In this paper,the authors are concerned with the stability of the mix-delayed Cohen-Grossbergneural networks with nonlinear impulse by the nonsmooth analysis.Some novel sufficientconditions are obtained for the existe...In this paper,the authors are concerned with the stability of the mix-delayed Cohen-Grossbergneural networks with nonlinear impulse by the nonsmooth analysis.Some novel sufficientconditions are obtained for the existence and the globally asymptotic stability of the unique equilibriumpoint,which include the well-known results on some impulsive systems and non-impulsive systems asits particular cases.The authores also analyze the globally exponential stability of the equilibriumpoint.Two examples are exploited to illustrate the feasibility and effectiveness of our results.展开更多
In this paper, a class of delay differential equations with nonlinear impulsive control is discussed. Based on the nonsmooth analysis, criteria of stability are obtained for delay differential equations with nonlinear...In this paper, a class of delay differential equations with nonlinear impulsive control is discussed. Based on the nonsmooth analysis, criteria of stability are obtained for delay differential equations with nonlinear impulses control under certain conditions. These criteria can be applied to some neural network models. At the end of the paper, two examples are provided to illustrate the feasibility and effectiveness of the proposed results.展开更多
For the nonlinear degenerate parabolic equations,how to find an appropriate boundary value condition to ensure the well-posedness of weak solution has been an interesting and challenging problem.In this paper,we devel...For the nonlinear degenerate parabolic equations,how to find an appropriate boundary value condition to ensure the well-posedness of weak solution has been an interesting and challenging problem.In this paper,we develop the general characteristic function method to study the stability of weak solutions based on a partial boundary value condition.展开更多
基金supported by the National Natural Science Foundation of China under Grant No. 10872014the Natural Science Foundation of Fujian Province of China under Grant No. S0750008partially supported by UTPA Faculty Research Council under Grant No. 119100
文摘In this paper,the authors are concerned with the stability of the mix-delayed Cohen-Grossbergneural networks with nonlinear impulse by the nonsmooth analysis.Some novel sufficientconditions are obtained for the existence and the globally asymptotic stability of the unique equilibriumpoint,which include the well-known results on some impulsive systems and non-impulsive systems asits particular cases.The authores also analyze the globally exponential stability of the equilibriumpoint.Two examples are exploited to illustrate the feasibility and effectiveness of our results.
基金supported by Natural Science Foundation of China under Grant Nos.10972018 and 11072013
文摘In this paper, a class of delay differential equations with nonlinear impulsive control is discussed. Based on the nonsmooth analysis, criteria of stability are obtained for delay differential equations with nonlinear impulses control under certain conditions. These criteria can be applied to some neural network models. At the end of the paper, two examples are provided to illustrate the feasibility and effectiveness of the proposed results.
文摘For the nonlinear degenerate parabolic equations,how to find an appropriate boundary value condition to ensure the well-posedness of weak solution has been an interesting and challenging problem.In this paper,we develop the general characteristic function method to study the stability of weak solutions based on a partial boundary value condition.
