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On Transformation and Oscillation of Linear Differential System

Published online by Cambridge University Press:  20 November 2018

Donald F. St. Mary
Donald F. St. Mary*
Affiliation:
University of Massachusetts, Amherst, Massachusetts; University of Oklahoma, Norman, Oklahoma
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Abstract

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In this paper we study second order linear differential systems. We examine the relationship between oscillation of n-dimensional systems and certain associated n-dimensional systems, where m ≧ n. Several theorems are presented which unify and encompass in the linear case a number of results from the literature. In particular, we present a transformation which extends an oscillation theorem due to Allegretto and Erbe [1], and a comparison theorem due to Kreith [9], and explains some work of Howard [7].

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 29 , Issue 2 , 01 April 1977 , pp. 392 - 399
Copyright
Copyright © Canadian Mathematical Society 1977

References

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