Dergiler / Turkish Journal of Mathematics / 2012 / Cilt: 36 - Sayı: 2
An oscillation theorem for second-order nonlinear differential equations of Euler type
- Sayfa
- 273–280
- DOI
- —
Özet
We consider the nonlinear equation t2x'' + g(x) = 0, where g(x) satisfies xg(x) > 0 for x \ne 0, but is not assumed to be sublinear or superlinear. We study the problem whether all nontrivial solutions of the equation are oscillatory in some critical cases.
Abstract
We consider the nonlinear equation t2x'' + g(x) = 0, where g(x) satisfies xg(x) > 0 for x \ne 0, but is not assumed to be sublinear or superlinear. We study the problem whether all nontrivial solutions of the equation are oscillatory in some critical cases.