论文标题

仿射Birkhoff - kellogg类型导致锥与功能微分方程的应用

An affine Birkhoff--Kellogg type result in cones with applications to functional differential equations

论文作者

Calamai, Alessandro, Infante, Gennaro

论文摘要

在此简短的说明中,我们通过经典的固定点索引证明了Birkhoff-Kellogg类型定理的仿射版本。我们应用结果来讨论受功能边界条件的功能微分方程的一类边界价值问题的解决性。我们在一个示例中说明了我们的理论结果。

In this short note we prove, by means of classical fixed point index, an affine version of a Birkhoff--Kellogg type theorem in cones. We apply our result to discuss the solvability of a class of boundary value problems for functional differential equations subject to functional boundary conditions. We illustrate our theoretical results in an example.

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