On Transformation and Oscillation of Linear Differential System
Canadian journal of mathematics, Tome 29 (1977) no. 2, pp. 392-399

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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].
Mary, Donald F. St. On Transformation and Oscillation of Linear Differential System. Canadian journal of mathematics, Tome 29 (1977) no. 2, pp. 392-399. doi: 10.4153/CJM-1977-042-8
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