Some oscillation criteria for the second-order quasilinear functional differential equations are obtained. Our results generalize and improve some known results of both differential equations and delay differential equations. ~
Oscillation criteria for second order functional differential equations
β Scribed by M.M.A. El-Sheikh; R. Sallam
- Book ID
- 108396189
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 92 KB
- Volume
- 115
- Category
- Article
- ISSN
- 0096-3003
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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
some oscillation criteria for the second order retarded differential equation [r(t)Iu'(t)la-lu'(t)]' +P(t)lu(T(t))la-lu(T(t)) = 0 CEO) are given, where CT and /3 are positive constants, and P ## ,T,T E C([to,oo),IR) satisfy some suitable conditions. Our results generalize those of Erbe, Ohriska a