[PDF] Top 20 Oscillation of First Order Neutral Difference Equations

... 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] [12] ... See full document

... second order neutral functional differential equations have applications in problems dealing with vibrating masses attached to an elastic bar and in some variational ...of neutral functional ... 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

... Hindawi Publishing Corporation Advances in Difference Equations Volume 2010, Article ID 184180, 9 pages doi 10 1155/2010/184180 Research Article Oscillation of Even Order Neutral Delay Differential Eq[.] ... See full document

... difference equations with continuous variable without im- pulses has been investigated by some authors, see, for example, [1–3, 5, ...erence equations with continuous ... See full document

... contained therein. However, relatively few oscillation results are known for forced equations (see [5, 6, 7, 8, 9, 10, 11]). In this paper, we give sufficient conditions which ensure that all solutions of (1) ... 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

... determining oscillation theorem for second order nonlinear difference equation has been the subject of investigation in ...linear difference equations of second order have been ... See full document

... In this paper, we shall investigate some oscillation criteria for the solutions of mth-order nonlinear neutral difference equation where m ≥ 1. The results presented here complement some of the known ... See full document

... difference equations with quasi-differences and deviating argument is ...new oscillation theorem for the sublinear case and we complete the existing results in the ... See full document

... SZMANDA, B., Oscillation Theorems for Nonlinear Second-order Difference Equations, J.. Li, Z.H., A Note on the Oscillatory Property for Nonlinear Difference Equations and Differentlal Eq[r] ... See full document

... study oscillation and asymptotic behaviour of odd-order delay dynamic ...We first state an oscillation test for odd-order nonneutral equations, then by comparison we provide ... 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

... and KUSANO, T., Oscillation theory of higher order linear functional differential equations of neutral type, Hiroshima Math.. and ZHANG, B.G., Oscillation Theory of Differential Equation[r] ... See full document

... difference equations has been intensively studied in recent ...with equations of type ...the oscillation of higher-order di ff erence equation similar to ... See full document

... differential/difference equations of frac- tional order, the oscillation and nonoscillation of solutions for integer order second order difference equations are still considered as ... 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

... forward difference operator defined by ∆x(n) = x(n + 1) − x(n), γ > 0 is a quotient of odd positive integers, {p(n)} is a positive real sequence, {q(n)} and {h(n)} are nonnegative real sequences, τ and σ are ... 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

... the oscillation of ...the oscillation of ...the oscillation of (1.1) and employ the same techniques to obtain oscillation results for the neutral ... See full document