共查询到20条相似文献,搜索用时 15 毫秒
1.
Cone-valued Lyapunov functions and stability for impulsive functional differential equations 总被引:1,自引:0,他引:1
The stability criteria in terms of two measures for impulsive functional differential equations are established via cone-valued Lyapunov functions and Razumikhin technique. The stability can be deduced from the (Q0,Q)-stability of comparison impulsive differential equations. An example is given to illustrate the advantages of the results obtained. 相似文献
2.
Liping Wen Yuexin Yu Shoufu Li 《Journal of Computational and Applied Mathematics》2009,230(2):351-359
This paper is concerned with the stability and asymptotic stability of θ-methods for the initial value problems of nonlinear stiff Volterra functional differential equations in Banach spaces. A series of new stability and asymptotic stability results of θ-methods are obtained. 相似文献
3.
K.R. Kazmi M.I. Bhat Naeem Ahmad 《Journal of Computational and Applied Mathematics》2009,233(2):361-371
In this paper, we give the notion of M-proximal mapping, an extension of P-proximal mapping given in [X.P. Ding, F.Q. Xia, A new class of completely generalized quasi-variational inclusions in Banach spaces, J. Comput. Appl. Math. 147 (2002) 369–383], for a nonconvex, proper, lower semicontinuous and subdifferentiable functional on Banach space and prove its existence and Lipschitz continuity. Further, we consider a system of generalized implicit variational inclusions in Banach spaces and show its equivalence with a system of implicit Wiener–Hopf equations using the concept of M-proximal mappings. Using this equivalence, we propose a new iterative algorithm for the system of generalized implicit variational inclusions. Furthermore, we prove the existence of solution of the system of generalized implicit variational inclusions and discuss the convergence and stability analysis of the iterative algorithm. 相似文献
4.
Bingwen Liu Shuhua Gong Xuejun Yi Lihong Huang 《Journal of Computational and Applied Mathematics》2009,233(2):137-141
In this paper, we investigate the asymptotic behavior of solutions to a class of recurrent neural network model with delays. Without assuming M-matrix condition, it is shown that every solution of the network tends to an equilibrium point as t→∞. Our results improve and extend some corresponding ones already known. 相似文献
5.
Wentao Wang Guangxue Yue Chunxia Ou 《Journal of Computational and Applied Mathematics》2009,233(2):356-360
In this paper, we investigate the asymptotic behavior of solutions to a differential equation with multiple state-dependent delays. It is shown that every bounded solution of such an equation tends to a constant as t→∞. Our results improve and extend some corresponding ones already known. 相似文献
6.
Qiyi Fan Wentao Wang Xuejun Yi 《Journal of Computational and Applied Mathematics》2009,230(2):762-769
In this paper, we use the Leray–Schauder degree theory to establish new results on the existence and uniqueness of anti-periodic solutions for a class of nonlinear nth-order differential equations with delays of the form
x(n)(t)+f(t,x(n−1)(t))+g(t,x(t−τ(t)))=e(t).