Stability of semilinear stochastic evolution equations
Stability of semilinear stochastic evolution equations
复制标题
DOI：
10.1016/0022-247x(82)90041-5
复制
发表时间：
1982-11
影响因子：
1.3
通讯作者：
A. Ichikawa
中科院分区：
文献类型：
--
作者：
A. Ichikawa
研究了半线性随机演化方程温和解的矩稳定性，并给出了用李雅普诺夫函数表示的p阶矩的指数稳定性的充分条件。还得到了解的样本连续性的充分条件，并证明了样本路径的指数稳定性。给出了三个例子来说明该理论。
Stability of moments of the mild solution of a semilinear stochastic evolution equation is studied and sufficient conditions are given for the exponential stability of thepth moment in terms of Liapunov function. Sufficient conditions for sample continuity of the solution are also obtained and the exponential stability of sample paths is proved. Three examples are given to illustrate the theory.