{"title":"AN OPTIMIZATION PROBLEM FOR AN nth ORDER SCALAR NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATION WITH FUNCTIONAL SIDE CONDITIONS","authors":"M. Jacobs","doi":"10.1016/B978-0-12-627250-5.50024-1","DOIUrl":"https://doi.org/10.1016/B978-0-12-627250-5.50024-1","url":null,"abstract":"","PeriodicalId":175822,"journal":{"name":"Functional differential equations","volume":"23 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115044124","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"FROM STANDARD APPROACH TO ODE NEURAL NETWORKS","authors":"I. Volinsky, O Ifrach, Y Loewenstern","doi":"10.26351/FDE/27/1-2/3","DOIUrl":"https://doi.org/10.26351/FDE/27/1-2/3","url":null,"abstract":"","PeriodicalId":175822,"journal":{"name":"Functional differential equations","volume":"34 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121582072","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"CONSTRUCTIVE STUDY OF CONTROLLABILITY FOR A CLASS OF CONTINUOUS-DISCRETE SYSTEMS WITH AN UNCERTAINTY","authors":"V. Maksimov","doi":"10.26351/fde/29/3-4/5","DOIUrl":"https://doi.org/10.26351/fde/29/3-4/5","url":null,"abstract":"","PeriodicalId":175822,"journal":{"name":"Functional differential equations","volume":"55 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126227426","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
G. Chatzarakis, R. Kanagasabapathi R. Kanagasabapathi, S. Selvarangam, E. Thandapani
{"title":"MODIFIED OSCILLATION CRITERIA OF SECOND-ORDER NEUTRAL DIFFERENCE EQUATIONS","authors":"G. Chatzarakis, R. Kanagasabapathi R. Kanagasabapathi, S. Selvarangam, E. Thandapani","doi":"10.26351/FDE/28/1-2/2","DOIUrl":"https://doi.org/10.26351/FDE/28/1-2/2","url":null,"abstract":"In this paper we shall consider a class of second-order nonlinear difference equations with a negative neutral term. Some new oscillation criteria are obtained via Riccati transformation technique. These criteria improve and modify the existing results mentioned in the literature. Some examples are given to show the applicability and significance of the main results.","PeriodicalId":175822,"journal":{"name":"Functional differential equations","volume":"85 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126236568","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"THE INFINITE TIME QUADRATIC COST PROBLEM FOR CERTAIN CLASSES OF INFINITE DIMENSIONAL CONTROL SYSTEMS","authors":"S. Mitter","doi":"10.1016/B978-0-12-627250-5.50016-2","DOIUrl":"https://doi.org/10.1016/B978-0-12-627250-5.50016-2","url":null,"abstract":"","PeriodicalId":175822,"journal":{"name":"Functional differential equations","volume":"115 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129876312","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"BASIC FREQUENCY PERIODIC MOTIONS IN NONCOMPACT DYNAMICAL PROCESSES","authors":"G. S. Jones","doi":"10.1016/B978-0-12-627250-5.50011-3","DOIUrl":"https://doi.org/10.1016/B978-0-12-627250-5.50011-3","url":null,"abstract":"","PeriodicalId":175822,"journal":{"name":"Functional differential equations","volume":"9 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121324483","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"ASYMPTOTIC STABILITY AND PERTURBATIONS FOR LINEAR VOLTERRA INTEGRODIFFERENTIAL SYSTEMS","authors":"Richard K. Miller","doi":"10.1016/B978-0-12-627250-5.50015-0","DOIUrl":"https://doi.org/10.1016/B978-0-12-627250-5.50015-0","url":null,"abstract":"","PeriodicalId":175822,"journal":{"name":"Functional differential equations","volume":"457-458 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116813960","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
K. Saranya, V. PIRAMANANTHAM, E. Thandapani, E. TUNC
{"title":"ASYMPTOTIC BEHAVIOR OF KNESER’S SOLUTION FOR SEMI-CANONICAL THIRD-ORDER HALF-LINEAR ADVANCED NEUTRAL DIFFERENTIAL EQUATIONS","authors":"K. Saranya, V. PIRAMANANTHAM, E. Thandapani, E. TUNC","doi":"10.26351/fde/29/1-2/6","DOIUrl":"https://doi.org/10.26351/fde/29/1-2/6","url":null,"abstract":"In this paper, we study the properties of positive solutions of the thirdorder neutral differential equations with advanced argument of the form (p(t)(q(t)(z′(t))α)′)′ + f(t)xα(τ (t)) = 0, where z(t) = x(t) + g(t)(x(σ(t))). First we obtain conditions for the existence of Kneser type solutions and then provide lower and upper estimate that yield the rate of convergence to zero of such solutions. An example is provided to illustrate the importance of the main results.","PeriodicalId":175822,"journal":{"name":"Functional differential equations","volume":"77 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114843882","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"ON ASYMPTOTIC BEHAVIOR OF BOUNDED SOLUTIONS TO SECOND ORDER DIFFERENTIAL EQUATIONS WITH GENERAL POWER-LAW NONLINEARITY","authors":"T. Korchemkina","doi":"10.26351/fde/28/3-4/3","DOIUrl":"https://doi.org/10.26351/fde/28/3-4/3","url":null,"abstract":"","PeriodicalId":175822,"journal":{"name":"Functional differential equations","volume":"54 18 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134591063","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}