[PDF] Top 20 A note on asymptotic stability conditions for delay difference equations

... − 1/N . We claim that if | p | is su ffi ciently small, then all the roots of (2.1) are inside the unit disk. To this end, we note that when p = 0, (2.1) has exactly one root at 0 of multi- plicity k + 1. By the ... See full document

... short note is to indicate an error in the previous paper [] published in ‘Advances in Difference Equations’ and an inaccuracy in the recent paper []; to present a corrected result for [] and clarification ... See full document

... linear delay difference equations has finite limit at infinity, if some conditions are ...sufficient conditions for asymptotic constancy of the ...our conditions are also ... See full document

... the asymptotic behavior of the so- lutions for the evolution equations with delay is to find conditions for the existence and stability of ω-periodic solutions in the case that the ... See full document

... explicit stability conditions for delay difference equations in C n (the set of n complex vectors) and estimates for the size of the solutions are ...difference equations, which model ... See full document

... difference equations and in- equalities the right-hand sides of which generate a monotone system with respect to the discrete exponential ...sufficient conditions for the global exponential sta- bility of the ... See full document

... non-autonomous delay difference equations with continuous variables is ...a delay difference inequality with impulsive initial conditions and using the decomposition approach, we ... See full document

... the asymptotic sta- bility of linear difference ...sufficient conditions established by the above criteria are too much complicated even to verify the condition ... See full document

... sufficient conditions which guarantee the existence and uniformly asymptotic stability of a unique positive almost periodic solution of the system are ... See full document

... restrictive conditions on {Qn}, we discussed the uniform asymptotic stability of the zero solution of ...restrictive conditions; more precisely, we have established the ... See full document

... stable conditions, and there are four cases in this paper, which are discussed to illustrate the existence of Schrödingerean Hopf bifurca- ...the stability of Schrödingerean Hopf ... See full document

... differential equations is emerging as an important area of investigation, since it is not only richer than the corresponding theory of differential equations without impulse effects but also represents a more ... See full document

... B are real matrixes and the delay k is a positive integer. In the case A = − I, the equation is asymptotically stable if and only if all eigenvalues of the matrix B lie inside a special stability oval in ... See full document

... difference equations in phase space has great importance in ...difference equations with infinite delay has drawn the at- tention of several authors (see [6–12, ...difference equations is ... See full document

... Anyway, note that we have only found su ffi cient condi- tions for asymptotic ...sufficient conditions may still depend on the choice of step sizes ∆ n ... See full document

... results of Agarwal (1992), Dawidowski et al. (2001), Drozdowicz and Popenda (1987), M. Migda (2001), and M. Migda and J. Migda (1988). We suppose that f has values in Banach space and satisfies some conditions ... See full document

... the asymptotic behavior of impulsive infinite delay difference equations with continuous ...infinite delay difference inequality with impulsive initial conditions and using the properties ... See full document

... the asymptotic behavior, the nonoscillation, and the stability of the solutions of first-order scalar linear delay differen- tial equations with constant coefficients and one constant ...linear ... See full document

... sufficient conditions to guarantee the asymptotic stability and uniform boundedness of certain vector second-order nonlinear delay differential equations with a continuous deviating ... 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