一类带参数的积—微分方程的可解性

The Solvability of a Class of Integro-differential Paramteeric Equations

本文研究了一类具部分反射边界条件球对称介质、带参数λ的积—微分方程的可解性问题。运用泛函分析的理论和方法,证明了方程的临界本征值λ~o的存在性,并得出了方程非负解的存在性和唯一性。

In this paper the solvability of a class of integro-differential equations containing parameter λ under the partial reflecting boundary conditions in a spherical symmetric medium is studied. As a result of using the functional analysis, we proved the existence of the critical eigenvalue λ9 and obtained the existence and uniqueness of the non-negative solution to the equations.