{"id":"https://openalex.org/W2268359792","doi":null,"title":"OSCILLATION CRITERIA FOR SECOND ORDER NONLINEAR NEUTRAL DELAY DIFFERENTIAL EQUATIONS WITH POSITIVE AND NEGATIVE COEFFICIENTS","display_name":"OSCILLATION CRITERIA FOR SECOND ORDER NONLINEAR NEUTRAL DELAY DIFFERENTIAL EQUATIONS WITH POSITIVE AND NEGATIVE COEFFICIENTS","publication_year":2011,"publication_date":"2011-01-01","ids":{"openalex":"https://openalex.org/W2268359792","mag":"2268359792"},"language":"en","primary_location":{"id":"mag:2268359792","doi":null,"is_oa":false,"landing_page_url":"https://www.ijpam.eu/contents/2011-70-2/9/9.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S2764510598","display_name":"International Journal of Pure and Apllied Mathematics","issn_l":"1314-3395","issn":["1314-3395","1311-8080"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core"],"host_organization":"https://openalex.org/P4323293545","host_organization_name":"Academic Publications","host_organization_lineage":["https://openalex.org/P4323293545"],"host_organization_lineage_names":["Academic Publications"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":"International Journal of Pure and Apllied Mathematics","raw_type":null},"volume":null,"type":"article","is_traditional":true,"indexed_in":[],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5091738538","display_name":"E. Thandapani","orcid":"https://orcid.org/0000-0001-6801-4191","observed_orcids":["https://orcid.org/0000-0001-6801-4191"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"E. Thandapani","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5065594158","display_name":"Velu Muthulakshmi","orcid":"https://orcid.org/0000-0003-0125-5032","observed_orcids":["https://orcid.org/0000-0003-0125-5032"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Velu Muthulakshmi","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0003-0125-5032","affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5055430742","display_name":"John R. Graef","orcid":"https://orcid.org/0000-0002-8149-4633","observed_orcids":["https://orcid.org/0000-0002-8149-4633"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"John R. Graef","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0002-8149-4633","affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.3311,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.46805596,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":93},"biblio":{"volume":"70","issue":"2","first_page":"261","last_page":"274"},"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/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.00019999999494757503,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":9.999999747378752e-05,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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-criteria","display_name":"oscillation criteria","score":0.9649999737739563},{"id":"https://openalex.org/keywords/second-order-nonlinear-differential-equations","display_name":"second-order nonlinear differential equations","score":0.8880000114440918},{"id":"https://openalex.org/keywords/neutral-delay-differential-equations","display_name":"neutral delay differential equations","score":0.9779999852180481},{"id":"https://openalex.org/keywords/positive-and-negative-coefficients","display_name":"positive and negative coefficients","score":0.9909999966621399}],"concepts":[{"id":"https://openalex.org/C2778439541","wikidata":"https://www.wikidata.org/wiki/Q7106412","display_name":"Oscillation (cell signaling)","level":2,"score":0.8412672281265259},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.7082700729370117},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.6588435173034668},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6146316528320312},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4933721125125885},{"id":"https://openalex.org/C147504518","wikidata":"https://www.wikidata.org/wiki/Q2146125","display_name":"Delay differential equation","level":3,"score":0.4879243075847626},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.41425585746765137},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.38515669107437134},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.1032780110836029},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.05611416697502136},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","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},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"mag:2268359792","doi":null,"is_oa":false,"landing_page_url":"https://www.ijpam.eu/contents/2011-70-2/9/9.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S2764510598","display_name":"International Journal of Pure and Apllied Mathematics","issn_l":"1314-3395","issn":["1314-3395","1311-8080"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core"],"host_organization":"https://openalex.org/P4323293545","host_organization_name":"Academic Publications","host_organization_lineage":["https://openalex.org/P4323293545"],"host_organization_lineage_names":["Academic Publications"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":"International Journal of Pure and Apllied Mathematics","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W170250929","https://openalex.org/W610742528","https://openalex.org/W1432937839","https://openalex.org/W2002019337","https://openalex.org/W2013282947","https://openalex.org/W2064877268","https://openalex.org/W2118767676","https://openalex.org/W2150388700","https://openalex.org/W2153390404","https://openalex.org/W2646234321"],"related_works":["https://openalex.org/W2150388700","https://openalex.org/W819494771","https://openalex.org/W2136595220","https://openalex.org/W2348614302","https://openalex.org/W2153390404","https://openalex.org/W2036051248","https://openalex.org/W2367485383","https://openalex.org/W4220853111","https://openalex.org/W2144549372","https://openalex.org/W2995297426"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"the":[3,10,15,63],"authors":[4],"established":[5],"some":[6],"sufficient":[7],"conditions":[8],"for":[9],"oscillation":[11],"of":[12,58],"all":[13],"solutions":[14],"second":[16],"order":[17],"nonlinear":[18],"neutral":[19],"delay":[20],"dif-":[21],"ferential":[22],"equations":[23],"with":[24],"positive":[25],"and":[26],"negative":[27],"coefficients":[28],"h":[29],"r(t)(x(t)":[30],"\ufffd":[31,34,46],"c(t)h(x(t":[32],"\u2212":[33,41,43,45],")))":[35],"0":[36,38],"i":[37],"+":[39],"p(t)f(x(t":[40],"\ufffd))":[42],"q(t)g(x(t":[44],"))":[47],"=":[48],"0:":[49],"They":[50],"also":[51],"extended":[52],"these":[53],"results":[54,65],"to":[55],"certain":[56],"types":[57],"forced":[59],"equations.":[60],"Examples":[61],"illustrating":[62],"main":[64],"are":[66],"given.":[67]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2026-09-21T07:43:02.447757","created_date":"2016-06-24T00:00:00"}
