[PDF] Top 20 Asymptotically almost periodic solution to a class of Volterra difference equations

... discrete Volterra equations, we refer the reader to the well-known monograph [] by ...for Volterra-type difference equations in [–] by Diblík et ...for Volterra-type difference ... See full document

... The real-valued (ω, c)-periodic functions were introduced and studied by G. Floquet in [12]. He called this set of functions as periodic functions of the second kind. In that paper, Floquet considered a ... See full document

... differential equations, fractional differential equations, integral equations and partial differential ...Sv- asymptotically ω-periodic ...is asymptotically ω-periodic and ... See full document

... tinuous almost periodic solutions for differential ...discrete almost periodic sequence, the notion of discrete asymptotically almost periodic sequence, which is based upon ... See full document

... the asymptotically almost periodic solutions of ...a class of asymp- totically almost periodic recurrent neural networks involving mixed delays is ...on asymptotically ... See full document

... asymptotic almost periodicity was introduced by Frechet ...be asymptotically almost periodic if it is a sum of an almost periodic function p(n) and a function q(n) defined on J* ... See full document

... Abstract partial neutral differential equations also appear in the theory of heat conduction. In the classic theory of heat conduction, it is assumed that the internal energy and the heat flux depend linearly on ... See full document

... globally asymptotically stable positive almost periodic solution for a Watt-type almost periodic predator-prey model with diffusion and time ...positive almost ... See full document

... 2.1. Almost periodic ...(uniformly) almost periodic and asymptotically almost periodic sequences, which have been discussed by several au- thors (see, ...For almost ... See full document

... integral equations of Volterra type arise in a variety of science and technology fields ...integral equations, that one can apply an existence and uniqueness ...integral equations. The ... See full document

... bounded solution of 1.2 is totally stable, then it is an asymptotically almost periodic solution of ...an almost periodic ...bounded solution of 1.2 is uniformly ... See full document

... of almost periodic functions and asymptotically almost periodic functions in Banach ...of almost periodic functions and asymptotically almost periodic ... See full document

... study almost periodic solutions of difference equations, but a little is known about almost periodic solutions, and in particular, for periodic solutions of nonlinear functional ... See full document

... Proof of Theorem 1.2 Since g Î C 1 [m, M], max{g’(u): m ≤ u ≤ M} exists and max {g ’ (u): m ≤ u ≤ M} ≥ 1. Let p = max{g ’ (u): m ≤ u ≤ M}. If p = 1, then g(u) ≡ u on [m, M]. It is easy to check that any constant c Î [m, ... See full document

... new class of functions called µ-pseudo S -asymptotically periodic function on R by the measure ...-asymptotically periodic integral solution to partial neutral functional ... See full document

... differential equations, we mention [, ...half-linear equations was introduced in ...the solution space of these equations is homogeneous (likewise in the linear case), but it is not ...linear ... See full document

... a class of generalized Li´enard type p-Laplacian ...of periodic solutions for the generalized Li´enard type p-Laplacian differential equations are ... See full document

... bounded solution, a periodic or al- most periodic solution of the equation x = A(t, x) + f ...from periodic and almost periodic to asymptotically almost pe- ... See full document

... Every solution is uniquely determined by its values at the positions (0,0), (1,1), (1,0), ( − 1, 0), (0,1), and (0, − 1), and it can be generated by the recursions discussed in Section ... See full document

... + it follows from yt is a continuous and bounded function on R A4 and AS that kt,sysds is bounded and uniformly continuous on R Thus, from 1.3 and AI we see that the function yt is bound[r] ... See full document