数学
数学分析
纯数学
理论(学习稳定性)
抛物型偏微分方程
趋同(经济学)
希尔伯特空间
应用数学
作者
M. J. Anabtawi,S. Sathanathan
标识
DOI:10.1080/07362990902976223
摘要
Abstract In this article, we consider the following Ito-type stochastic parabolic partial differential equation where A and C are families of nonlinear operators in Hilbert spaces and w t is a Hilbert valued Wiener process. Under certain regularity conditions of operators A and C to guarantee a strong solution process of this partial differential equation, the concept of vector Lyapunov-like functional technique coupled with partial differential inequalities are utilized to develop a comparison principle to investigate various types of stability and convergence in the pth moment and in probability of the solution process of the system. An example is provided to demonstrate the significance of the results developed in this article.
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