Levin's comparison theorems for nonlinear second order differential equations

DOI10.1016/0893-9659(96)00090-0zbMath0867.34020OpenAlexW2065644125MaRDI QIDQ1352358

Wei-Cheng Lian, Cheh-Chih Yeh, Ravi P. Agarwal

Publication date: 11 August 1997

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0893-9659(96)00090-0

zbMATH Keywords

nonlinear differential equationsgeneralizationLevin-typeOsgood's inequality

Mathematics Subject Classification ID

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

Cites Work

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• A homotopic deformation along \(p\) of a Leray-Schauder degree result and existence for \((| u'| ^{p-2}u')'+f(t,u)=0\), \(u(0)=u(T)=0\), \(p>1\)
• Comparison theorems of Levin type
• A Levin type comparison theorem and oscillation results for Volterra- Stieltjes integral equations
• A maximum principle for second order nonlinear differential inequalities and its applications
• Lasalle's inequality and uniqueness theorems
• Existence theorems for second order boundary value problems
• Uniqueness theorems and successive approximations

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