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doi:10.1016/0022-247X(76)90080-9    
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Copyright © 1976 Published by Elsevier Inc.

Comparison theorems and existence theorems for ordinary differential equations

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Allan C. Peterson

Department of Mathematics, University of Nebraska-Lincoln, Lincoln, Nebraska 68588, USA


Submitted by J. P. LaSalle 
Available online 29 June 2004.

Abstract

We are concerned with uniqueness and existence theorems for two point boundary value problems for the nonlinear differential equation Ly = f(x, y), where L is the classical nth order linear differential operator. In proving our results interesting comparison theorems are proven for linear differential equations.

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