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Öğe Existence of nonoscillatory solutions of first and second order neutral differential equations with distributed deviating arguments(PERGAMON-ELSEVIER SCIENCE LTD, 2010) Candan, T.; Dahiya, R. S.In this paper, we consider the existence of nonoscillatory solutions of variable coefficient first and second-order linear neutral differential equations with distributed deviating arguments. We use the Banach contraction principle to obtain new sufficient conditions for the existence of nonoscillatory solution. (C) 2010 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.Öğe Existence of nonoscillatory solutions of higher order neutral differential equations with distributed deviating arguments(VERSITA, 2013) Candan, T.; Dahiya, R. S.In this work, we consider the existence of nonoscillatory solutions of variable coefficient higher order linear neutral differential equations with distributed deviating arguments. We use the Banach contraction principle to obtain new sufficient conditions, which are weaker than those known, for the existence of nonoscillatory solutions.Öğe On the oscillation of certain mixed neutral equations(PERGAMON-ELSEVIER SCIENCE LTD, 2008) Candan, T.; Dahiya, R. S.Sufficient conditions are obtained for oscillatory behavior of solutions for certain nth-order neutral functional differential equations with distributed deviating arguments. The approach proposed in this work makes it possible to get different results. The results obtained are illustrated with examples. (c) 2007 Elsevier Ltd. All rights reserved.Öğe Positive solutions of first-order neutral differential equations(PERGAMON-ELSEVIER SCIENCE LTD, 2009) Candan, T.; Dahiya, R. S.This work contains positive solution of first-order neutral functional differential equations with distributed deviating arguments. Some sufficient conditions for the existence of positive solutions are obtained. We use the Banach contraction principle to prove our results. (C) 2009 Elsevier Ltd. All rights reserved.Öğe Retarded and mixed neutral functional differential equations with continuous delay(WATAM PRESS, 2007) Candan, T.; Dahiya, R. S.We obtain certain theorems to establish oscillation criteria for the arbitrary order neutral functional differential equation [r(t)[x(t) + integral(b)(a) p(t, mu)x(tau(t, mu))d mu](-1)]' + integral(d)(c) q(t, xi) f (x(sigma(t, xi))) d xi = 0.
