Title :
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
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;
Conference_Titel :
Machine Learning and Cybernetics, 2005. Proceedings of 2005 International Conference on
Conference_Location :
Guangzhou, China
Print_ISBN :
0-7803-9091-1
DOI :
10.1109/ICMLC.2005.1527083
