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New Oscillation Criteria for Odd Order Neutral Equations

โœ Scribed by J.H. Shen

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
127 KB
Volume
201
Category
Article
ISSN
0022-247X

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โœฆ Synopsis

In this paper, new oscillation criteria are obtained for all solutions of the odd w ลฝ . ลฝ . ลฝ .x ลฝn. ลฝ . ลฝ . order neutral differential equation x t y P t x t y q Q t x t y s 0, ลฝw . . ลฝw . q . ลฝ . w . where P g C t ,ฯฑ , R , Q g C t ,ฯฑ , R , g 0, ฯฑ , g 0, ฯฑ , and n is odd. 0 0 ฯฑ n y 1 ลฝ . Our results do not need the usual hypothesis H s Q s dssฯฑ. Some examples t 0 are given to demonstrate the advantage of our results than existing ones in the literature.

๐Ÿ“œ SIMILAR VOLUMES

Oscillation Criteria for First Order Neu
Oscillation Criteria for First Order Neutral Differential Equations with Positive and Negative Coefficients
โœ Xiaosheng Zhang; Jurang Yan ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 91 KB

t ## ลฝ . , โฆ g R , G โฆ , are obtained where R t q H Q u du y 1 is allowed to x ฯฑ w ลฝ . ลฝ oscillate and the condition H s P s y Q s y q โฆ H P u y Q u y q t s 0 .x โฆ du ds s ฯฑ is not necessary. Some examples are given, which show that the results here are almost sharp.