Abstract

In this article, we consider the scattering problem for the Sturm–Liouville operator on the positive half-line with boundary condition depending quadratically of spectral parameter.The scattering data is defined. The resolvent operator is constructed and the expansion formula is obtained.

中文翻译：

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一类Sturm–Liouville算子的展开式

摘要

在本文中，我们考虑了Sturm–Liouville算子在正半线上的散射问题，其边界条件取决于光谱参数。定义了散射数据。构造了可分解算子，并得到了展开公式。