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\(h\)-stability of the nonlinear perturbed dynamic systems on time scales. (Chinese. English summary) Zbl 1299.34298

Summary: This paper investigates nonlinear perturbed dynamic systems on time scales, and obtains sufficient conditions for the \(h\)-stability of such systems by using Lyapunov’s method and the comparison principle.

MSC:

34N05 Dynamic equations on time scales or measure chains
34D20 Stability of solutions to ordinary differential equations