New results on exponential stability of nonlinear Volterra integro-differential equations with constant time-lag
Year: 2025
Type: article
Abstract: In the present work, we pay attention to a number of nonlinear Volterra integro-differential equations (VIDEs) with constant time-lag. We define three new Lyapunov functionals (LFs) and employ them to get specific conditions guaranteeing the uniform exponential asymptotic stability (UEAS) of the trivial solutions of the (VIDEs) considered. The results obtained generalize, compliment and improve the existing results in the literature from the cases of the without delay to the more general cases with time-lag.
Source: Proyecciones (Antofagasta)
Authors: Cemil Tunç, Sizar Abid Mohammed
Institutions: Van Yüzüncü Yıl Üniversitesi, University of Duhok
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4409499115