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1.
In this paper, a class of two-dimensional shunting inhibitory cellular neural networks with distributed delays and variable coefficients system is studied. By using the Schauder's fixed point theorem and Lyapunov function, we obtain some sufficient conditions about the existence and attractivity of almost periodic solutions to the above system, and all its solutions converge to such almost periodic solution. An example is given to illustrate that the conditions of our results are feasible.  相似文献   

2.
In this paper, the authors study the periodic boundary value problems of a class of nonlinear integro-differential equations of mixed type in Banach space with Carath′eodory's conditions. We arrive at the conclusion of the existence of generalized solutions between general- ized upper and lower solutions, and develop the monotone iterative technique to find generalized extremal solutions as limits of monotone solution sequences in Banach space.  相似文献   

3.
This paper deals with the periodic solutions of Schrodinger flow from S3 to S2. It is shown that the periodic solution is related to the variation of some functional and there exist S1-invariant critical points to this functional. The proof makes use of the Principle of Symmetric Criticality of Palais.  相似文献   

4.
This paper investigates the periodic boundary value problems for a class of second order functional differential equations. The monotone iterative technique and the maximum principle are applied to obtain the existence of maximal and minimal solutions.  相似文献   

5.
杨喜陶 《东北数学》2006,22(2):199-205
By constructing Liapunov functions and building a new inequality, we obtain two kinds of sufficient conditions for the existence and global exponential stability of almost periodic solution for a Hopfield-type neural networks subject to almost periodic external stimuli. In this paper, we assume that the network parameters vary almost periodically with time and we incorporate variable delays in the processing part of the network architectures.  相似文献   

6.
The authors employ the method of upper and lower solutions coupled with the monotone iterative technique to obtain some results on the existence and uniqueness of the solution for anti-periodic boundary value problem of delay differential equations.  相似文献   

7.
A non-autonomous single species dispersal model is considered, in which individual member of the population has a life history that goes through two stages, immature and mature. By applying the theory of monotone and concave operators to functional differential equations, we establish conditions under which the system admits a positive periodic solution which attracts all other positive solutions.  相似文献   

8.
In this paper,we discuss a simplified model of mitosis in frog eggs proposed by M.T. Borisuk and J.J. Tyson in [1]. By using rigorous qualitative analysis, we prove the existence of the periodic solutions on a large scale and present the space region of the periodic solutions and the parameter region coresponding to the periodic solution. We also present the space region and the parameter region where there are no periodic solutions. The results are in accordance with the numerical results in [1] up to the qualitative property.  相似文献   

9.
This paper is to study the existence and attractivity of almost periodic solution for Hopfield-Type delay cellular neural networks(HDCNNs) with variable coefficientsby combining the theory of the exponential dichotomy and Lyapunov functionals method and combine with some analysis techniques. We obtain some sufficient conditions to ensure the networks to have a unique almost periodic solution, and all other solutions converge to this solution.  相似文献   

10.
If we knew the existence of upper and lower solutions u, v of a coupled reaction-diffusion system with quasi-monotone nonlinear reaction functions, then we can prove the existence of a solution ω of the same system such that u<ω相似文献   

11.
In this paper, we study the Logistic type equation x= a(t)x -b(t)x^2+ e(t). Under the assumptions that e(t) is small enough and a(t), b(t) are contained in some positive intervals, we prove that this equation has a positive bounded solution which is stable. Moreover, this solution is a periodic solution if a(t), b(t) and e(t) are periodic functions, and this solution is an almost periodic solution if a(t), b(t) and e(t) are almost periodic functions.  相似文献   

12.
ThePeriodicSolutionsofPartialVariablesforAnClassofLinearPeriodicSystems¥WangHut;LuMenglin(HenanUniversity)(ZhengzhouLightIndu...  相似文献   

13.
研究了一类具无穷时滞的中立型周期微分系统周期解的存在性问题.利用指数型二分性及Krasnoselskii不动点定理,建立了保证该系统的周期解的存在性的充分条件.所得结果推广了文[1-7]的有关结果.  相似文献   

14.
考虑具有周期传染率和垂直传染的S IR流行病模型,分析了该模型的动力学性态.对小振幅的周期垂直传染率模型,给出了模型周期解的近似表达式,证明了该周期解的稳定性,并做了数值模拟,显示出周期解可能是全局稳定的.  相似文献   

15.
非自治Ginzburg-Landau方程的周期解和全局周期吸引子   总被引:1,自引:0,他引:1  
研究受周期外力影响的非自治Ginzburg-Landau方程的解的长时间行为.首先证明系统在空间H上存在周期解,而且周期解包含在空间V中的一个有界吸收集内.然后证明了当耗散系数λ满足一定条件时,该系统在空间H上具有唯一的周期解,该周期解指数吸引H中的任意有界集.  相似文献   

16.
给出 Riccati型方程x=A( t) x2 m+B( t) x2 k- 1 +C( t)( A( t) ,B( t) ,C( t)是周期为 T的连续函数 ,m,k∈ N且 m≥ k)无周期解及存在周期解的充分条件 .  相似文献   

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18.
通过构造上、下控制函数,结合上、下解方法及相应的单调迭代方法研究了一类时滞反应扩散方程,证明了在反应项非单调时,如果一雏边值问题存在一对周期(或概周期)上、下解,则方程一定存在唯一的周期(或概周期)解.并给出了二维边值问题周期(或概周期)解存在唯一性的充分条件.推广了已有的一些结果。  相似文献   

19.
20.
On Periodic Solution of Nonconservative Systems   总被引:2,自引:0,他引:2  
61.IntroductionandPreliminariesConsiderthefollowingnonconservativesystemsxH Bxl gradG(x,t)=O.'(l-1)WhereBisasymmetricconstantnXnmatrixandG:M '-R'isacontinuousfunction2K-pe-riodicwithrespecttot,C'-differentiablewithrespecttox.ThereweremanyauthorswhohaddiscussedtheexistenceanduniquenceofthePeriodicsolutionofthesystems(1.1)lforin-stance,seeL1~3'7~8Jetc.ThepurPoseofthispaperistogeneralizetheresultsof[l~3jandmakethemascorollariesif]lBlI2相似文献   

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