[PDF] Top 20 Oscillatory Behavior of Solutions of Certain Fourth-Order Nonlinear Neutral Delay Difference Equations

... of nonlinear difference equation was studied intensively by ...of oscillatory behavior of solutions of nonlinear neutral delay difference ...the ... See full document

... Since we are interested in the oscillatory behavior of solutions of (.) and (.) near infinity, we assume throughout this paper that our time scale is unbounded above. An excellent introduction of ... See full document

... asymptotic behavior of solutions for large t, we assume that sup T = ∞ and define the time scale interval [t  , ∞ ) T by [t  , ∞ ) T := [t  , ∞ ) ∩ T ... See full document

... If there exist positive sequences β , λ such that (11) and (12) hold, then Eq. (1) is oscillatory. Proof Suppose to the contrary that x(t) is a non-oscillatory solution of (1). Then, without loss of ... See full document

... differential equations and study the oscillatory behavior of a kind of first-order neutral nonlinear differential equation with time delay ...The oscillatory ... See full document

... and established a new comparison principle by using new monotonic properties of nonoscillatory solutions and iterated exponentiation. Agarwal et al. [7] used an approach that leads to two independent conditions, ... See full document

... ficulties one encounters lies in the fact that x(t) ≥ ( – p(t))z(t) is not a valid estimate if p(t) >  and x is an eventually positive solution of (.). The question regarding the anal- ysis of oscillatory ... See full document

... Oscillatory Behavior of The Solutions to Second Order Nonlinear Difference Equations, International Journal of Mathematics and Statistics Invention (IJMSI) E- ISSN: 2321 – ... See full document

... of difference equations and their applications have been receiving intensive attention in the last few decades, see for example [1, 2, 4], and the references cited ...of oscillatory behavior ... See full document

... known, neutral differential equations have a great number of applications in electric ...concerning oscillatory and nonoscillatory behav- ior of solutions to different classes of neutral ... See full document

... Thandapani, Oscillatory and nonoscillatory behavior of second order neutral delay difference equations, Math.. Thandapani, Oscillatory and nonoscillatory behavior of second order neutral[r] ... See full document

... In this paper we study the oscillatory and nonoscillatory behavior of the solutions of certain third and fourth order difference equations.. Until recently, excepting the studies by Chen[r] ... See full document

... the oscillatory and asymptotic behavior of solutions of neutral difference equations, see [1]-[5], and the references cited ...the oscillatory and asymptotic ... See full document

... oscillation solutions for first-order dynamic equations and second-order non-neutral dynamic equations on time scale can be found in ...most oscillatory results for ... See full document

... of oscillatory and asymptotic behavior of solutions of difference ...difference equations, the study of higher-order equations, and in particular fourth-order ... See full document

... ference equations appear in a natural way; see, for example, [, ...asymptotic behavior and existence of bounded solutions to many types of difference equation have been widely ...second order, ... See full document

... periodic solutions were obtained. However, the fourth-order p-Laplacian neutral differential equation ...p-Laplacian neutral differential equation, has not attracted much attention in the ... See full document

... 2 The existence of uncountably many bounded nonoscillatory solutions Now we investigate sufficient conditions for the existence of uncountably many bounded nonoscillatory solutions of (.) under various ... See full document

... In this paper, a class of second-order nonlinear perturbed differential equation and its special cases are studied. By using the generalized Riccati transformation and well-known techniques, some new ... See full document

... The main contribution of this paper is to establish some new criteria, which ensure that every solution of third-order neutral delay differential equations with distributed deviating arguments ... See full document