Search

Abstract: A sufficient condition of stability of exponential Runge–Kutta methods for delay differential equations is obtained. Furthermore, a relationship between P-stability and GP-stability is established. It is proved that the numerical methods can preserve the analytical stability for a class of test problems. [Copyright &y& Elsevier]

Abstract: We describe a surface in which is called the stability cone. We prove necessary and sufficient stability conditions for the delay differential matrix equation . These conditions are formulated in terms of the location with respect to the stability cone of some points determined by the eigenvalues of matrices and the delay value. We require that matrices admit a simultaneous triangularization. [Copyright &y& Elsevier]

Abstract: In this work, we investigate the stability of a class of impulsive functional differential equations. Some general stability theorems are obtained. Our results can be applied to finite delay impulsive systems or infinite delay impulsive systems or impulsive systems involving both finite and infinite delays, in a unified way. Examples are also given to illustrate that applying our theorems yields better conclusions than the results in the literature. [Copyright &y& Elsevier]