[PDF] Top 20 Existence of periodic solutions for a higher order neutral difference equation

... The periodic solution theory of differential equation and difference equation has impor- tant academic value and application ...the periodic solutions of neutral difference ... See full document

... the existence of the periodic solutions of the KDV type of equation with respect to time variable with periodic external ...original equation to the integral equation. The ... See full document

... with periodic delays appear in a number of ecological, economical, control and physiological ...of periodic solutions for ordinary and partial dif- ferential equations, see the papers [–] and the ... See full document

... a periodic solution for discrete systems, based on operator ...the existence of periodic ...the existence of one periodic solution of systems () under the hypothesis there exist M  ... See full document

... The organization of this paper is as follows. In section 2, we introduce some notations and lemmas, and state some preliminary results needed in later section, then we give the Green’s function of (1.1), which plays an ... See full document

... the neutral operator is divided into two cases |c| / 1 and |c| 1, it is natural to study the neutral differential equation separately according to these two ...the existence of periodic ... See full document

... The existence of periodic solutions for the third-order differential equation ˙ x ¨ + ω 2 x ˙ = µF (x, x, ˙ x) ¨ is ...this equation in order to reduce it to a ... See full document

... the existence of a periodic solution for p-Laplacian neutral Rayleigh ...some existence results of periodic solutions to p-Laplacian neutral Rayleigh ... See full document

... where f ∈ C( R× (, ∞ ) × R× R ) is ω-periodic in t, and f (t, u, v, w) may be singular at u = . By applying of a fixed point theorem in cones, the author obtained that existence results of positive ... See full document

... 0, n ∈ Z, 1.5 has been studied. Other interesting contributions can be found in some recent papers 7–11 and in references contained therein. It is interesting to study second-order nonlinear difference equations ... See full document

... In this paper we generalize the approach used in [3] which was only for a special case φ (x). The technique developed is based on use of an artificial closed piecewise-smooth curve of the families of transversal curves ... See full document

... positive periodic solutions of a kind of p-Laplacian neutral differential equation with a ...the existence of positive periodic solutions for the considered ... See full document

... Nonoscillatory solutions of a nonlinear neutral type higher order difference equations are classified by means of their asymptotic ...theorem, existence criteria are then provided for ... See full document

... continuous periodic one-parameter group of linear operators in a Banach ...the existence of periodic solutions of a linear differential equation of the nth order with constant ... See full document

... theory of Mawhin, a kind of neutral differential systems with non-constant matrix is studied. Some new results on the existence of periodicity are obtained. It is worth noting that V(t) is no longer a ... See full document

... where f : [,T ] × [, ∞ ) × R → R and h : [, T ] → (, ∞ ) are continuous functions. Our study is motivated by current activity of many researchers in the area of theory and appli- cations of PVBPs; see, for example, ... See full document

... the existence of positive periodic solution of higher-order functional difference equation (2), we will remove the constrains on a and l in ...the existence of positive ... See full document

... consider equation () on Z -the set of all integers, in the literature on differ- ence ...bounded solutions to equation (), but also on the whole Z ...the existence of solutions to () ... See full document

... the existence of periodic solutions were ...p-Laplacian neutral differential equation ...p-Laplacian neutral differential equation, has not attracted much attention in the ... See full document

... the existence of periodic solutions of nonlinear, second-order difference equations of the form y(t + 2) + by(t + 1) + cy(t) = f (y(t)), where c = 0 and f : R → R is ...an equation we ... See full document