A general comparison theorem for nonlinear equations

DOI10.1016/S0898-1221(01)00208-5zbMath0992.34025OpenAlexW2012605675MaRDI QIDQ5948849

Hung-Yih Chen, Huei-Lin Hong, Cheh-Chih Yeh

Publication date: 12 November 2001

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0898-1221(01)00208-5

zbMATH Keywords

comparison theoremsupermultiplicative

Mathematics Subject Classification ID

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

Cites Work

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• Positive entire solutions of the equation \(\Delta{}u+f(x,u)=0\)
• Non-existence of nodal and one-signed solutions for nonlinear variational equations
• Non-existence of nodal and one-signed solutions for nonlinear variational equations with special symmetries
• A quantitative comparison theorem for nonlinear equations
• A Sturm type comparison theorem for nonlinear problems
• Methods of nonlinear analysis. Vol. 1
• A Simple Proof for Sturm's Separation Theorem

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