Oscillation criteria for a class of nonlinear partial differential equations

DOI10.1016/0022-247X(81)90021-4zbMath0463.35008OpenAlexW2092866512MaRDI QIDQ1153486

Takasi Kusano

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1016/0022-247x(81)90021-4

zbMATH Keywords

initial value problemnonlinear partial differential equationsoscillation results

Mathematics Subject Classification ID

Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Initial value problems for higher-order hyperbolic equations (35L30)

Related Items (max. 100)

Oscillation results for higher even order nonlinear partial functional differential equations of neutral type ⋮ Oscillation criteria for nonlinear Bianchi equations ⋮ Functional characteristic initial value problems

Cites Work

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• On n-th-order differential inequalities
• An Oscillation Theorem for Characteristic Initial Value Problems for Nonlinear Hyperbolic Equations
• Oscillation criteria for third order hyperbolic characteristic initial value problems
• A comparison theorem and the forced oscillation
• An oscillation theorem for characteristic initial value problems in linear hyperbolic equations
• The oscillation character of the solutions of the equation $y\sp{(n)}+f(x)y\sp\alpha=0$, $n>1$
• On Fite's oscillation theorems

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