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On the Relation Between Boundedness and Oscillation of Differential Equations of Second Order

Published online by Cambridge University Press:  20 November 2018

A. G. Kartsatos
A. G. Kartsatos*
Affiliation:
Wayne State University, Detroit, Michigan U.S.A.
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In this paper we are dealing with differential equations of the forms:

Ei

where the functions pi are positive.

By a solution of an equation of the above forms, we mean a function x(t) ∈ C2 [c, + ∞) where c is a non-negative constant, which satisfies the corresponding equation on the whole interval [c, +∞). By an oscillatory solution of (Ei), we mean a solution with arbitrarily large zeros.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 10 , Issue 5 , December 1967 , pp. 675 - 679
Copyright
Copyright © Canadian Mathematical Society 1967