[PDF] Top 20 Oscillation and nonoscillation in nonlinear third order difference equations

... 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

... and nonoscillation of equation (2) have investigated intensively, see, for example [1, ...new oscillation and nonoscillation criteria for equation (2) which generalize the known results on second ... See full document

... Oscillation, Nonoscillation and Growth of Solutions of Nonlinear Functional Differential Equations of Arbitrary Order, J.. Asymptotic Properties of Solutions of Functional Differential E[r] ... See full document

... h(τ) (n+(n − 1)/α)β q(τ)dτ = ∞ , (5.5) Theorem 4.1(i) implies that all solutions of (5.4) are oscillatory. Application of Theorem 4.3 then shows that all solutions of (5.3) are oscillatory, and the conclusion of the ... 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

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

... and nonoscillation of solutions of various equations on time scales, we refer the reader to the papers which deal with the first-order dynamic equations [5–7] and second-order dynamic ... See full document

... for nonoscillation of all solutions of nonlinear functional differential ...for oscillation of all solutions of the second-order forced differential equation of the ... 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

... Equations of this type arise in a number of important applications such as problems in population dynamics when maturation and gestation are included, in cobweb mod- els, in economics where demand depends on the ... 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

... Remark 3.7We observe therefore that theorem (3.6) show that if (U 3) holds and (1) is non oscillatory then the sequence q either converges or diverges to −∞. This is not true in the differential equations case (cf ... See full document

... establish oscillation criteria of third-order nonlinear dynamic equations with nonpositive neutral coefficients on time scales by a generalized Riccati transformation and employing ... See full document

... Saker, Asymptotic Behavior of Solutions of a Third-Order Non-linear Dynamic Equation on Time Scales, Journal of Computational and Applied Mathematics 181, (2005) 92-102. Thandapani, O[r] ... See full document

... difference equations has been discussed in many ...the oscillation of the solutions to deterministic difference ...the oscillation of the solutions of stochastic difference ...the oscillation of ... 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 ...second ... 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

... Thandapani, Oscillation and nonoscil- lation results for general nonlinear difference equations, Proceedings of Dynamic Systems and Applications (Atlanta, GA), ... See full document

... difference equations of type (1.4;δ), the study of higher-order equations, and in particular third-order equations of type ...for equations with deviating ...the ... 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