Oscillation Criteria for Forced First Order Neutral Differential Equations with Variable Coefficients
โ Scribed by N. Parhi; R.N. Rath
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 121 KB
- Volume
- 256
- Category
- Article
- ISSN
- 0022-247X
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๐ SIMILAR VOLUMES
t ## ลฝ . , โฆ g R , G โฆ , 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 โฆ H P u y Q u y q t s 0 .x โฆ du ds s ฯฑ is not necessary. Some examples are given, which show that the results here are almost sharp.
The purpose of this paper is to study nonoscillations and oscillations of first order neutral equations with variable coefficients. We obtain several new existence theorems of nonoscillatory solutions and a sufficient condition for all solutions of such equations to oscillate. Our conditions are "sh
We obtain suffiaient conditions for the oscillation of all solutions of the higher order neutral differential equation -[?At) + P(t) YO -.)I + a t ) Y(t -0 ) = 0, t h to where Our results extend and improve several known results in the literature.