This paper deals with some sufficient conditions for the bounded oscillation criteria for the second-order nonlinear delay difference equation In addition, we generalize and improve the existing results, and then give some examples of applications.
Bounded oscillation for second-order delay differential equations with unstable type in a critical case
β Scribed by X.H. Tang; Yuji Liu
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 222 KB
- Volume
- 16
- Category
- Article
- ISSN
- 0893-9659
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β¦ Synopsis
Sharp sufficient conditions are obtained for the bounded oscillation for second-order delay differential equation with unstable type xH(t) = p(t)x(t -~') in the critical state lira p(t) = t~OO (~) 2003 Elsevier Science Ltd. All rights reserved.
π SIMILAR VOLUMES
## Abstract Sufficient conditions are established for oscillation of second order super half linear equations containing both delay and advanced arguments of the form equation image where __Ο~Ξ΄~__ (__u__) = |__u__ |^__Ξ΄__ β1^__u__; __Ξ±__ > 0, __Ξ²__ β₯ __Ξ±__, and __Ξ³__ β₯ __Ξ±__ are real numbers; __k
A scalar linear differential equation with time-dependent delay αΊ The goal of our investigation is to give sufficient conditions for the existence of positive solutions as t β β in the critical case in terms of inequalities on a and Ο . A generalization of one known final (in a certain sense) resul