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Green’s function of a boundary value problem for a second-order differential equation with involution

A. A. SarsenbiM. Auezov South Kazakhstan University, Shymkent, KazakhstanE. MussirepovaM. Auezov South Kazakhstan University, Shymkent, Kazakhstan
2022en
ABI

Abstract

A boundary value problem for a second-order differential equation with involution in the second derivative is considered. The existence of linearly independent solutions of the studied equation is established. The definition of the Green’s function is given. The existence of eigenvalue problems for eigenvalue problems is proved. The Green’s function is constructed in the case of a Dirichlet-type problem.

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Cited by 20 references