An infinite sequence of nonoscillation theorems for second-order nonlinear differential equations of Euler type
โ Scribed by Jitsuro Sugie; Naoto Yamaoka
- Book ID
- 104330212
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 126 KB
- Volume
- 50
- Category
- Article
- ISSN
- 0362-546X
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
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
we present new oscillation criteria for the second-order nonlinear differential equations. These criteria involve the use of averaging functions. Our theorems are stated in general form; they complement and extend related results known in the literature. Also, the relevance of our results is to sho