In this paper we consider the Green function for a boundary value problem of generic order. For a specific case, the Leray–Schauder form of the fixed point theorem has been used to prove the existence of a solution for this particular equation. Our theoretical approach generalizes, extends, complements, and enriches several results in the existing literature.

中文翻译：

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定点定理存在十阶边值问题解

在本文中，我们考虑格林函数用于一般阶的边值问题。对于特定情况，不动点定理的Leray–Schauder形式已用于证明该特定方程式的解的存在。我们的理论方法概括，扩展，补充和丰富了现有文献中的一些结果。