[PDF] Top 20 Periodic Solutions of a Class of Second Order Differential Equation

... Introduction and Statement of the Main Results In this paper we shall study the existence of periodic solutions of the second-order differential equation of the form.. We note that the s[r] ... See full document

... Compared to system (.), the neutral functional differential system (.) admits four control parameters p, q, λ, s. We aim to derive conditions in terms of these four control parameters for the existence and ... See full document

... of periodic solutions of difference equations by using critical point theory (see [–]), the ex- istence and multiplicity of periodic solutions for system ...classical ... See full document

... quasi-periodic solutions due to such solutions providing a rather complete qualitative description of the dynamics, for different classes of nonlinear second order differential equations ... 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 ...multiple periodic ... See full document

... Tang, CL, Wu, XP: Periodic solutions for a class of nonautonomous subquadratic second order Hamiltonian systems.. Chang, KC: Variational methods for non-differentiable functionals and the[r] ... See full document

... Variational methods are very powerful techniques in nonlinear analysis and are exten- sively used in many disciplines of pure and applied mathematics, including ordinary and partial differential equations, mathematical ... See full document

... of periodic solutions to ordinary differential systems as well as partial differential equa- tions (see ...of periodic solutions for delay differential ...of periodic solutions for ... See full document

... of periodic solutions for problem ...the periodic type potential conditions (see []), the even type potential condition (see []), the subquadratic potential condition in Rabinowitz’s sense (see ... See full document

... for periodic solutions of a differential delay equation to the problem of finding periodic solutions for a related system of ordinary differential ...study periodic ... See full document

... where V (x, t) satisfies some growth conditions and V(x, t) = V (x, t +). The author reduced the system to a normal form and then applied Moser twist theorem to prove the existence of quasi-periodic solution and ... See full document

... With periodic potentials, that is, (2) holding with r=N, the existence and multiplicity theorems are obtained for the nonautonomous second-order system (1) in [1] and [2] ...nonautonomous ... See full document

... decades. Periodic solutions and periodic boundary value problems of impulsive differential equations have received considerable attention and much literature has been published; for instance, see ... See full document

... In the monograph [], Mawhin and Willem investigated the existence of periodic solutions for problem (.) and obtained a series of results. During the past two decades, inspired by [] the existence of ... See full document

... almost periodic solutions for some difference ...almost periodic sequences to show the main results of this ...a second order differential equation with piecewise constant ... See full document

... F: Periodic solutions for second order differential ...Positive solutions to a system of second-order nonlocal boundary value ... See full document

... In this paper, we investigate the existence of positive solutions for a class of singular second-order differential equations with periodic boundary conditions. By using the fixed point ... See full document

... -periodic solutions of () and (). Also, F is kT-periodic for k ∈ N, one can search the kT-periodic solutions, which is called subhar- monic ...kT periodic solution with k ≥  ... See full document

... Jiang, Q, Tang, C: Periodic and subharmonic solutions of a class of subquadratic second-order Hamiltonian systems. Wang, Z, Zhang, J: Periodic solutions of a class of second order non-au[r] ... See full document

... In this paper, we study the existence of solutions of periodic boundary value problems for impulsive differential equations depending on a parameter λ . By employing an existing critical point theorem, we ... See full document