Title of article :
Stability of perturbed dynamic system on time scales with initial time difference
Author/Authors :
YAKAR, COŞKUN Gebze Institute of Technology - Faculty of Sciences - Department of Mathematics, Turkey , OĞUR, BÜLENT Gebze Institute of Technology - Faculty of Sciences - Department of Mathematics, Turkey
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.
Keywords :
Time scales , stability , Lyapunov , like functions , comparison results , initial time difference
Journal title :
Turkish Journal of Mathematics
Journal title :
Turkish Journal of Mathematics
