[PDF] Top 20 2. Oscillation of a Class of Second Order Neutral Difference Equations with Delays

... Neutral difference equations can be applied in several fields such as bifurcation analysis, population dynamics, stability theory, the dynamics of delayed network systems and ...of neutral ... See full document

... type equations arise in a number of important applications in natural sciences and technology; see [7, ...the oscillation of such type of ...many oscillation results are available for the equation ... See full document

... Third Order Nonlinear Neutral Delay Difference Equation, International Journal of Engineering Research & Technology (IJERT) ISSN: 2278-0181 ...Vol. 2 Issue ... See full document

... the oscillation of all bounded solutions of () (the so-called B-oscillation) have been ...[], oscillation criteria for () have been established using the analysis of non- oscillatory solutions and ... See full document

... India 2 ABSTRACT: Sufficient conditions for oscillation of second order nonlinear neutral delay differential equations of the form ... See full document

... We obtain several oscillation criteria for a class of second-order nonlinear neutral differential equations. New theorems extend a number of related results reported in the ... See full document

... differential equations is of impor- tance both in theory and ...of neutral differential equations have a number of practical applications in the study of distributed networks containing lossless ... See full document

... Proof. Let x t ( ) be a nonsocillatory solution of Equation (1). Without loss of generality, we may assume that there exists t 1 ≥ t 0 such that x t ( ) > 0, 0, 0 x t ( − τ ) > x t ( + δ ) > and x ( σ ( ) t ) ... See full document

... Recently, neutral delay difference equations, that is, difference equations in which the highest order difference of the unknown sequence appears both with and without ... See full document

... In Section 2, we present some preliminary lemmas and in Section 3, we establish some sufficient conditions which ensure that all solutions of equation (1.1) are either oscillatory or con[r] ... See full document

... of oscillation is the integral averaging ...most oscillation results in 1, 3, 5, 7, 11, 12 involved the function class ...function class H, denoted by H ∈ H, if H ∈ CD, R ∪ {0}, where D {t, s ... See full document

... differential equations and dy- namic equations on time scales; we refer the reader to the papers ...Regarding oscillation of second-order neutral differential equations, ... See full document

... of neutral impulsive differential equations is gradually occupying a central place among the theories of oscillations of impulsive differential ...that neutral impulsive differential equations ... See full document

... difference equations with linear neutral terms, see [1, 3, 7, 9, 10, 12, 13, 15, 16] and the references contained ...others, neutral equations having a nonlinearity in the neutral arise ... See full document

... The oscillation theory 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 ... See full document

... differential equations find numerous applications in natural science and ...of neutral delay differential equations, and we refer to the recent papers 2–23 and the references cited ... See full document

... In view of the above observations our aim in this paper is to present some new sufficient conditions which ensure that all solutions of equation (1.1) when the condition (1.3) holds and our results are different from ... See full document

... presented oscillation criteria which improved the existing results for the ...the oscillation of all solu- tions of equation ...new oscillation criteria, which improve and complement that given in ... See full document

... decades, neutral difference equations have been studied extensively and the oscillatory theory for these equations is well developed; see [1] [2] [3] [4] [5] [6] [7] [8] [9] [10] [11] ... See full document

... In this paper, we investigate the asymptotical behavior for a partial sum sequence of independent random variables, and we derive a law of the iterated logarithm type. It is worth to point out that the partial sum ... See full document