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Oscillation Criteria for Second Order Nonlinear Perturbed Differential Equations

✍ Scribed by Yuri V Rogovchenko

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
263 KB
Volume
215
Category
Article
ISSN
0022-247X

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✦ Synopsis

We present new oscillation criteria for the second order nonlinear perturbed differential equations. These criteria are of a high degree of generality and they extend and unify a number of existing results.

πŸ“œ SIMILAR VOLUMES

Oscillation of second-order perturbed di
Oscillation of second-order perturbed differential equations
✍ Octavian G. Mustafa; Yuri V. Rogovchenko πŸ“‚ Article πŸ“… 2005 πŸ› John Wiley and Sons 🌐 English βš– 131 KB

## Abstract We give constructive proof of the existence of vanishing at infinity oscillatory solutions for a second‐order perturbed nonlinear differential equation. In contrast to most results reported in the literature, we do not require oscillatory character of the associated unperturbed equation

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✍ Jitsuro Sugie; Kazuhisa Kita πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 167 KB

The purpose of this paper is to solve the oscillation problem for the nonlinear Euler differential equation t 2 x + g x = 0 and the extended equation x + a t g x = 0. Here g x satisfies the sign condition xg x > 0 if x = 0, but is not assumed to be monotone. We give necessary and sufficient conditio