Hostname: page-component-586b7cd67f-t7fkt Total loading time: 0 Render date: 2024-11-25T04:01:14.953Z Has data issue: false hasContentIssue false
  • English
  • Français

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.
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

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