Differential-Boundary Equations with Algebraic Terms and Associated Boundary Value Problems


Artykbayeva Z. Kanguzhin B.
2025SINUS Association

Carpathian Journal of Mathematics
2025#41Issue 4899 - 912 pp.

In this paper, differential-boundary operators with algebraic terms are considered. The question is posed: how many and what kind of conditions should be added to the original equation for the resulting problem to have a unique solution in some space? What is the structure of the inverse operator? Comprehensive answers to these questions are provided. Illustrative examples are given.

boundary value problem , Differential-algebraic equation , differential-boundary operator , inverse operator , uniqueness of solutions

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AL–FARABI KAZAKH NATIONAL UNIVERSITY, ALMATY, Kazakhstan
INSTITUTE OF MATHEMATICS AND MATHEMATICAL MODELING, ALMATY, Kazakhstan

AL–FARABI KAZAKH NATIONAL UNIVERSITY
INSTITUTE OF MATHEMATICS AND MATHEMATICAL MODELING

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