[PDF] Top 20 Time—periodic weak solutions

... In continuation of Brito [I], [2], where we studied existence and uniqueness of the global solution and its asymptotic behavior as time t goes to infinity, Zwe now search for a time-peri[r] ... See full document

... Our continuation results are in the spirit of analogous ones by Furi and Pera for parametrized first- and second-order equations on differentiable manifolds (for more de- tails see the survey []) and could be considered, ... See full document

... almost periodic time scales, which is different from periodic time ...almost periodic time scales (see [14,15] and reference therein) than periodic time ... See full document

... Korzec et al. [] studied equation (.) with f (x, t) = . New types of stationary solutions of one-dimensional driven sixth-order Cahn-Hilliard type equation (.) are derived by an extension of the method of ... See full document

... A discrete-time delayed diffusion model governed by backward difference equations is investigated. By using the coincidence degree and the related continuation theorem as well as some priori estimates, easily ... See full document

... on time scales, we obtain some sufficient conditions for the existence and exponential stability of periodic solutions for a class of Hamiltonian systems on time ...the time scale T = R ... See full document

... with time-varying delays in the leakage (or forgetting) ...almost periodic solutions by using Lyapunov functional method and differential inequality ... See full document

... There are many papers which are devoted to investi- gations of qualitative behavior of solutions of differential systems by help of reflecting functions. V. I. Mironenko and V. V. Mironenko [2–6] combined the ... See full document

... It is well known that the concept of (ω, c)-periodic functions is the same of “affine-periodic functions” or “periodic of second kind”, which were introduced by Floquet [1] and have been studied in the ... See full document

... [2] H. Amann, Periodic solutions of semilinear parabolic equations, In: Nonlinear Analysis (L. Cesari, R. Kannan, H. Weinberger, eds), pp. 1–29, Academic Press, New York, 1978. [3] O.V. Besov, V.P. Il’in, ... See full document

... on time scales. Based on the theory of calculus on time scales, by using the properties of almost periodic functions and constructing a suitable Lyapunov functional, sufficient conditions which ... See full document

... Let u is a periodic solution of (1.2) and take its minimal period τ > 0. Since T is the minimal period of p, we have τ = kT, k ∈ N with k ≥ 1. Therefore, if k = 1, x is a harmonic (periodic) solution of ... See full document

... of periodic solutions and anti-periodic solutions of HCNNs in the literature (see ...with time delay in the leakage (or ‘forgetting’) term (see ...anti-periodic solutions ... See full document

... Definition 2.1. [13] Let T be a time scale. For t ∈ T , we define the forward jump operator σ : T → T by σ (t) = inf{s ∈ T : s > t}, and the backward jump operator ρ : T → T by ρ (t) = sup{s ∈ T : s < t}, ... See full document

... with time-varying delays are ...of periodic solutions of QVFCNNs by using the Schauder fixed point theorem and by constructing an appropriate Lyapunov ... See full document

... The time scales approach unifies differential, difference, h-difference, and q-differences equations and more under dynamic equations on time ...on time scales was introduced by Hilger in his PhD thesis ... See full document

... with periodic solutions of a model of gene regulatory system with time-varying coefficients and ...of solutions, which help to derive the global exponential stability of positive periodic ... See full document

... This paper studied the existence results of positive periodic solutions in shifts δ ± for a neutral functional dynamic equation on time scales. The application of the main results have been done on a ... See full document

... of time mT-periodic solutions is considered, a strongly indefinite discrete system needs to be ...generalized weak linking theorem, a non-resonant superlinear (or superquadratic) result is ... See full document

... Recently, scholars and researchers have paid more atten- tion to the discussion of neural networks described by neutral-type differential equations with delays (see [1-6]). Meanwhile, difference equations or ... See full document