- Turkish Journal of Mathematics
- Vol: 24 Issue: 2
- Oscillation Criteria for Second Order Nonlinear Differential Equations with Damping
Oscillation Criteria for Second Order Nonlinear Differential Equations with Damping
Authors : Aydin Tiryaki
Pages : 185-196
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Publication Date : 9999-12-31
Article Type : Makaleler
Abstract :Oscillation criteria are given for second order nonlinear differential equations with damping of the form (a(t) y (x ) \dot x)\dot{}+ p(t) \dot x + q (t) f (x ) = 0,\quad t\geq t0, where p and q are allowed to change signs on [t0,\infty). We employ the averaging technique to obtain sufficient conditions for oscillation of solutions of the above equation. Our results generalize and extend some known oscillation criteria in the literature.Keywords : Oscillation, averaging, damping, Riccati substitution, second order.