Inner stability and stabilization of Cohen-Grossberg generalized delay stochastic neural network with distributed parameter are discussed. The main method adopted is, combining inequality techniques, to apply Ito diff...Inner stability and stabilization of Cohen-Grossberg generalized delay stochastic neural network with distributed parameter are discussed. The main method adopted is, combining inequality techniques, to apply Ito differential formula to the constructed average function with respect to spatial variables along the system considered under the integral operator. Some sufficient conditions are given.展开更多
The stability analysis of linear multistep methods for the numerical solutions of the systems of generalized neutral delay differential equations is discussed. The stability behaviour of linear multistep methods was a...The stability analysis of linear multistep methods for the numerical solutions of the systems of generalized neutral delay differential equations is discussed. The stability behaviour of linear multistep methods was analysed for the solution of the generalized system of linear neutral test equations, After the establishment of a sufficient condition for asymptotic stability of the solutions of the generalized system, it is shown that a linear multistep method is NGP(G)-stable if and only if it is A-stable.展开更多
This paper deals with the stability analysis of implicit Runge-Kutta methods for the numerical solutions of systems of generalized neutral delay differential equations. The stability behaviour of implicit Runge-Kutta ...This paper deals with the stability analysis of implicit Runge-Kutta methods for the numerical solutions of systems of generalized neutral delay differential equations. The stability behaviour of implicit Runge-Kutta methods is analysed for the solution of the generalized system of linear neutral test equations. After an establishment of a sufficient condition for asymptotic stability of the solutions of the generalized system, we show that a implicit Runge-Kutta method is NGPG-stable if and only if it is A-stable under some Lagrange interpolation condition.展开更多
基金the National Nature Science Foundation (10171067)E-Institutes of Shanghai Municipal Education Commission (E03004)+2 种基金Shanghai Municipal Education Commission (04DB07)Shanghai Science and Technology Committee (03QA14036)The Special Funds for Ma
文摘Inner stability and stabilization of Cohen-Grossberg generalized delay stochastic neural network with distributed parameter are discussed. The main method adopted is, combining inequality techniques, to apply Ito differential formula to the constructed average function with respect to spatial variables along the system considered under the integral operator. Some sufficient conditions are given.
基金Foundation item: the National Nature Science Foundation (10171067) Shanghai Municipal Education Commission (04DB07)The Special Funds for Major Specialties of Shanghai Education Committee.
文摘The stability analysis of linear multistep methods for the numerical solutions of the systems of generalized neutral delay differential equations is discussed. The stability behaviour of linear multistep methods was analysed for the solution of the generalized system of linear neutral test equations, After the establishment of a sufficient condition for asymptotic stability of the solutions of the generalized system, it is shown that a linear multistep method is NGP(G)-stable if and only if it is A-stable.
文摘This paper deals with the stability analysis of implicit Runge-Kutta methods for the numerical solutions of systems of generalized neutral delay differential equations. The stability behaviour of implicit Runge-Kutta methods is analysed for the solution of the generalized system of linear neutral test equations. After an establishment of a sufficient condition for asymptotic stability of the solutions of the generalized system, we show that a implicit Runge-Kutta method is NGPG-stable if and only if it is A-stable under some Lagrange interpolation condition.
