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Existence of Positive Solutions for a Class of First-Order Neutral Functional Differential Equations

✍ Scribed by S. Tanaka

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
128 KB
Volume
229
Category
Article
ISSN
0022-247X

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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 di

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## Abstract In this paper, we consider the higher order neutral delay differential equation where __p__ : [0, ∞) β†’ (0, ∞) is a continuous function, __r__ > 0 and __Οƒ__ > 0 are constants, and __n__ > 0 is an odd integer. A positive solution __x__(__t__) of Eq. (\*) is called a Class–I solution if _