{"id":"https://openalex.org/W4386745355","doi":"https://doi.org/10.3390/axioms12090876","title":"Investigation of the Oscillatory Properties of Solutions of Differential Equations Using Kneser-Type Criteria","display_name":"Investigation of the Oscillatory Properties of Solutions of Differential Equations Using Kneser-Type Criteria","publication_year":2023,"publication_date":"2023-09-13","ids":{"openalex":"https://openalex.org/W4386745355","doi":"https://doi.org/10.3390/axioms12090876"},"language":"en","primary_location":{"id":"doi:10.3390/axioms12090876","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms12090876","pdf_url":"https://www.mdpi.com/2075-1680/12/9/876/pdf?version=1694658138","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/2075-1680/12/9/876/pdf?version=1694658138","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5087443476","display_name":"Yousef Alnafisah","orcid":"https://orcid.org/0000-0002-5412-7432"},"institutions":[{"id":"https://openalex.org/I156216236","display_name":"Qassim University","ror":"https://ror.org/01wsfe280","country_code":"SA","type":"education","lineage":["https://openalex.org/I156216236"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"Yousef Alnafisah","raw_affiliation_strings":["Department of Mathematics, College of Science, Qassim University, Buraydah 51452, Saudi Arabia"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, College of Science, Qassim University, Buraydah 51452, Saudi Arabia","institution_ids":["https://openalex.org/I156216236"]}]},{"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/I156216236","display_name":"Qassim University","ror":"https://ror.org/01wsfe280","country_code":"SA","type":"education","lineage":["https://openalex.org/I156216236"]},{"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","SA"],"is_corresponding":true,"raw_author_name":"Osama Moaaz","raw_affiliation_strings":["Department of Mathematics, College of Science, Qassim University, Buraydah 51452, Saudi Arabia","Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, College of Science, Qassim University, Buraydah 51452, Saudi Arabia","institution_ids":["https://openalex.org/I156216236"]},{"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/A5074973583"],"corresponding_institution_ids":["https://openalex.org/I156216236","https://openalex.org/I159247623"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":0.4113,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.56089414,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"12","issue":"9","first_page":"876","last_page":"876"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9988999962806702,"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"}},"topics":[{"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/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9979000091552734,"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"}},{"id":"https://openalex.org/T10541","display_name":"Nonlinear Differential Equations Analysis","score":0.9965999722480774,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.7065905332565308},{"id":"https://openalex.org/keywords/oscillation","display_name":"Oscillation (cell signaling)","score":0.7043672800064087},{"id":"https://openalex.org/keywords/monotonic-function","display_name":"Monotonic function","score":0.6622166633605957},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.600851833820343},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.5957578420639038},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.4807964861392975},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.45333346724510193},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.44865578413009644},{"id":"https://openalex.org/keywords/delay-differential-equation","display_name":"Delay differential equation","score":0.4124377369880676}],"concepts":[{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.7065905332565308},{"id":"https://openalex.org/C2778439541","wikidata":"https://www.wikidata.org/wiki/Q7106412","display_name":"Oscillation (cell signaling)","level":2,"score":0.7043672800064087},{"id":"https://openalex.org/C72169020","wikidata":"https://www.wikidata.org/wiki/Q194404","display_name":"Monotonic function","level":2,"score":0.6622166633605957},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.600851833820343},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.5957578420639038},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.4807964861392975},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.45333346724510193},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.44865578413009644},{"id":"https://openalex.org/C147504518","wikidata":"https://www.wikidata.org/wiki/Q2146125","display_name":"Delay differential equation","level":3,"score":0.4124377369880676},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","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},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","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/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3390/axioms12090876","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms12090876","pdf_url":"https://www.mdpi.com/2075-1680/12/9/876/pdf?version=1694658138","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:e0c73424a4be4655a7f75122c53ad66a","is_oa":true,"landing_page_url":"https://doaj.org/article/e0c73424a4be4655a7f75122c53ad66a","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","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Axioms, Vol 12, Iss 9, p 876 (2023)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/axioms12090876","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms12090876","pdf_url":"https://www.mdpi.com/2075-1680/12/9/876/pdf?version=1694658138","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":[{"id":"https://openalex.org/F4320324403","display_name":"Qassim University","ror":"https://ror.org/01wsfe280"}],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4386745355.pdf"},"referenced_works_count":24,"referenced_works":["https://openalex.org/W572159918","https://openalex.org/W607066590","https://openalex.org/W1964240948","https://openalex.org/W1988504596","https://openalex.org/W1992110793","https://openalex.org/W1994975281","https://openalex.org/W2004099014","https://openalex.org/W2019602482","https://openalex.org/W2055067428","https://openalex.org/W2073948703","https://openalex.org/W2079871064","https://openalex.org/W2122778633","https://openalex.org/W2165076427","https://openalex.org/W2917522013","https://openalex.org/W2995153360","https://openalex.org/W3018896980","https://openalex.org/W3088490827","https://openalex.org/W3184485343","https://openalex.org/W3187585064","https://openalex.org/W4319316348","https://openalex.org/W4382722246","https://openalex.org/W4388215494","https://openalex.org/W6683867241","https://openalex.org/W6760504552"],"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":{"This":[0,13],"study":[1,70,93],"investigates":[2],"the":[3,28,48,51,58,64,69,72,84,89,92],"oscillatory":[4],"properties":[5],"of":[6,36,50,63,71,74,79,83,94,97],"a":[7,43,95],"fourth-order":[8],"delay":[9],"functional":[10,80],"differential":[11,81],"equation.":[12],"study\u2019s":[14],"methodology":[15],"is":[16],"built":[17],"around":[18],"two":[19],"key":[20],"tenets.":[21],"First,":[22],"we":[23],"propose":[24],"optimized":[25],"relationships":[26],"between":[27],"solution":[29],"and":[30],"its":[31],"derivatives":[32],"by":[33],"making":[34],"use":[35],"some":[37,55],"improved":[38],"monotonic":[39],"features.":[40],"By":[41],"using":[42],"comparison":[44],"technique":[45],"to":[46],"connect":[47],"oscillation":[49,73],"studied":[52],"equation":[53],"with":[54],"second-order":[56,75],"equations,":[57],"second":[59],"aspect":[60],"takes":[61],"advantage":[62],"significant":[65],"progress":[66],"made":[67],"in":[68],"equations.":[76,99],"Numerous":[77],"applications":[78],"equations":[82],"neutral":[85],"type":[86],"served":[87],"as":[88],"inspiration":[90],"for":[91],"subclass":[96],"these":[98]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2026-02-28T09:26:25.869077","created_date":"2025-10-10T00:00:00"}
