ABSTRACT

In this article, we study the $L^p$ solution of the Fredholm integral equation with parameters. On the one hand, we use Hilbert-type inequality to study Chandrasekhar-type integral operators, generalize the reachability results for the norm of the Chandrasekhar integral operator, and establish the existence and uniqueness results of the solutions of Chandrasekhar-type integral equations with parameters. On the other hand, we develop an iterative kernel technique for integral equations in infinite intervals, and construct series solutions of general Fredholm integral equations with parameters in different $L^p$ spaces.

中文翻译：

---

与 Chandrasekhar 核相关的参数化 Fredholm 积分方程的 LP 解

摘要

在本文中，我们研究了${\mathrm{大号}}^p$带参数的 Fredholm 积分方程的解。一方面，利用Hilbert型不等式研究Chandrasekhar积分算子，推广Chandrasekhar积分算子范数的可达性结果，建立带参数Chandrasekhar积分方程解的存在唯一性结果. 另一方面，我们开发了一种无限区间积分方程的迭代核技术，并构造了具有不同参数的一般 Fredholm 积分方程的级数解。${\mathrm{大号}}^p$空格。