On Constants in Nonoscillation Criteria for Half‐Linear Differential Equations

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2011 English Publisher:WileyJournal:Abstract and Applied Analysis, volume 2,011 (issn: 1085-3375, eissn: 1687-0409,

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Authors: Simona Fišnarová; Robert Mařík;

doi: 10.1155/2011/638271

On Constants in Nonoscillation Criteria for Half‐Linear Differential Equations

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Abstract

We study the half‐linear differential equation (r(t)Φ(x′)) ′ + c(t)Φ(x) = 0, where Φ(x) = |x|p−2x, p > 1. Using the modified Riccati technique, we derive new nonoscillation criteria for this equation. The results are closely related to the classical Hille‐Nehari criteria and allow to replace the fixed constants in known nonoscillation criteria by a certain one‐parametric expression.

Related Organizations

Mendel University Brno
Czech Republic

Keywords

QA1-939, Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations, Mathematics

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