[PDF] Top 20 Global Asymptotic Stability in a Class of Difference Equations

... “Global asymptotic stability in a class of Putnam-type equations,” Nonlinear Analysis: Theory, Methods & Applications, ...“The global attractivity of a higher order rational ... See full document

... and global exponential stability of the continuously differentiable, almost periodic, solution by using a fixed point theorem and differential inequality technique ...and global asymptotic ... See full document

... that stability is one of the basic problems in various dynamical ...the stability theory of difference equations are presented, for example, by Agarwal [], Elaydi [], Halanay and Rasvan [], ... See full document

... In this paper, we provide a differential model to describe the dynamic behavior of the Hasting-Powell food chain system. And two different Schrödingerean delays are incorpo- rated into the model. The stabilities of ... See full document

... See [1]. Equation (3) has a unique positive equilibrium point, and the characteristic equa- tion of the linearized equation of (3) about the equilibrium point has two complex con- jugate roots on | λ | = 1. Several ... See full document

... However, the vast majority of research works related to the class of nonlinear discrete time evolution equations (1.3) are focused either in finite dimensional cases or are re- stricted to the case of a ... See full document

... LW gave the key idea about the connection between global exponential stability and global asymptotic stability out and participating the revision and illustration. QZ participated the ... See full document

... the rotation-controlling magnitude of ρ. It shows that both noise and rotation terms have to be chosen carefully in order not to destabilize the long-term dynamics by partially drift-implicit θ-methods (4.2). Anyway, ... See full document

... As is well known, the bidirectional associative memory (BAM) neural networks were orig- inally introduced by Kosko [–], and they are a class of two-layer heteroassociative net- works, which are composed of ... See full document

... In certain epidemiological modeling, the population is generally divided into three classes which are susceptible represented by S , infected individual represented by I and recovered individual represented by R . This ... See full document

... of global asymptotic stability analysis for a class of nonlinear high order difference ...existence, global asymptotic stability and unstability of the equilibrium ... See full document

... globally asymptotic stability of the inhomogeneous iterates of {T n ...the stability of equilibrium of T when it satisfies certain type of sublinear conditions with respect to the partial order defined ... See full document

... rational difference equation one ...the global behavior of nonlinear difference equations of order greater than ...nonlinear difference equations with higher order is ... See full document

... Next, we study the asymptotic behavior of the solutions of 3.21. We can apply Theorem 3.1, Corollary 3.2, or Theorem 3.3 to obtain some relations between coefficients a and b that ensure the global ... See full document

... the global stability of a class of higher order difference equations that generalize equations of second orders that have been investigated in the references mainly in [23], ... See full document

... is reduced to r < 3(1 − µ)/4(1 + µ), while, by Remark 2.3, one can easily verify that the zero solution of the linearized system (2.36) is asymptotically stable if and only if r < 1; and so our claim is valid. ... See full document

... the stability of differential equation is associated with problems that are described by the development of long time ...the global properties of the solutions have been well studied, researchers in various ... See full document

... a class of fourth-order wave equations in an n-dimensional ...the global existence and optimal decay estimate of the solution in the corresponding Sobolev spaces by the contraction mapping principle ... See full document

... In this paper we study existence, uniqueness and asymptotic stability the solutions of a class of third order neutral delay differential equations.. piecewise constant argument..[r] ... See full document

... controlled by a positively homogeneous function which is nondecreasing in each of its variables (see Theorems 1.3 and 3.10). As a corollary, we obtain explicit sufficient condi- tions for the global exponential ... See full document