Author: Mervan Pašić

0000000000594608

AUTHOR

Mervan Pašić

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

2018

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.

Differential equationGeneral Mathematics010102 general mathematicsMonotonic functionInterval (mathematics)01 natural sciencesNonlinear differential equationsTerm (time)010101 applied mathematicsSecond order differential equationsNonlinear systemApplied mathematics0101 mathematicsNonlinear differential equations ; non-monotone behaviour ; second order ; damping term ; reciprocal equationSign (mathematics)MathematicsMediterranean Journal of Mathematics

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