Displaying similar documents to “On Lyapunov stability/instability of equilibria of free damped pendulum with periodically oscillating suspension point”

Stability, Boundedness and Existenceof Periodic Solutions to Certain Third Order Nonlinear Differential Equations

A. T. ADEMOLA, M. O. OGUNDIRAN, P. O. ARAWOMO (2015)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

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In this paper, criteria are established for uniform stability, uniform ultimate boundedness and existence of periodic solutions for third order nonlinear ordinary differential equations. In the investigation Lyapunov’s second method is used by constructing a complete Lyapunov function to obtain our results. The results obtained in this investigation complement and extend many existing results in the literature.

Pullback incremental attraction

Peter E. Kloeden, Thomas Lorenz (2014)

Nonautonomous Dynamical Systems

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A pullback incremental attraction, a nonautonomous version of incremental stability, is introduced for nonautonomous systems that may have unbounded limiting solutions. Its characterisation by a Lyapunov function is indicated.