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Sturmian comparison theorem for half-linear second-order differential equations

Published online by Cambridge University Press:  14 November 2011

Horng Jaan Li  and
Cheh Chih Yeh
Horng Jaan Li
Affiliation:
Chienkuo Junior College of Technology and Commerce, Chang-Hua, Taiwan, Repubic of China
Cheh Chih Yeh
Affiliation:
Department of Mathematics, National Central University, Chung-Li, Taiwan, Republic of China
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Abstract

Let φ:ℝ→ℝ be defined by φ(s) = |s|p−2s, with p > 1 a fixed number. We extend Sturm Comparison Theorem of the linear differential equation

to the nonlinear differential equation

by using the Wirtinger inequality. A Lyapunov inequality and some oscillation criteria of (E) are also given.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 125 , Issue 6 , 1995 , pp. 1193 - 1204
Copyright
Copyright © Royal Society of Edinburgh 1995

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References

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