Elements of stability theory of A.M. Liapunov for dynamic equations on time scales
Stability of dynamic equations on time scales is investigated in this paper. The main results are new conditions for stability, uniform stability, and uniform asymptotic stability of quasilinear and nonlinear systems.
A. A. Martynyuk and M. Bohner, "Elements of stability theory of A.M. Liapunov for dynamic equations on time scales," Nonlinear Dynamics and Systems Theory, Infor Math Publishing Group, Jan 2007.
Mathematics and Statistics
Keywords and Phrases
Dynamic equation on time scales; Liapunov functions; asymptotic stability; nonlinear integral inequality; stability; uniform stability
Article - Journal
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