On the relation between oscillation of solutions of differential equations and corresponding equations on time scales
Stanzhytskyi O. Uteshova R. Tsan V. Khaletska Z.
2023TUBITAK
Turkish Journal of Mathematics
2023#47Issue 2476 - 501 pp.
This paper studies oscillatory properties of solutions of a dynamic equation on the set of time scales Tλ provided that the graininess function μλ approaches zero as λ → 0. We derived the conditions under which oscillation of solutions of differential equations implies that of solutions of the corresponding equations defined on time scales with the same initial data, and vice versa
generalized zero , graininess function , oscillation , Time scale , Δ−derivative
Text of the article Перейти на текст статьи
Taras Shevchenko National University of Kyiv, Kyiv, Ukraine
Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan
International Information Technology University, Almaty, Kazakhstan
Central Ukrainian Vynnychenko State Pedagogical University, Kropyvnytskyi, Ukraine
Taras Shevchenko National University of Kyiv
Institute of Mathematics and Mathematical Modeling
International Information Technology University
Central Ukrainian Vynnychenko State Pedagogical University
10 лет помогаем публиковать статьи Международный издатель
Книга Публикация научной статьи Волощук 2026 Book Publication of a scientific article 2026