Unpredictable solutions of quasilinear differential equations with generalized piecewise constant arguments of mixed type

Tleubergenova M. Çinçin D.A. Nugayeva Z. Akhmet M.
2023 SINUS Association

Carpathian Journal of Mathematics
2023 #39 Issue 1 265 - 280 pp.

An unpredictable solution is found for a quasilinear differential equation with generalized piece-wise constant argument (EPCAG). Sufficient conditions are provided for the existence, uniqueness and exponential stability of the unpredictable solution. The theoretical results are confirmed by examples and illustrated by simulations.

delayed and advanced argument , exponential stability , piecewise constant argument of generalized type , Poincaré chaos , quasilinear differential equation , unpredictable solution

Text of the article Перейти на текст статьи

K. ZHUBANOV AKTOBE REGIONAL UNIVERSITY, DEPARTMENT OF MATHEMATICS, AKTOBE, 030000, Kazakhstan
SÜLEYMAN DEMIREL UNIVERSITY, DEPARTMENT OF MATHEMATICS, ISPARTA, 32260, Turkey
MIDDLE EAST TECHNICAL UNIVERSITY, DEPARTMENT OF MATHEMATICS, ANKARA, 06531, Turkey
INSTITUTE OF INFORMATION AND COMPUTATIONAL TECHNOLOGIES DEPARTMENT OF MATHEMATICS, ALMATY, 050013, Kazakhstan

K. ZHUBANOV AKTOBE REGIONAL UNIVERSITY
SÜLEYMAN DEMIREL UNIVERSITY
MIDDLE EAST TECHNICAL UNIVERSITY
INSTITUTE OF INFORMATION AND COMPUTATIONAL TECHNOLOGIES DEPARTMENT OF MATHEMATICS

10 лет помогаем публиковать статьи Международный издатель

Книга Публикация научной статьи Волощук 2026 Book Publication of a scientific article 2026