Nonlinear relationships between oscillation and asymptotic behavior

Allan L. Edelson and Kurt Kreith

Vol. 102 (1982), No. 1, 29–39

DOI: 10.2140/pjm.1982.102.29

Abstract

This paper establishes various relationships between oscillation and asymptotic behavior of nonlinear differentional equations of the form y⁽²ⁿ⁾ − f(t,y) = 0. Its results constitute a generalization of similar relationships known to hold for linear fourth order equations.

Mathematical Subject Classification 2000

Primary: 34C10

Secondary: 34E05

Milestones

Received: 9 October 1978

Revised: 4 January 1980

Published: 1 September 1982