Two‐Parametric Conditionally Oscillatory Half‐Linear Differential Equations

Ondřej Došlý and Simona Fišnarová

Abstract and Applied Analysis, 2011, vol. 2011, issue 1

Abstract: We study perturbations of the nonoscillatory half‐linear differential equation (r(t)Φ(x′))′ + c(t)Φ(x) = 0, Φ(x): = |x|p−2x, p > 1. We find explicit formulas for the functions r∧, c∧ such that the equation [(r(t)+λr∧(t))Φ(x′)]′+[c(t)+μc∧(t)]Φ(x)=0 is conditionally oscillatory, that is, there exists a constant γ such that the previous equation is oscillatory if μ − λ > γ and nonoscillatory if μ − λ

Date: 2011
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https://doi.org/10.1155/2011/182827

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2011:y:2011:i:1:n:182827

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