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Oscillation of Certain First Order Neutral Functional Differential Equations with Distributed Delays

Yuhua Long

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Abstract

The oscillation of neutral functional differential equations has important implications in both theory and application. There have been many results about the oscillation for first order neutral functional differential equations with discrete delays, but there are few research results about the oscillation for first order neutral functional differential equations with distributed delays. This paper investigates the oscillation of certain first order neutral functional differential equations with distributed delays, we establish several suffcient conditions for the oscillation of all solutions of the equations. The obtained results improve some known results in the literature.

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What this paper is about

The oscillation of neutral functional differential equations has important implications in both theory and application. There have been many results about the oscillation for first order neutral functional differential equations with discrete delays, but there are few research results about the oscillation for first order neutral functional differential equations with distributed delays. This paper investigates the oscillation of certain first order neutral functional differential equations with distributed delays, we establish several suffcient conditions for the oscillation of all solutions of the equations. The obtained results improve some known results in the literature.

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Available abstract

The oscillation of neutral functional differential equations has important implications in both theory and application. There have been many results about the oscillation for first order neutral functional differential equations with discrete delays, but there are few research results about the oscillation for first order neutral functional differential equations with distributed delays. This paper investigates the oscillation of certain first order neutral functional differential equations with distributed delays, we establish several suffcient conditions for the oscillation of all solutions of the equations. The obtained results improve some known results in the literature.

Key concepts: Oscillation (cell signaling), Differential equation, Functional differential equation, Mathematics, Delay differential equation, Distributed parameter system, Order (exchange), Differential (mechanical device)

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