Oscillation criteria for damped half-linear PDE via the integral operator

DOI10.1016/j.mcm.2007.12.019zbMath1187.35125OpenAlexW2080612244MaRDI QIDQ2389824

Zhi Ting Xu

Publication date: 19 July 2009

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mcm.2007.12.019

zbMATH Keywords

oscillationintegral operatorsecond orderdampedhalf-linear PDE

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05)

Related Items (3)

Oscillation criteria for second order mixed nonlinear elliptic equations ⋮ Oscillation of damped PDE with \(p\)-Laplacian in unbounded domains ⋮ New Kamenev-type oscillation criteria for half-linear partial differential equations

Cites Work

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• Oscillation theorems for linear differential equations of second order
• Oscillation criteria of Kamenev-type for PDE with \(p\)-Laplacian.
• Integral averages and oscillation criteria for half-linear partial differential equation.
• Some oscillation theorems for a class of quasilinear elliptic equations
• A Picone-type identity and Sturmian comparison and oscillation theorems for a class of half-linear partial differential equations of second order
• Oscillation criteria for PDE with \(p\)-Laplacian via the Riccati technique
• A criterion of oscillatory stability
• On Non-Oscillatory Linear Differential Equations of Second Order
• Nonexistence of positive solutions of PDE's with \(p\)-Laplacian
• On Kamenev-type oscillation theorems for second-order differential equations with damping

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