Turkish Journal of Mathematics
Abstract
The behavior of solutions of a perturbed dynamic system with respect to an original unperturbed dynamic system, which have initial time difference, are investigated on arbitrary time scales. Notions of stability, asymptotic stability, and instability with initial time difference are introduced. Sufficient conditions of stability properties are given with the help of Lyapunov-like functions.
DOI
10.3906/mat-1307-67
Keywords
Time scales, stability, Lyapunov-like functions, comparison results, initial time difference
First Page
1
Last Page
15
Recommended Citation
YAKAR, COŞKUN and OĞUR, BÜLENT
(2015)
"Stability of perturbed dynamic system on time scales with initial time difference,"
Turkish Journal of Mathematics: Vol. 39:
No.
1, Article 1.
https://doi.org/10.3906/mat-1307-67
Available at:
https://journals.tubitak.gov.tr/math/vol39/iss1/1
