STUDY OF NONLOCAL BOUNDARY-TERM PROBLEMS FOR ELLIPTIC-TYPE EQUATIONS USING THE METHOD OF INTEGRAL EQUATIONS

Abstract

In this article, nonlocal boundary value problems for elliptic differential equations are analyzed in depth based on the method of integral equations. The problem is reduced to an integral equation of the Fredholm type and the existence, uniqueness, and stability of the solution are proven using functional analysis methods. The results obtained generalize classical boundary value problems and offer an effective method for studying nonlocal conditional models.