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Initial time difference stability in terms of two measures and a variational comparison result. (English) Zbl 1149.34034
This paper investigates initial time difference stability in terms of two measures and generalized variation of parameter techniques are unified with Lyapunov-like functions to establish a variational comparison result. At the beginning, the definitions necessary for the analysis of the initial time difference stability in terms of two measures are given. Further, a variational comparison result for vector Lyapunov-like functions is presented and applied to establish an initial time difference stability criteria in terms of two measures. An example is presented to illustrate how the results can be applied.
MSC:
34D23Global stability of ODE
34D10Stability perturbations of ODE
34D05Asymptotic stability of ODE