[PDF] Top 20 Stability problem of some nonlinear difference equations

... Our aim in this paper is to study the asymptotic stability of the rational recursive sequence 1.4 when p 2, see section 2.. On the basis of the results of section 2 we also investigate t[r] ... See full document

... On the other hand, several authors [13, 15, 31, 32] used fixed point theorems to discuss existence, uniqueness and stability properties of fractional differential sys- tems. Motivated by this fact, in this paper, ... See full document

... Differential equations place important ...functions, difference equations place very important ...of stability for continuous functions studied by ... See full document

... The problem to approximate the solutions of di ff erential equations by substituting to them “appropriate” difference equations is as old as the differential ...main problem to be solved is the ... See full document

... difference equations have attracted the attention of many researchers for various ...of nonlinear equations which are, in some cases, treatable but their dynamics present some new ... See full document

... and stability of solutions to a class of nonlinear impulsive boundary value problem of fractional order differential ...of nonlinear functional analysis, we investigate Ulam–Hyers ... See full document

... Difference equations usually appear in the investigation of systems with discrete time or in the numerical solution of systems with continuous time ...of difference equations has been ... See full document

... q-difference equations initiated in the beginning of the th century [–], is a very interesting field in difference ...For some recent work on q-difference equations, we refer the reader to ...for ... See full document

... Fractional calculus has proved to be valuable tools in describing and solving a large num- ber of problems in various fields of sciences and engineering [1, 2]. Their treatment from the viewpoint of difference ... See full document

... the problem of the global existence of the solutions of differential equation by extending the function g on the interval ( ) 0 , ∞ provided that g is bounded and continuously differentiable on ( ) 0 , ∞ ... See full document

... derive some sufficient conditions which ensure the existence and uniqueness of a solution for a class of nonlinear three point boundary value problems of fractional order implicit differential equations ... See full document

... differential equations with nonlocal conditions in Banach space, [15] ...nonlocal problem for the fractional differential equation in Banach ...Cauchy problem for nonlinear fractional ... See full document

... The remainder of this article is organized as follows. In Section , we provide some basic definitions, preliminaries facts and various lemmas, which are needed later. In Section , we give main results of the ... See full document

... in Nonlinear Difference Equations, Chapman & Hall/CRC, ...Global stability in some population models, in Proceedings of the 4th International Conference on Difference ... See full document

... similar problem on the existence and the growth of tran- scendental meromorphic solutions of complex q-difference equations ...q-difference equations) instead of complex difference equation ...involved ... See full document

... tions. Some of the authors use computers for making conjectures on long-term behavior of their solutions based on numerical calculations, but some use them for getting closed- form formulas for their ... See full document

... erence equations in Euclidean and Banach spaces have been con- sidered by many authors, see, for example, [1–3, 5–10, 12] and the references ...Mainly equations with separated linear parts and scalar ... See full document

... difference equations. Compared to second-order difference equations, the study of higher-order equations, and in particular fourth-order equations (see, ...difference equations is the ... 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

... differential equations and complex difference equations plays a prominent role in the field of Complex ...such equations admits several ways of approach, but recently solutions of complex ... See full document