一类四阶奇异边值问题对称正解的最优存在性

摘要

In this paper, we study a fourth-order singular boundary value problem. Using the Leggett-Williams fixed point theorem together with constructing a special cone, we establish optimal existence of symmetric positive solutions for a fourth-order singular boundary value problem under certain conditions, which generalizes optimal existence of symmetric positive solutions to singular boundary value problem.%本文研究了一类四阶奇异边值问题。通过建立一个特定的锥，利用Leggett-Williams 不动点定理，从而在一定的条件下得到一类四阶奇异边值问题对称正解的最优存在性，推广了奇异边值问题对称正解的最优存在性的结果。