共查询到20条相似文献,搜索用时 15 毫秒
1.
Almost periodic solutions for nonlinear duffing equations 总被引:6,自引:0,他引:6
Zeng Weiyao 《数学学报(英文版)》1997,13(3):373-380
The main purpose of this paper is to investigate the existence of almost periodic solutions for the Duffing differential equation.
By combining the theory of exponential dichotomies with Liapunov functions, we obtain an intersting result on the existence
of almost periodic solutions.
This work is supported by NSF of China, No.19401013 相似文献
2.
Gani Stamov 《Applicable analysis》2013,92(1-2):45-56
Sufficirnt condition for the existence of almost periodic solutions of forced perturbed systems of impulsive differential equations with impulsive effect at fixed Moments are considered. 相似文献
3.
Almost periodic solutions of differential equations with piecewise constant argument of generalized type 总被引:1,自引:0,他引:1
We consider the existence and stability of an almost periodic solution of the following hybrid system: where if θi≤t<θi+1,i=…−2,−1,0,1,2,…, is an identification function, θi is a strictly ordered sequence of real numbers, unbounded on the left and on the right, pj,j=1,2,…,m, are fixed integers, and the linear homogeneous system associated with (1) satisfies exponential dichotomy. The deviations of the argument are not restricted by any sign assumption when existence is considered. A new technique of investigation of equations with piecewise argument, based on integral representation, is developed. 相似文献
4.
Yihong Song 《Journal of Mathematical Analysis and Applications》2006,314(1):174-194
For discrete Volterra equations with or without delay, we obtain several results concerning almost periodic solutions and asymptotically almost periodic solutions under certain conditions. We also investigate the relations among solutions of equations discussed and give an example to illustrate our results. 相似文献
5.
In this paper, we present a theorem on the almost periodic solutions of second-order neutral equations with piecewise constant arguments of the form
where [⋅] denotes the greatest integer function, p,q (|p|>1 or p=−1) are nonzero constants, and f(t) is almost periodic. 相似文献
(x(t)+px(t−1))″=qx([t])+f(t),
6.
In this paper, we study almost periodic logistic delay differential equations. The existence and module of almost periodic solutions are investigated. In particular, we extend some results of Seifert in [G. Seifert, Almost periodic solutions of certain differential equations with piecewise constant delays and almost periodic time dependence, J. Differential Equations 164 (2000) 451–458]. 相似文献
7.
We study the existence of almost periodic (resp., pseudo-almost periodic) mild solutions for fractional differential and integro-differential equations in the case when the forcing term belongs to the class of Stepanov almost (resp., Stepanov-like pseudo-almost) periodic functions. 相似文献
8.
We analyse almost periodic homogeneous linear difference systems whose coefficient matrices belong to the so-called transformable groups. We introduce the notion of weakly transformable groups and we use this notion to obtain generalizations of known results about non-almost periodic solutions of considered systems. 相似文献
9.
《Mathematical Methods in the Applied Sciences》2018,41(13):5065-5073
The existence and nonexistence of periodic solutions are discussed for fractional differential equations by varying the lower limits of Caputo derivatives. The developed approach is illustrated on several examples. 相似文献
10.
M. Baroun L. Maniar G.M. NGurkata 《Nonlinear Analysis: Theory, Methods & Applications》2008,69(7):2114-2124
In this paper, we study the existence and uniqueness of almost periodic and almost automorphic solutions to the semilinear parabolic boundary differential equations where AAm|kerL generates a hyperbolic analytic semigroup on a Banach space X. The functions h and are defined on some intermediate subspaces Xβ,0<β<1, and take values in X and in a boundary space ∂X respectively. 相似文献
11.
Michal Veselý 《Journal of Difference Equations and Applications》2013,19(10):1623-1647
Almost periodic homogeneous linear difference systems are considered. It is supposed that the coefficient matrices belong to a group. The aim was to find such groups that the systems having no non-trivial almost periodic solution form a dense subset of the set of all considered systems. A closer examination of the used methods reveals that the problem can be treated in such a generality that the entries of coefficient matrices are allowed to belong to any complete metric field. The concepts of transformable and strongly transformable groups of matrices are introduced, and these concepts enable us to derive efficient conditions for determining what matrix groups have the required property. 相似文献
12.
袁荣 《应用数学学报(英文版)》1998,14(1):68-73
Itiswellknownthattheexistenceofalmostperiodicsolutionsiscloselyrelatedtothestabilityofsolutions.Forfunctionaldifferentialequationswithinfinitedelay,Y.Hin.[5'6]studiedtheproblemsontheexistenceofalmostperiodicsolutionsandthestability.However,therearefewpapersll2]dealingwithneutralfunctionaldifferentialequationswithinfinitedelay.Inthepresentpaper,forneutralfunctionaldifferentialequationswithinfinitedelay,weprovetheinherencetheoremfortheuniformlystableoperatorD(t),definethestabilitywithrespecttot… 相似文献
13.
George R Sell 《Journal of Mathematical Analysis and Applications》1973,42(2):302-312
Let L be an arbitrary linear partial differential operator and let f be an almost periodic function for t in Rm. In this paper we present sufficient conditions that a bounded solution u of Lu = f be almost periodic. Our work generalizes the theorem of Sibuya [5] for Poisson's equation and the theorems of Favard [3] and Bochner [1] for ordinary differential equations. 相似文献
14.
15.
The paper is concerned with the existence of almost periodic solutions to the so-called semilinear thermoelastic plate systems. For that, the strategy consists of seeing these systems as a particular case of the semilinear parabolic evolution equations
(*) 相似文献
16.
17.
In this paper we will prove the coexistence of unbounded solutions and periodic solutions for the asymmetric oscillator where and are positive constants satisfying the nonresonant condition and is periodic in the first variable and bounded.
18.
Yoshiyuki Hino 《Journal of Mathematical Analysis and Applications》2003,286(2):741-752
For abstract linear functional differential equations with an almost automorphic forcing term, we establish a result on the existence of almost automorphic solutions, which extends the classical theorem due to Massera on the existence of periodic solutions for linear periodic ordinary differential equations. 相似文献
19.
In this paper, we consider the existence of periodic solutions for second-order differential delay equations. Some existence results are obtained using Malsov-type index and Morse theory, which extends and complements some existing results. 相似文献
20.