2016Zenodo (CERN European Organization for Nuclear Research)Open access

Oscillation Conditions of First Order Delay Differential Equations with Positive and Negative Coefficients

V. Amudhamalar, P. Sathish

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Abstract

In this paper, we obtain some oscillation criteria for the first order delay differential equation with x¢ (t) + p(t) x( (t)) = 0, t > t0. By applying these results, we also establish some integral conditions for oscillation of the higher order delay differential equations.

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What this paper is about

In this paper, we obtain some oscillation criteria for the first order delay differential equation with x¢ (t) + p(t) x( (t)) = 0, t > t0. By applying these results, we also establish some integral conditions for oscillation of the higher order delay differential equations.

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Available abstract

In this paper, we obtain some oscillation criteria for the first order delay differential equation with x¢ (t) + p(t) x( (t)) = 0, t > t0. By applying these results, we also establish some integral conditions for oscillation of the higher order delay differential equations.

Key concepts: Oscillation (cell signaling), Delay differential equation, Order (exchange), Differential equation, Mathematics, Mathematical analysis, Differential (mechanical device), First order

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