On the Relationship Between Solutions of Boundary Value Problems for Differential Equations and Corresponding Problems for Dynamic Equations on Time Scales
Stanzhytskyi O. Uteshova R.
30 March 2026John Wiley and Sons Ltd
Mathematical Methods in the Applied Sciences
2026#49Issue 54350 - 4366 pp.
This paper investigates the relationship between solutions of boundary value problems for ordinary differential equations and those for a family of dynamic equations on time scales. The main result demonstrates that, when the graininess tends to zero, the solvability of the problem for the family of dynamic equations ensures the solvability of its continuous counterpart. The opposite result is also established.
boundary value problem , graininess function , time scale , Δ-derivative
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Taras Shevchenko National University of Kyiv, Kyiv, Ukraine
Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan
Taras Shevchenko National University of Kyiv
Institute of Mathematics and Mathematical Modeling
10 лет помогаем публиковать статьи Международный издатель
Книга Публикация научной статьи Волощук 2026 Book Publication of a scientific article 2026