@article{Martynyuk2025, 
author = {Anatoliy Martynyuk and Ivanka Stamova and Yulya Martynyuk–Chernienko},
title = {Estimation of the integral funnel for solutions of equations of perturbed motion with uncertain parameters},
year = {2025},
journal = {AIMS Mathematics},
volume = {10},
number = {9},
pages = {21581-21594},
keywords = {scalar nonlinear equation, uncertain parameters, nonporous fence, funnel, antifunnel},
url = {https://www.sciopen.com/article/10.3934/math.2025959},
doi = {10.3934/math.2025959},
abstract = {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.}
}