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Oscillation and Existence of Positive Solutions in a Class of Higher Order Neutral Equations

✍ Scribed by X.H. Tang; J.H. Shen

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
214 KB
Volume
213
Category
Article
ISSN
0022-247X

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✦ Synopsis

Consider the higher order neutral differential equation x t y x t y q Ε½ . Ε½ . Ε½ . Q t x t y s 0, t G t with Q t continuous, ) 0, G 0, and n odd. We 0 establish several new sufficient conditions for the oscillation of all solutions and the existence of a positive solution by an associated ordinary differential equation. Some of these conditions are sharp and improve the known results in the literature Ε½ which include the newest one by J. S.

πŸ“œ SIMILAR VOLUMES

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We establish several new sufficient conditions for the oscillation of all solutions Ε½ . and the existence of a positive solution when P t y 1 is allowed to oscillate and Ο± Ε½ . the usual divergent condition H Q s ds s Ο± is not satisfied. These conditions are almost sharp and improve some known result

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