含参数的非线性抛物方程解的稳定性

摘要

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 Lya-punov functional method. The results obtained are new and have practical value and which is the im-povement of result in previons papers.