Stability of nonlinear impulsive partial differential equations

Author

Luo, Qi ; Zhang, Yu-tian

Author_Institution

Dept. of Inf. & Commun., Nanjing Univ. of Inf. Sci. & Technol., China

Volume

2

fYear

2005

fDate

18-21 Aug. 2005

Firstpage

965

Abstract

Stability of a class of nonlinear impulsive partial differential equations is discussed in this paper. The main idea is translating stability of the considered nonlinear impulsive partial differential equation into that of the corresponding linear impulsive ordinary differential equation via Gronwall-Bellman inequality with impulse on the basis of comparison theorem. Some theoretical criteria for stability of nonlinear impulsive partial differential equations are then given.

Keywords

linear differential equations; nonlinear differential equations; partial differential equations; stability criteria; Gronwall-Bellman inequality; linear impulsive ordinary differential equation; nonlinear impulsive partial differential equation stability; Boundary conditions; Chromium; Cybernetics; Differential equations; Educational institutions; Information science; Machine learning; Partial differential equations; Stability analysis; Stability criteria; Stability; impulsive; nonlinear; partial differential equation;

fLanguage

English

Publisher

ieee

Conference_Titel

Machine Learning and Cybernetics, 2005. Proceedings of 2005 International Conference on

Conference_Location

Guangzhou, China

Print_ISBN

0-7803-9091-1

Type

conf

DOI

10.1109/ICMLC.2005.1527083

Filename

1527083