Oscillation and nonoscillation of second order differential equations with delay depending on the unknown function
โ Scribed by Zhiting Xu
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 157 KB
- Volume
- 214
- Category
- Article
- ISSN
- 0377-0427
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โฆ Synopsis
Oscillation and nonoscillation of the second order differential equation with delay depending on the unknown function
in the case when โ ds/r(s) < โ holds are consider. The results obtained in this paper can be conjugated with the theorems given by Bainov et al. [
๐ 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 __ฯ~ฮด~__ (__u__) = |__u__ |^__ฮด__ โ1^__u__; __ฮฑ__ > 0, __ฮฒ__ โฅ __ฮฑ__, and __ฮณ__ โฅ __ฮฑ__ are real numbers; __k
For a special class of the external force g t and nonnegative potential a t , we give necessary and sufficient conditions for the oscillation of all solutions of a nonlinear second order forced differential equation with delayed argument of ลฝ .