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

2021

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DOI 10.3103/s1066369x21090024
Data confidence 85 high
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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.