"Differential (mechanical device)","score":0.42394495010375977},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3926811218261719},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2928110957145691},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.05112379789352417}],"concepts":[{"id":"https://openalex.org/C2778439541","wikidata":"https://www.wikidata.org/wiki/Q7106412","display_name":"Oscillation (cell signaling)","level":2,"score":0.7365053296089172},{"id":"https://openalex.org/C61797465","wikidata":"https://www.wikidata.org/wiki/Q1188986","display_name":"Term (time)","level":2,"score":0.7220619916915894},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.60445636510849},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5992318391799927},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.5952405333518982},{"id":"https://openalex.org/C2779886137","wikidata":"https://www.wikidata.org/wiki/Q21030012","display_name":"Symmetry (geometry)","level":2,"score":0.5697773694992065},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5594049692153931},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.5493332147598267},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.5088849067687988},{"id":"https://openalex.org/C45473103","wikidata":"https://www.wikidata.org/wiki/Q851503","display_name":"Riccati equation","level":3,"score":0.4918539524078369},{"id":"https://openalex.org/C93226319","wikidata":"https://www.wikidata.org/wiki/Q193137","display_name":"Differential (mechanical device)","level":2,"score":0.42394495010375977},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3926811218261719},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2928110957145691},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.05112379789352417},{"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/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","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},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"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/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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3390/sym15091630","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym15091630","pdf_url":"https://www.mdpi.com/2073-8994/15/9/1630/pdf?version=1692861189","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:10ba6119c2b54e189320a15ddafe3443","is_oa":false,"landing_page_url":"https://doaj.org/article/10ba6119c2b54e189320a15ddafe3443","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Symmetry, Vol 15, Iss 9, p 1630 (2023)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/2073-8994/15/9/1630/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/sym15091630","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/sym15091630","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym15091630","pdf_url":"https://www.mdpi.com/2073-8994/15/9/1630/pdf?version=1692861189","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":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4386141533.pdf"},"referenced_works_count":30,"referenced_works":["https://openalex.org/W1892917588","https://openalex.org/W1976267013","https://openalex.org/W2016342440","https://openalex.org/W2032207722","https://openalex.org/W2073949697","https://openalex.org/W2080097322","https://openalex.org/W2139698307","https://openalex.org/W2142241858","https://openalex.org/W2151813854","https://openalex.org/W2160536148","https://openalex.org/W2260653894","https://openalex.org/W2511176596","https://openalex.org/W2560026810","https://openalex.org/W2606796707","https://openalex.org/W2792285426","https://openalex.org/W2917522013","https://openalex.org/W3007211324","https://openalex.org/W3030742673","https://openalex.org/W3092157252","https://openalex.org/W3092218682","https://openalex.org/W3195480719","https://openalex.org/W4306772737","https://openalex.org/W6654258214","https://openalex.org/W6654266970","https://openalex.org/W6658412414","https://openalex.org/W6680601838","https://openalex.org/W6682383717","https://openalex.org/W6725351424","https://openalex.org/W6760504552","https://openalex.org/W6773880708"],"related_works":["https://openalex.org/W3210114745","https://openalex.org/W2123585262","https://openalex.org/W2937301577","https://openalex.org/W2062635734","https://openalex.org/W3158420315","https://openalex.org/W3160917256","https://openalex.org/W3176473605","https://openalex.org/W2367945514","https://openalex.org/W2356614427","https://openalex.org/W2072100489"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3,67],"investigate":[4],"the":[5,34,51,58,64,74,81],"oscillatory":[6],"behavior":[7],"of":[8,10,44,63,76],"solutions":[9,62,78],"second-order":[11],"differential":[12],"equations":[13,45],"with":[14],"a":[15,20],"superlinear":[16],"neutral":[17],"term":[18,22],"and":[19,60,84],"damping":[21,35],"in":[23],"noncanonical":[24],"forms.":[25],"We":[26,87],"do":[27],"not":[28,48],"place":[29],"any":[30],"additional":[31],"conditions":[32],"on":[33],"term.":[36],"Therefore,":[37],"our":[38,93],"results":[39],"apply":[40],"to":[41,55,91],"new":[42,70],"classes":[43],"that":[46,72],"were":[47],"covered":[49],"by":[50,79],"previous":[52],"criteria.":[53],"According":[54],"symmetry":[56],"between":[57],"negative":[59],"positive":[61],"studied":[65],"equation,":[66],"present":[68],"some":[69],"criteria":[71],"ensure":[73],"oscillation":[75],"all":[77],"using":[80],"Riccati":[82],"transformation":[83],"comparison":[85],"method.":[86],"provide":[88],"an":[89],"example":[90],"illustrate":[92],"main":[94],"results.":[95]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":12},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
