含参数的非线性抛物方程解的稳定性

The stability of solution of nonlinear parabolic equation with parameter

研究了一类含一个参数的非线性抛物方程非定态边值问题。采用李雅普诺夫方法研究了此边值问题解的稳定性,得到了该定态解稳定的新结果,并发展了以往文献中的结果。

The boundary value problems of nosteady states of nonlinear parabolic equation with parameter is studied. The stability of solution of the boundary value problems is obtained by applying Lyapunov functional method. The results obtained are new and have practical value and which is the impovement of result in previons papers.