[PDF] Top 20 Multiple periodic solutions for a class of second order neutral functional differential equations

... the neutral functional differential system ...of periodic solutions of a class of second- order neutral functional differential equation ... See full document

... of periodic solutions of functional di ff erential equations, one commonly uses methods of fixed point theory, coincidence degree theory, Fourier anal- ysis, and so ...tained multiple ... See full document

... In this paper, the main purpose is to study the multiplicity of periodic solutions for sys- tems (.) via some recent critical point theorems for strongly indefinite functionals. In order to achieve ... See full document

... ferentiable functional whose Gâteaux derivative admits a continuous inverse on X ∗ ; let : X → R be a continuously Gâteaux differentiable functional whose Gáteaux derivative is ... See full document

... Note that in this example the parameters of the equation satisfy the conditions of the main results of the papers [, , ]. Example  shows incorrectness of the results Theo- rem  in [], Theorem . in [] and ... See full document

... Tuncay Candan received his M.Sc and Ph.D degree in Applied Mathematics from the Department of Mathematics at Iowa State University, USA. He is currently a Professor of Mathematics at American University of the Middle ... See full document

... differential equations, mathematical physics, and geometrical ...of solutions for Hamilton systems and Schrödinger equations have been studied extensively via critical point theory; see ... See full document

... a class of first-order neutral differential equations with time-varying delays and ...pseudo-almost periodic solutions for the addressed ... See full document

... Differential equations with piecewise constant argument, which were firstly considered by Cooke and Wiener 1, and Shah and Wiener 2, usually describe hybrid dynamical systems a combination of continuous and ... See full document

... differential equations; see 1 and the references ...of functional differential equations ...of periodic boundary value problems for second-order differential equation; the condition ... See full document

... impulsive differential equations has become an important aspect of differential ...equations. Differential equations with impulses provide an adequate mathematical model of many ... See full document

... of periodic solutions for second order differ- ential systems have been studied extensively, and many solvability conditions have been obtained via variational methods and critical point ... See full document

... all solutions of equation ...in order that every solution of equa- tion ...non-oscillatory solutions of equation ...the solutions of equation ... See full document

... the solutions of (3) and (4), under various ranges of ...nonoscillatory solutions of ...of functional differential ...nonoscillatory solutions of (1) for any |p(t)| < ... See full document

... If compared with the literature available for strong singularities, see [–] and the ref- erences therein, the study of the existence of periodic solutions in the presence of a weak singularity is much ... See full document

... lower solutions method and monotone iterative method) (see, for example, [–] and references ...of solutions for impul- sive problems have been thoroughly investigated by [–] using variational ... See full document

... P ro o f (i) Let x be a 4-periodic solution o f (1). Then x can be presented by (9), where (x (0 ),x (-2 ),x '(-2 )) is the solution o f (11). The linear system (11) is solvable if and only if D 2(p,q) = 0. Hence ... See full document

... a periodic boundary value problem for third-order linear differential equations,” Differentsial’nye Uravneniya, ...Differential Equations, ...“Periodic solutions of ... See full document

... of solutions for second-order differential delay equation by using a variational ...type periodic solutions of second- order differential delay equation ... See full document

... impulsive differential equations is emerging as an important area of investigation since such equations appear to represent a natural framework for mathematical modeling of several real ...of ... See full document