In this paper we investigate a parameter-dependent nonlocal differential equations with convolution coefficients. Using the Birkhoff–Kellogg type theorem, existence of positive solutions is established. Under additional growth conditions, we obtain upper and lower bounds for the parameter. An example is also given to illustrate the main results.

中文翻译：

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具有卷积系数的参数相关非局部微分方程的正解

在本文中，我们研究具有卷积系数的参数相关非局部微分方程。使用 Birkhoff-Kellogg 型定理，确定正解的存在性。在额外的生长条件下，我们获得参数的上限和下限。还给出了一个例子来说明主要结果。