Convergence and stability analysis of system of partial differential equations under Markovian structural perturbations–ii:vextor Lyapunov–like functionals
作者:
M.J. Anabtawi,
G.S. Ladde,
期刊:
Stochastic Analysis and Applications
(Taylor Available online 2000)
卷期:
Volume 18,
issue 5
页码: 671-696
ISSN:0736-2994
年代: 2000
DOI:10.1080/07362990008809692
出版商: Marcel Dekker, Inc.
数据来源: Taylor
摘要:
In this paper we employ the theory of dererministic ordinary differential inequalities together with the concept of vector Lyapunov–like functional to develop basic comparison theorems for system of partial differential equations of parabolic type under Markovian structural perturbations.These results will be utilized to give sufficient conditions for the convergence and stability of the solution process of the system.We also characterize the effects of the random structural perturbations on the qualitative properties of such system. Moreover,the Lyapunov–like functional approach provides a mechanism to characterize the diffusion effects on the qualitative properties of the system.
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