{"id":"https://openalex.org/W1977750556","doi":"https://doi.org/10.1016/s0096-3003(99)00268-4","title":"Necessary and sufficient conditions for oscillation of neutral delay parabolic differential equations","display_name":"Necessary and sufficient conditions for oscillation of neutral delay parabolic differential equations","publication_year":2001,"publication_date":"2001-06-01","ids":{"openalex":"https://openalex.org/W1977750556","doi":"https://doi.org/10.1016/s0096-3003(99)00268-4","mag":"1977750556"},"language":"en","primary_location":{"id":"doi:10.1016/s0096-3003(99)00268-4","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0096-3003(99)00268-4","pdf_url":null,"source":{"id":"https://openalex.org/S50372074","display_name":"Applied Mathematics and Computation","issn_l":"0096-3003","issn":["0096-3003","1873-5649"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applied Mathematics and Computation","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"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/A5047836233","display_name":"Wei Li","orcid":"https://orcid.org/0000-0001-6496-6160"},"institutions":[{"id":"https://openalex.org/I4210119675","display_name":"Binzhou Technician College","ror":"https://ror.org/0274zyn92","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210119675"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Wei Nian Li","raw_affiliation_strings":["Department of Mathematics, Binzhou Normal College, Shandong 256604, People's Republic of China","Department of Mathematics, Binzhou Normal College, Shandong 256604, People's Republic of China#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Binzhou Normal College, Shandong 256604, People's Republic of China","institution_ids":["https://openalex.org/I4210119675"]},{"raw_affiliation_string":"Department of Mathematics, Binzhou Normal College, Shandong 256604, People's Republic of China#TAB#","institution_ids":["https://openalex.org/I4210119675"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5111600429","display_name":"Bao Tong Cui","orcid":"https://orcid.org/0009-0002-9582-926X"},"institutions":[{"id":"https://openalex.org/I4210119675","display_name":"Binzhou Technician College","ror":"https://ror.org/0274zyn92","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210119675"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Bao Tong Cui","raw_affiliation_strings":["Department of Mathematics, Binzhou Normal College, Shandong 256604, People's Republic of China","Department of Mathematics, Binzhou Normal College, Shandong 256604, People's Republic of China#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Binzhou Normal College, Shandong 256604, People's Republic of China","institution_ids":["https://openalex.org/I4210119675"]},{"raw_affiliation_string":"Department of Mathematics, Binzhou Normal College, Shandong 256604, People's Republic of China#TAB#","institution_ids":["https://openalex.org/I4210119675"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5047836233"],"corresponding_institution_ids":["https://openalex.org/I4210119675"],"apc_list":{"value":3550,"currency":"USD","value_usd":3550},"apc_paid":null,"fwci":1.3907,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.79858789,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"121","issue":"2-3","first_page":"147","last_page":"153"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9926999807357788,"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/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.984000027179718,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/oscillation","display_name":"Oscillation (cell signaling)","score":0.7177983522415161},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6644986271858215},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.636901319026947},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.6178249716758728},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.6168522238731384},{"id":"https://openalex.org/keywords/piecewise","display_name":"Piecewise","score":0.6032280921936035},{"id":"https://openalex.org/keywords/euclidean-space","display_name":"Euclidean space","score":0.5349608063697815},{"id":"https://openalex.org/keywords/parabolic-partial-differential-equation","display_name":"Parabolic partial differential equation","score":0.49427056312561035},{"id":"https://openalex.org/keywords/laplace-operator","display_name":"Laplace operator","score":0.48787522315979004},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.48620977997779846},{"id":"https://openalex.org/keywords/delay-differential-equation","display_name":"Delay differential equation","score":0.4674822688102722},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.4561367332935333},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.4117041230201721},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.3580268323421478}],"concepts":[{"id":"https://openalex.org/C2778439541","wikidata":"https://www.wikidata.org/wiki/Q7106412","display_name":"Oscillation (cell signaling)","level":2,"score":0.7177983522415161},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6644986271858215},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.636901319026947},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.6178249716758728},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.6168522238731384},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.6032280921936035},{"id":"https://openalex.org/C186450821","wikidata":"https://www.wikidata.org/wiki/Q17295","display_name":"Euclidean space","level":2,"score":0.5349608063697815},{"id":"https://openalex.org/C186867907","wikidata":"https://www.wikidata.org/wiki/Q1575416","display_name":"Parabolic partial differential equation","level":3,"score":0.49427056312561035},{"id":"https://openalex.org/C165700671","wikidata":"https://www.wikidata.org/wiki/Q203484","display_name":"Laplace operator","level":2,"score":0.48787522315979004},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.48620977997779846},{"id":"https://openalex.org/C147504518","wikidata":"https://www.wikidata.org/wiki/Q2146125","display_name":"Delay differential equation","level":3,"score":0.4674822688102722},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.4561367332935333},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.4117041230201721},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3580268323421478},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","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/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/s0096-3003(99)00268-4","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0096-3003(99)00268-4","pdf_url":null,"source":{"id":"https://openalex.org/S50372074","display_name":"Applied Mathematics and Computation","issn_l":"0096-3003","issn":["0096-3003","1873-5649"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applied Mathematics and Computation","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W610742528","https://openalex.org/W2013531218","https://openalex.org/W2027059491","https://openalex.org/W2058965839","https://openalex.org/W2090667312","https://openalex.org/W2168378198","https://openalex.org/W2314380968","https://openalex.org/W7060970359"],"related_works":["https://openalex.org/W2385263368","https://openalex.org/W2347422947","https://openalex.org/W2061292372","https://openalex.org/W2353392568","https://openalex.org/W2377341410","https://openalex.org/W1454600515","https://openalex.org/W328874995","https://openalex.org/W4221155887","https://openalex.org/W2198073128","https://openalex.org/W2374180215"],"abstract_inverted_index":null,"counts_by_year":[{"year":2015,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}