Abstract
The aim of this work is to present new oscillation results for a class of second-order delay differential equations with damping term. The new criterion of oscillation depends on improving the asymptotic properties of the positive solutions of the studied equation by using an iterative technique. Our results extend some of the results recently published in the literature.
Highlights
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This article is concerned with studying the oscillatory behavior of the second-order delay differential equation r(t)φ (t) + p(t)φ (t) + q(t)φ( (t)) = 0, t ≥ t0, (1)
Oscillation theory is a branch of the qualitative theory of functional differential equations, which is concerned with the study of the oscillatory and non-oscillatory behavior of solutions to differential equations
Summary
Publisher’s Note: MDPI stays neutral with regard to jurisdictional claims in published maps and institutional affiliations. Criteria for the Oscillation of Solutions to Linear Second-Order Delay Differential Equation with a Damping Term. This article is concerned with studying the oscillatory behavior of the second-order delay differential equation r(t)φ (t) + p(t)φ (t) + q(t)φ( (t)) = 0, t ≥ t0, (1) By a solution of (1), we mean a function φ ∈ C([t, ∞), R), tx ≥ t0, which has the property r(t)φ (t) is differentiable and satisfies (1) on [tx, ∞).
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