共查询到20条相似文献,搜索用时 15 毫秒
1.
Mingli Hong 《Journal of Applied Analysis & Computation》2017,7(1):102-118
Here we consider the global well-posedness of the 3D viscous primitive equations of the large-scale ocean. Inspired by the methods in Cao etc\cite{CT3} and Guo etc\cite{GH2}, we prove the global well-posedness and the long-time dynamics for the primitive equations. 相似文献
2.
Wei Gengping~ Shen Jianhua~ 《高校应用数学学报(英文版)》2006,21(3):320-326
This paper studies the nonautonomous nonlinear system of difference equationsΔx(n)=A(n)x(n)+f(n,x(n)),n∈Z,(*) where x(n)∈R~N,A(n)=(a_(ij)(n))N×N is an N×N matrix,with a-(ij)∈C(R,R) for i,j= 1,2,3,...,N,and f=(f_1,f_2,...,f_N)~T∈C(R×R~N,R~N),satisfying A(t+ω)=A(t),f(t+ω,z)=f(t,z) for any t∈R,(t,z)∈R×R~N andωis a positive integer.Sufficient conditions for the existence ofω-periodic solutions to equations (*) are obtained. 相似文献
3.
Boling Guo 《Journal of Differential Equations》2011,251(3):457-491
In this paper, we consider the initial-boundary value problem for the three-dimensional viscous primitive equations of large-scale moist atmosphere which are used to describe the turbulent behavior of long-term weather prediction and climate changes. By obtaining the existence and uniqueness of global strong solutions for the problem and studying the long-time behavior of strong solutions, we prove the existence of the universal attractor for the dynamical system generated by the primitive equations of large-scale moist atmosphere. 相似文献
4.
Naoki Shioji 《Proceedings of the American Mathematical Society》1997,125(10):2921-2929
In this paper, we study the existence of -periodic solutions for the problem
where is a -periodic, pseudo monotone mapping from a reflexive Banach space into its dual.
5.
This paper is devoted to the study of difference equations coupled with periodic boundary value conditions. We deduce the existence of at least one positive solution provided that the nonlinear part of the equation satisfies some monotonicity assumptions and the existence of a positive upper solution. The result is obtained from a new fixed point theorem based on the classical Krasnoselskii's cone expansion/contraction theorem and the constant sign properties of the related Green's function. 相似文献
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7.
Existence of almost periodic solutions for strong stable impulsive differential equations 总被引:1,自引:0,他引:1
Conditions for strong stability and the existence of almostperiodic solutions of systems of impulsive differential equationswith impulsive effect at fixed moments are obtained. The investigationsare carried out by means of piecewise continuous functions whichare analogues of Lyapunov functions. 相似文献
8.
《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
9.
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
10.
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
11.
12.
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
13.
Moez Ayachi 《Applicable analysis》2013,92(1):211-217
By using the Ekeland variational principle and the calculus of variations in mean, we study the existence of almost periodic solutions of a class of advanced-retarded differential equation. We show that under some hypothesis, for any given almost periodic forcing term can be ‘perturbed’ so that the corresponding forced equation admits an almost periodic solution. 相似文献
14.
Existence results for periodic solutions of integro-dynamic equations on time scales 总被引:1,自引:0,他引:1
Using the topological degree method and Schaefer’s fixed point theorem, we deduce the existence of periodic solutions of nonlinear
system of integro-dynamic equations on periodic time scales. Furthermore, we provide several applications to scalar equations,
in which we develop a time scale analog of Lyapunov’s direct method and prove an analog of Sobolev’s inequality on time scales
to arrive at a priori bound on all periodic solutions. Therefore, we improve and generalize the corresponding results in Burton
et al. (Ann Mat Pura Appl 161:271–283, 1992)
相似文献
15.
Hong Gao 《Applied mathematics and computation》2009,211(1):148-154
In this paper, we use the coincidence degree theory to establish new results on the existence and uniqueness of T-periodic solutions for a kind of forced Rayleigh equation of the form
x″+f(x′(t))+g(t,x(t))=e(t). 相似文献
16.
V. V. Filippov 《Mathematical Notes》1997,61(5):644-656
An apparatus for proving existence theorems for periodic solutions of equations with discontinuous right-hand side and differential
inclusions is developed.
Translated fromMatematischeskie Zametki, Vol. 61, No. 5, pp. 769–784, May, 1997.
Translated by V. N. Dubrovsky 相似文献
17.
Existence of periodic and subharmonic solutions for second-order superlinear difference equations 总被引:20,自引:0,他引:20
By critical point theory, a new approach is provided to study the existence and multiplicity results of periodic and subharmonic solutions for difference equations. For secord-order difference equations△2xn-1+f(n,xn)=0some new results are obtained for the above problems when f(t, z) has superlinear growth at zero and at infinityin z. 相似文献
18.
In our paper, by employing Krasnoselskii fixed point theorem, we investigate the existence of multiple positive periodic solutions for functional differential equations
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20.
Sufficient conditions are obtained for the existence and global attractivity of positive periodic solutions of the delay differential system with feedback controlThe method involves the application of Krasnoselskii's fixed point theorem and estimates of uniform upper and lower bounds of solutions. When these results are applied to some special delay population models with multiple delays, some new results are obtained and some known results are generalized. 相似文献