Criteria of Limit Circle Type for Nonlinear Differential Equations
โ Scribed by Spikes, Paul W.
- Book ID
- 118199402
- Publisher
- Society for Industrial and Applied Mathematics
- Year
- 1979
- Tongue
- English
- Weight
- 527 KB
- Volume
- 10
- Category
- Article
- ISSN
- 0036-1410
- DOI
- 10.1137/0510042
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
## Abstract We introduce the limitโpoint/limitโcircle classification for the nonlinear differential equations of higher order. We give limitโpoint as well as limitโcircle criteria for nonlinear differential equations of the third order.
## Abstract In this paper we relate the oscillation problem of the nonlinear functional differential equation (__a__(__t__)__x'__(__t__))__' + q__(__t__) __f__ (__x__(__g__(__t__)))= 0 and the nonlinear neutral functional differential equation (__a__(__t__) (__x__(__t__)__+ p__(__t__)__x__(g^\*^(__
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