On Transformation and Oscillation of Linear Differential System

Canadian Journal of Mathematics - Tập 29 Số 2 - Trang 392-399 - 1977
Donald F. St. Mary1,2
1University of Massachusetts, Amherst, Massachusetts
2University of Oklahoma, Norman, Oklahoma

Tóm tắt

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 mn. 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].

Từ khóa


Tài liệu tham khảo

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