engleski

Global Non-monotonicity of Solutions to Nonlinear Second- Order Differential Equations

We study behavior of solutions to two classes of nonlinear second-order differential equations with a damping term. Sufficient conditions for the first derivative of a solution x(t) to change sign at least once in a given interval (in a given infinite sequence of intervals) are provided. These conditions imply global non-monotone behavior of solutions.

Nonlinear differential equations ; non-monotone behaviour ; second order ; damping term ; reciprocal equation

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