In this work, we apply the extension of Mawhin’s coincidence degree theory by Ge and Ren to show existence of at least one solution to the nonlinear higher order p-Laplacian boundary value problems with integral boundary conditions on the half-line. The results obtained generalizes and compliments existing results in the literature. An example will be used to validate our result.

中文翻译：

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半线上具有积分边界条件的高阶 p-Laplacian 边界值问题

在这项工作中，我们应用 Ge 和 Ren 对 Mawhin 重合度理论的扩展，以证明在半线上具有积分边界条件的非线性高阶 p-Laplacian 边界值问题至少存在一个解。获得的结果概括并补充了文献中的现有结果。将使用一个示例来验证我们的结果。