论文信息 - Stability region of nonlinear integrodifferential equations

Stability region of nonlinear integrodifferential equations

Abstract This paper is devoted to the investigation of the asymptotic or exponential stability region for a class of nonlinear integrodifferential equations. We obtain two theorems to determine the stability region using the properties of nonnegative matrices and the techniques of inequalities. The main theorems are illustrated by two examples.

[1] V. Kolmanovskii,et al. Stability of Functional Differential Equations , 1986 .

[2] Y. Zhang,et al. Stability of nonlinear analytic integrodifferential equations , 1995 .

[3] Daoyi Xu,et al. Domain of attraction of nonlinear functional difference systems , 1999 .

[4] W. Walter. Differential and Integral Inequalities , 1970 .

[5] Charles R. Johnson,et al. Matrix analysis , 1985, Statistical Inference for Engineers and Data Scientists.