Title of article :
THEORY, METHODS and APPLICATIONS OF INITIAL TIME DIFFERENCE BOUNDEDNESS CRITERIA and LAGRANGE STABILITY IN TERMS OF TWO MEASURES FOR NONLINEAR SYSTEMS
Author/Authors :
Yakar, Coskun Gebze Institute of Technology - Department of Mathematics, Gebze, Turkey , Cicek, Muhammed Gebze Institute of Technology - Department of Mathematics, Gebze, Turkey
Abstract :
This paper investigates the initial time difference equi-boundedness criteria in terms of two measures, initial time difference boundedness and Lagrange Stability in terms of two measures. These are unified with Lyapunov-like functions to establish a variational comparison result. We support our new results with analytic examples and numerical applications.
Keywords :
Initial time difference , Perturbed differential systems , Boundedness and Lagrange stability , In terms of two measures , Variational comparison result
Journal title :
Hacettepe Journal Of Mathematics and Statistics
Journal title :
Hacettepe Journal Of Mathematics and Statistics