Atlas home || Conferences | Abstracts | about Atlas

Fourth Mississippi State Conference on Differential Equations and Computational Simulations
May 21-22, 1999
Mississippi State University and Electronic Journal of Differential Equations
Starkville, MS, USA

Organizers
Ratnasingham Shivaji, Bharat Soni, Jianping Zhu (Program Chair)

View Abstracts
Conference Homepage

Oscillatory Properties of Half-linear Second Order Differential Equations
by
Ondrej Dosly
Masaryk University and The Czech Academy of Sciences, Czech Republic

Oscillatory properties of the half-linear second order differential equation
(r(t)\Phi(x'))'+ c(t)\Phi(x) = 0,     \Phi(x) : = |x|p-2 x,     p > 1
(*)
are investigated. It is shown that some classical and also recently established oscillation and nonoscillation criteria for the linear Sturm-Liouville differential equation
(r(t)x')'+ c(t)x = 0
(which corresponds to the case p=2) extend in a natural way to (*). In particular, the integral characterization of the so-called principal solution of (*) is offered.

Date received: April 7, 1999

Copyright © 1999 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cacr-60.