[PDF] Top 20 Stability and Periodic Nature of A System of Difference Equations

... of Periodic and Bounded Solutions of System ...the periodic behaviours of solutions of System ...two periodic solutions of System ...of System (1.1). Moreover we study the ... See full document

... In this section, we give a theorem on the structure of the matrix Sn, and provide an example for illustration. The results in this section are discrete analogues of the ones given in 1 . Theorem 2.1. The homogeneous ... 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

... out an interesting connection between the family of input-output operators and the size of the smallest perturbation in the presence of which the perturbed system loses its exponential stability. The ... See full document

... of Difference Equations has been growing ...that difference equations appear as mathematical models describing real life situations in probability theory, queuing theory, statistical problems, ... See full document

... the difference equations and functional difference equations, the existence of almost periodic solutions of almost periodic systems has been studied by many ...certain ... 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

... Recently, some biologists have argued that the ratio-dependent predator-prey model is more appropriate than the Gauss-type models for modelling predator-prey interactions where predation involves searching processes. ... See full document

... [x, y] = z = z(0), ... ,z(N) ; x ≤ z ≤ y in J N . (2.2) We say that u : N → R is an N-periodic solution of problem (P) if it satisfies equation (P) in N and u(n) = u(N + n) for all n ∈ N . From the periodicity of ... See full document

... almost periodic solutions of difference ...almost periodic solutions of nonlinear functional difference equations with finite de- lay via uniform stability properties of a bounded ...almost ... See full document

... Hyers-Ulam stability of various classes of differential ...of equations were ex- plored by using a wide spectrum of approaches; see, ...Hyers-Ulam stability of a first-order differential equa- tion y ... See full document

... positive periodic solutions are found for a system of delay di ff erence ...nontrivial periodic solutions for delay difference equations with positive and negative terms is also ... See full document

... differential equations with delays has an extensive physical back- ground and leads to a realistic mathematical model, and it has undergone a rapid develop- ment in the last 50 ...evolution equations with ... See full document

... almost periodic system for the growth of two species of plankton with competition and allelopathic effects on each ...asymptotic stability of a unique positive almost periodic solution of the ... See full document

... coupled system of nonlinear finite difference equations corresponding to a class of periodic- parabolic systems with time delays and with nonlinear boundary conditions in a bounded domain is ... See full document

... the system to be bounded are ...a system which satisfies the conditions for bounded must also be eventually periodic, with a period no more than 2k, and a preperiod no more than ... See full document

... periodicity nature of nonlinear difference ...ference equations in proving that every solution of these equations converges to a periodic solution (which need not necessarily be ...The ... See full document

... exponential stability of p-mean piecewise pseudo almost periodic mild solutions for nonlinear impulsive stochastic system ...differential equations well known in the theory of infinite ... See full document

... Recently there has been a surge of interest in systems of both rational and piecewise lin- ear difference equations due to their practical applications in evolutionary biology, neural networks, and ecology [–]. ... 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