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4.—Comparison Theorems for a Class of Second-order Non-linear Ordinary Differential Equations

Published online by Cambridge University Press:  14 February 2012

Donald C. Benson
Affiliation:
Department of Mathematics, University of California, Davis

Synopsis

Integral inequalities are used to obtain comparison theorems for a class of second-order differential equations which includes the Emden-Fowler equation, certain Liénard equations, and linear equations of the form d2y/dx2+f(x)y = 0. For these linear equations the results below imply Sturm's classical comparison theorem.

Type
Research Article
Copyright
Copyright © Royal Society of Edinburgh 1975

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