[PDF] Top 20 Periodic solutions for a class of second order delay differential systems

... 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

... 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 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

... In this work, we have established an existence result for nonconstant periodic solutions of a class of second-order systems with p(t)-Laplacian. For p(x) is a constant p, it is ... 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

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

... Now, the functional satisfies all hypotheses of the saddle point theorem (see [], Theorem .), so has at least a critical point. Therefore, problem (.) possesses at least one T -periodic solution in W T ,p(t) ... See full document

... x∈ .Hence we have, by (8),(b) is satisfied. It follows from the generalized saddle point theorem (Theorem 1.7 in [4]) that has at least r + 1 critical points .Hence ϕ has at least r + 1 geometrically distinct critical ... 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

... 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

... 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

... The paper is organized as follows. In Section , we establish the variational structure of () and transfer the existence of the solution into the existence of a critical point of the corresponding functional. The dual ... See full document

... where ϕx ox as |x| → ∞ and et is a 2π-periodic function. After introducing new variables, the differential equation 1.3 can be changed into a Hamiltonian system. Under some suitable assumptions on ϕx and et, by ... 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

... where g(x) satisfies the semilinear condition at infinity and the time map satisfies an os- cillation condition, and prove that the given equation possesses infinitely many positive π-periodic solutions by ... See full document

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

... to periodic problems of the second-order delay equation () as well as Equation () (for Equation (), see ...positive periodic solutions of Equation ... See full document

... dynamical systems a combination of continuous and discrete and so combine properties of both differential and difference ...almost-periodic-type solutions of this type of ...the ... See full document

... approximate solutions of weakly nonlinear ...approximating periodic solutions of second order nonlinear differential systems was letter extended by Popov [4] to damped ... See full document

... of periodic solutions for delayed differential equations is an important research topic in ODE qualitative analysis, which has wide applications in mechanics, physics, ecology, economics, and other ... See full document