三阶奇异边值问题对称正解的最优存在性(英文)

Optimal Existence Criteria for Symmetric Positive Solutions of Third-order Singular Boundary Value Problems

本文利用Leggett-Williams不动点定理,通过构造特殊的锥,得到了三阶奇异边值问题三个对称正解最优存在性的新结果,最后,通过具体的例子说明了我们所得结果的有效性。

In this paper, based on the Leggett-Williams fixed point theorem together with constructing a special cone, some new optimal existence results of triple symmetric positive solutions of third-order singular boundary value problems are obtained. Finally, an example demon-strates the validity of the main results.