𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On Kamenev-Type Oscillation Theorems for Second-Order Differential Equations With Damping

✍ Scribed by James S.W. Wong


Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
116 KB
Volume
258
Category
Article
ISSN
0022-247X

No coin nor oath required. For personal study only.

✦ Synopsis


Oscillation criteria for the nonlinear second-order ordinary differential equation with damping x + p t x + f x = 0 are given. The results are extensions of integral averaging technique of Kamenev and include earlier results of Yeh, Yan, and Chen.


πŸ“œ SIMILAR VOLUMES


Oscillation Results for a Second Order D
✍ Mokhtar Kirane; Yuri V. Rogovchenko πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 138 KB

We present new oscillation criteria for a nonlinear second order differential equation with a damping term. An essential feature of our results is that we do not require the nonlinearity to be nondecreasing. Furthermore, as opposed to the Ε½ recent results by S.

Oscillation Criteria for Second Order No
✍ 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