二阶超线性Sturm-Liouville积分边值问题的非平凡解

Nontrivial Solutions of Superlinear Second-Order Sturm-Liouville Problem with Integral Boundary Conditions

文中研究了一类二阶Sturm-Liouville边值问题。利用全连续域上的拓扑度理论及对应线性问题的第一特征值,得到了非平凡解的存在性结果。

This paper studies a class of second order Sturm-Liouville boundary value problem. The existence results of nontrivial solutions are established under some conditions concerning the first eigenvalue corresponding to the relevant linear problem by means of the topological degree a completely continuous field.