Turkish Journal of Mathematics
Abstract
In this present study, we pay attention to a class of nonlinear neutral type systems (NNSs) with periodic coefficients and construct some assumptions guaranteeing the exponential stability (ES) of the trivial solutions of the system considered. To get specific conditions guaranteeing the ES, we use a modified Lyapunov functional. In conclusion, we get some estimates for the exponential decay of the solutions at infinity with the constructed sufficient conditions. We give two examples to demonstrate the applicability of the results obtained with the constructed assumptions.
DOI
10.55730/1300-0098.3444
Keywords
ES, exponential decay, Lyapunov functional, NNS, periodic coefficient
First Page
1508
Last Page
1527
Recommended Citation
ALTUN, YENER
(2023)
"Some estimates on the exponential stability of solutions of nonlinear neutral type systems with periodic coefficients,"
Turkish Journal of Mathematics: Vol. 47:
No.
5, Article 15.
https://doi.org/10.55730/1300-0098.3444
Available at:
https://journals.tubitak.gov.tr/math/vol47/iss5/15
