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The Lyapunov Stability for the Linear and Nonlinear Damped Oscillator with Time-Periodic Parameters

The Lyapunov Stability for the Linear and Nonlinear Damped Oscillator with Time-Periodic Parameters

Let a ( t ), b ( t ) be continuous T ‐periodic functions with . We establish one stability criterion for the linear damped oscillator x ′′ + b ( t ) x ′ + a ( t ) x = 0. Moreover, based on the computation of the …