共查询到20条相似文献,搜索用时 15 毫秒
1.
中立型泛函微分方程的周期解 总被引:1,自引:1,他引:0
对于中立型泛函微分方程,证明了解的毕竟有界性蕴含周期解的存在性,把常微分方程中著名的Yoshizawa周期解存在定理推广到中立型泛函微分方程,然后利用所得结果给出一类产生于电力系统的中立型时滞泛函微分方程周期解存在惟一与吸引的条件。 相似文献
2.
Zhijun Liu 《Journal of Mathematical Analysis and Applications》2004,293(1):181-189
In this paper we study the existence of positive periodic solutions for a class of neutral type competitive system with delay. Applying the continuation theorem of coincidence degree theory, a general criteria on the existence of positive periodic solutions are established. Some the related results are generalized and improved. It is shown that the arguments delays have no effect on the existence positive periodic solution of system. 相似文献
3.
《Nonlinear Analysis: Real World Applications》2007,8(1):204-221
Based on the coincidence degree theory and its related continuation theorem as well as some a priori estimates, we explore the existence of periodic solutions with strictly positive components of a neutral delayed Lotka–Volterra competitive system with impulse. Easily verifiable sufficient criteria are established for the existence of positive periodic solution for the neutral impulsive system. When the results reduce to neutral system without impulse, they generalize the results in Yang and Cao [Positive periodic solutions of neutral Lotka–Volterra system with periodic delays, Appl. Math. Comput. 149 (2004) 661–687]. 相似文献
4.
《Nonlinear Analysis: Real World Applications》2008,9(2):430-437
In this note we establish the existence of pseudo-almost periodic solutions for a non-autonomous partial neutral functional differential with unbounded delay. We apply our abstract results to establish the existence of this type of solutions for a neutral differential equation which arises in the theory of heat conduction in materials with fading memory. 相似文献
5.
《Nonlinear Analysis: Real World Applications》2008,9(3):1012-1023
In this paper, we consider certain first-order neutral differential system with two parameters. Some existence results of one positive periodic solution and two positive periodic solutions and nonexistence of positive periodic solutions are obtained. Our approach is based on Krasnoselskii fixed point theorem in cones. 相似文献
6.
7.
Manuel Pinto 《Nonlinear Analysis: Theory, Methods & Applications》2010,72(12):4377-4383
The existence and uniqueness of pseudo-almost periodic solutions to general neutral integral equations with deviations are obtained. For this, pseudo-almost periodic functions in two variables are considered. The results extend the corresponding ones to the convolution type integral equations. They are used to study pseudo-almost periodic solutions of general neutral differential equations and to the so-called scalar neutral logistic equation version. 相似文献
8.
9.
In this paper, we consider a type of second-order neutral functional differential equations. We obtain some existence results of multiplicity and nonexistence of positive periodic solutions. Our approach is based on a fixed point theorem in cones. 相似文献
10.
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
11.
Wang Haiqing 《Annals of Differential Equations》2006,22(1):62-68
Using the theory of coincidence degree, the authors studied the existence of periodic solutions for higher order delay functional differential equations of neutral type with restoring terms and some new results for the existence of periodic solutions have been obtained. 相似文献
12.
关于高阶常系数线性中立型方程周期解的讨论 总被引:14,自引:2,他引:12
本文讨论高阶常系数线性中立型方程的周期解问题,作者利用Fourier级数理论给出周期解存在,唯一的充分必要条件,所得结果包含和推广了文献[1]中的结果。 相似文献
13.
具有无限时滞的中立型高维周期微分系统的周期解 总被引:5,自引:0,他引:5
本文考虑中立型高维周期微分系统d/dt(x(t)+cx(t-r))=A(t,x(t-r(t)))x(t)+ ∫t-∞C(t,s)x(s)ds+f(t,xt)+b(t)的T-周期解的存在性问题,利用线性系统的指数型 二分性和Krasnoselskii不动点定理,建立了保证系统存在T-周期解的充分条件. 相似文献
14.
15.
In this paper, by using the theory of abstract continuation theorem of k contractive operator, we study the existence of periodic solutions for neutral type cellular neural networks with delays. 相似文献
16.
通过构造算子利用Krasnoselskii不动点定理和线性系统的指数二分性讨论了一类具有无穷时滞非线性中立型高维周期微分系统的周期解存在性问题.得到保证系统存在周期解的新的充分条件. 相似文献
17.
We consider the problem on periodic solutions for linear systems of functionaldifferential equations of neutral type with
periodic coefficients and periodic deviations of the argument. By reduction to associated functional equations, we derive
necessary and sufficient conditions under which the problem on periodic solutions for such a system is Fredholm or semi-Fredholm. 相似文献
18.
利用迭合度理论的相关内容,讨论得到了有脉冲影响的中立型时滞Lotka-Volterra系统的正周期解存在的充分条件. 相似文献
19.
研究一类具有混合时滞的中立型Hopfield神经网络概周期解.通过运用指数二分性及不动点定理,获得了其概周期解的存在性与全局指数稳定性的充分条件,所得结果是新的,并且推广和改进了已有文献的相关结果. 相似文献
20.
Shangjiang Guo Jeroen S. W. Lamb 《Proceedings of the American Mathematical Society》2008,136(6):2031-2041
In this paper we employ an equivariant Lyapunov-Schmidt procedure to give a clearer understanding of the one-to-one correspondence of the periodic solutions of a system of neutral functional differential equations with the zeros of the reduced bifurcation map, and then set up equivariant Hopf bifurcation theory. In the process we derive criteria for the existence and direction of branches of bifurcating periodic solutions in terms of the original system, avoiding the process of center manifold reduction.