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A Family of Two-Point Boundary Value Problems for Loaded Differential Equations

A. T. AssanovaInstitute of Mathematics and Mathematical Modeling,Ministry of Education and Science Republic of Kazakhstan, 125 Pushkin str., 050010, Almaty, Republic of KazakhstanA. ZholamankyzyInstitute of Mathematics and Mathematical Modeling,Ministry of Education and Science Republic of Kazakhstan, 125 Pushkin str., 050010, Almaty, Republic of Kazakhstan
2021en
ABI

Abstract

A family of two-point boundary value problems for loaded differential equations is considered on a rectangular domain. By introducing new additional functions, the considered problem is reduced to an equivalent family of problems for differential equations with parameters. Sufficient existence conditions of the unique solution to the family of two-point boundary value problems for loaded differential equations are established in terms of input data.

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