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Interval oscillation criteria for second order partial differential equations with delays

✍ Scribed by Jizhong Wang; Fanwei Meng; Sanyang Liu

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
158 KB
Volume
212
Category
Article
ISSN
0377-0427

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✦ Synopsis

In this paper, we present new interval oscillation criteria related to integral averaging technique for second order partial differential equations with delays that are different from most known ones in the sense that they are based on the information only on a sequence of subintervals of [t 0 , ∞), rather than on whole half-line. Our results are sharper than some previous results and handles the cases which are not covered by known criteria.

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## 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΄__ –1^__u__; __Ξ±__ > 0, __Ξ²__ β‰₯ __Ξ±__, and __Ξ³__ β‰₯ __Ξ±__ are real numbers; __k