[PDF] Top 20 Positive periodic solutions for a second-order functional differential equation

... linear second-order periodic problems plays an important ...the second-order periodic problems are cone-preserving in the ... See full document

... By using the fixed point theorem of cone expansion and cone compression of norm type, sufficient conditions for the existence of at least two periodic solutions of the equation are obtained. The ... See full document

... In this note, existence and uniqueness criteria for periodic solutions of 1.3 will be established. For this purpose, we will make use of a continuation theorem of Mawhin. Let X and Y be two Banach spaces ... See full document

... In recent years, Guo and Yu [16] considered (1.1) with N = 2 by variational methods directly, and they obtain the Kaplan-Yorke type periodic solutions. That is to say that they do not necessarily transform ... See full document

... functional ϕ satisfies the PS condition. In the same way as in Theorem ., we can easily verify that conditions (i) and (ii) of Lemma . are satisfied. According to Lemma ., ϕ possesses infinitely many critical ... See full document

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

... Some special cases of (.) have been investigated. For example, Boucherif [] considered problem (.) under the case that λ = , g(t) ≡ , ω(t) ≡ , and α(t) ≡ t on J. By using Krasnoselskii’s fixed point theorem in a ... See full document

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

... x(t) + cx(t − τ) + g t,x(t − σ ) = p(t), (1.1) where τ, σ, and c are constants in R with τ ≥ 0, σ ≥ 0, | c | < 1, g (t,x) is a T (> 0)-periodic function in t > 0, and for an arbitrary bounded domain E ⊂ ... See full document

... Remark . In our paper, we consider the n-order period equation (.); in this sense, we generalize the model in [] to higher order under the equivalent conditions. Moreover, in view of the ... See full document

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

... mild solutions for a damped second order impulsive neutral functional differential equation with state-dependent delay in Banach ...damped second order impulsive ... See full document

... almost periodic and on ergodic ...uniqueness solutions of some difference equations using polynomial ...some second order differential equation with a piecewise constant ... See full document

... of positive periodic solutions for problem ...the positive periodic solution on the parameter for problem ...of positive periodic solutions for problem ...of ... See full document

... of positive solution of equa- tion () is significant and ...a periodic force at a place which lies asymmetric with respect to system config- ...differential equation model, ... See full document

... In this section, we apply Lemmas .-. to study problem (.), and we obtain some new results on the existence and uniqueness of positive periodic solutions. The method used here is relatively new ... 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

... 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

... 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