[PDF] Top 20 On the Asymptotic Behavior of Second Order Quasilinear Difference Equations

... y ′ α − y ′ = p t y β − y (7) Discrete models are more suitable for understanding the problems in Economics, genetics, population dy- namics etc. In the qualitative theory of difference equations ... See full document

... Elliptic equations, a type of partial differential equations illustrate behavior that remains static with time. In other words processes which are in equilibrium, like heat flow or fluid flow through a ... See full document

... the asymptotic behavior of the time series using second order difference of the combinations of observations obtained from a general time ...higher order difference ... 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

... Asymptotic expansion of solutions to second-order linear difference equations is an old subject. The earliest work as we know can go back to 1911 when Birkhoff 1 first deal with this problem. ... See full document

... the asymptotic behavior of the solutions of Poincar´e difference ...the behavior of the solutions of nonlinear difference equations in a neighborhood of a hyperbolic ...a ... See full document

... 1. Introduction. In recent years, there have been many papers considering the im- pulsive differential equations, see, for example, [2, 3, 1, 4, 5] and the references cited in [3]. In this paper, our results extend ... See full document

... In this section, we study the asymptotic behavior of solutions to the evolution equation (1.1) under appropriate assumptions on the operator A and the functions p(t) and r(t), similar to those assumed by ... See full document

... This work is organized as follows. The main results are stated in Section 1. Results from literature which are used here are given in Section 2 for convenience. In Section 3, it is shown that either every solution to ... See full document

... [8] studied the global behavior of positive solution to the fourth-order rational difference equations.. Although difference equations are sometimes very simple in their forms, they are [r] ... See full document

... difference equations with many examples in applications such as asymptotic behavior of solutions of difference equations were studied extensively by Elaydi [] where the analytic and geometric ... See full document

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

... forward difference approximation with the exception of the methods Crank-Nicolson and ω , ω = ...centered difference approach is more ...the second best but much ... See full document

... The theory of dynamic equations on time scales, which goes back to its founder Hilger [], has recently attracted attention of researchers. Several authors have expounded on var- ious aspects of this new theory; ... See full document

... no significant progress took place on this line. But recently, when we took up the definition of  as given in (1), the theory of difference equations are developed in a different direction. For ... See full document

... whose solutions, as one can easily check, are also solutions of the problem (), because the convergence of the series is implicitly assumed in this direction. In the other direction, one needs to provide conditions ... See full document

... and asymptotic behavior at infinity of increasing positive solutions of second order quasilinear ordinary differential equations (p(t) ϕ (x (t))) + q(t) ψ (x(t)) = 0 are studied in ... See full document

... Theorems on oscillatory and asymptotic behavior of second order nonlinear neutral difference equations.. We determine sufficient conditions under which every solution of ( ∗ ) is either.[r] ... See full document

... investigation, asymptotic, oscillatory and bounded solutions of general second order difference equations under advanced setup, we come across specific conditions on the special type of ... See full document

... Stability Implications on the Asymptotic Behavior of Second Order Differential Equations, Proc.. Stability and Asymptotic Behavior of Differential Equations, Heath, Boston, 1965.[r] ... See full document