一类四阶奇摄动的本征值问题

A Class of Singularly Perturbed Eigenvalue Problems of Fourth Order

利用构造线性微分方程渐近解的方法,讨论一类带有边界条件的本征值奇摄动问题的解,得出了本征值和对应的本征函数解的渐近表示式.

By means of the method of constructing asymptotic solution of linear differential equations. The solutions for a class of singularly perturbed eigenvalue problems with boundary conditions were discussed. The asymptotic expansions for the eigenvalue and corresponding eigenfunction was obtained.