[PDF] Top 20 Anti periodic solutions for nonlinear evolution equations

... differential equations and engineering, and they have been studied extensively in the past ten ...example, anti-periodic trigonometric polynomials are important in the study of in- terpolation ... See full document

... differential equations with time t, such as the reaction-diffusion equation, the heat equation, the wave equation, the telegraph equation and so on, can be classified as a nonlinear evolution equation ... See full document

... When δ = 1, equation (1) has been considered in [17] and [19]. When δ = 1 and ∇ F(n, x) = 0, equation (1) has been also studied. For example, in [1] and [8], the authors were interested in the results on disconjugacy, ... See full document

... a periodic time scales with the period ...is periodic with period T if there exists a natural number n such that T = nw, f (t ± T ) = f (t) for all t ∈ T and T is the smallest number such that f (t ± T ) = ... See full document

... The organization of this paper is as follows. In Section 2, we recall some definitions of fractional integral and derivative and preliminary results which will be used in this paper. In Section 3, we will consider the ... See full document

... The existence of affine-periodic solutions for dynamic equations on time scales is studied. Mainly, via the topological degree theory, a general existence theorem is proved, which provides an effective ... See full document

... Let ( X , ∥ . ∥ ) be a Banach space. In [20], Xia et al introduced a new class of functions called weighted Stepanov-like pseudo almost automorphic functions as a natural gener- alization of the concept of weigthed ... See full document

... viscosity solutions of fully nonlinear second order parabolic equations with discontinuous time-dependence,” Differential and Integral Equations, ...viscosity solutions of parabolic ... See full document

... concerning periodic solutions of par- tial neutral functional differential equations has become an important area of investi- ...The periodic problems can take into account seasonal fluctuations ... See full document

... DOI: 10.4236/am.2018.911080 1226 Applied Mathematics was Henri Poincare that initiated the qualitative theory of differential equations. This qualitative approach was intended both to guide and bring to light the ... See full document

... differential equations has been generalized to stochastic ...of solutions of stochastic evolution equations have recently received a lot of attention (see [13, 17, 28] and the references ... See full document

... affine-periodic solutions problem to the boundary value problem in ...affine-periodic solutions for nonlinear impulsive system when det(I – Q) = 0 in ... See full document

... (ii) there is a positive number β such that for all z > β, f (z) > 0 and f ( − z) < 0, (iii) when c = 1 and | b | < 2, then N arccos( − b/2) is not an even multiple of π. Then there is at least one ... See full document

... explicit solutions have been obtained [–]. Exact three-wave solutions in- cluding periodic cross-kink wave solutions, doubly periodic solitary wave solutions and breather ... See full document

... Essentially nonlinear difference equations in a Euclidean space are considered. Condi- tions for the existence of periodic solutions and solution estimates are derived. Our main tool is a ... See full document

... Inspired by the work of Li [5], we give sufficient conditions for the existence and uniqueness of the 2π -periodic solution of 1.1 by using the initial value problem method and homeomorphi[r] ... See full document

... differential equations, which arise in biology, physics, population dynamics, economics, and so forth, are a basic tool to study evolution processes that are subjected to abrupt in their states see ...of ... See full document

... The paper is organized as follows. Section 2 is devoted to the proof of the existence of periodic solutions for problem (1.1) by using the Leray-Shauder fixed point theorem, which is di ff erent from that ... See full document

... of solutions for fractional differential inclusions with anti- periodic boundary conditions,” Boundary Value Problems, ...of solutions for a class of nonlinear impulsive functional ... See full document

... of periodic solu- tions for nonlinear second-order differential equations ...for nonlinear third-order differential ...of equations arise in engineering, for example, in problems related ... See full document