Growth conditions for oscillation of nonlinear differential equations with \(p\)-Laplacian

DOI10.1016/j.jmaa.2004.10.009zbMath1085.34029OpenAlexW2066925764MaRDI QIDQ1779337

Naoto Yamaoka, Jitsuro Sugie

Publication date: 1 June 2005

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2004.10.009

zbMATH Keywords

nonlinear oscillationElliptic equationsRiccati techniqueSturm's comparison methodp-Laplacian operator

Mathematics Subject Classification ID

Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10)

Related Items (8)

Perturbations of the half-linear Euler --- Weber type differential equation ⋮ Oscillation and non-oscillation of half-linear differential equations with coefficients determined by functions having mean values ⋮ Oscillation criteria for second-order damped nonlinear differential equations with \(p\)-Laplacian ⋮ Oscillation constants for second-order ordinary differential equations related to elliptic equations with \(p\)-Laplacian ⋮ Oscillatory property of solutions for \(p(t)\)-Laplacian equations ⋮ Maximum principles and nonexistence results for radial solutions to equations involvingp-Laplacian ⋮ A comparison theorem and oscillation criteria for second-order nonlinear differential equations ⋮ The least possible impulse for oscillating all nontrivial solutions of second-order nonoscillatory differential equations

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• Some Oscillation Properties of Selfadjoint Elliptic Equations
• Non-Oscillation Theorems
• Oscillation criteria for half-linear second order differential equations
• Oscillation criteria for second order nonlinear differential equations of Euler type
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