Turkish Journal of Mathematics
Abstract
Oscillation criteria are given for second order nonlinear differential equations with damping of the form $$(a(t) \psi (x ) \dot x)\dot{}+ p(t) \dot x + q (t) f (x ) = 0,\quad t\geq t_0,$$ where $p$ and $q$ are allowed to change signs on $[t_0,\infty)$. 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.
DOI
-
Keywords
Oscillation, averaging, damping, Riccati substitution, second order.
First Page
185
Last Page
196
Recommended Citation
TİRYAKİ, A, & ZAFER, A (2000). Oscillation Criteria for Second Order Nonlinear Differential Equations with Damping. Turkish Journal of Mathematics 24 (2): 185-196. https://doi.org/-
