Turkish Journal of Mathematics
DOI
-
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.
Keywords
Oscillation, averaging, damping, Riccati substitution, second order.
First Page
185
Last Page
196
Recommended Citation
TİRYAKİ, AYDIN and ZAFER, AĞACIK (2000) "Oscillation Criteria for Second Order Nonlinear Differential Equations with Damping," Turkish Journal of Mathematics: Vol. 24: No. 2, Article 6. Available at: https://journals.tubitak.gov.tr/math/vol24/iss2/6
