TY  - JOUR
AU  - Martynyuk, Anatoliy
AU  - Stamova, Ivanka
AU  - Martynyuk–Chernienko, Yulya
PY  - 2025
TI  - Estimation of the integral funnel for solutions of equations of perturbed motion with uncertain parameters
JO  - AIMS Mathematics
SP  - 21581
EP  - 21594
VL  - 10
IS  - 9
AB  - In this article, for scalar nonlinear equations with uncertain parameters, a new approach has been proposed for studying the integral funnel (antifunnel) of a family of their solutions. Efficient conditions for a family of solutions to remain in an integral funnel (antifunnel) and conditions for narrowing of the integral funnel were established. The proposed approach is based on a comparison scheme and a set of regularized differential equations. The obtained results contribute to the development of the qualitative theory of uncertain systems and to the expansions of the appropriate applications.
UR  - https://doi.org/10.3934/math.2025959
DO  - 10.3934/math.2025959