Electronic Journal of Differential Equations,
Vol. 2002(2002), No. 34, pp. 1-12.
Title: Constants in the oscillation theory of higher order
Sturm-Liouville differential equations
Author: Ondrej Dosly (Masaryk University, Czech Republic)
Abstract:
We find the the exact value of a constant in some oscillation
criteria for the higher order Sturm-Liouville differential equation
$$
(-1)^{n}(t^\alpha y^{(n)})^{(n)}=q(t)y .
$$
We also study some general aspects in the oscillation theory of
this equation.
Submitted October 25, 2001. Published April 4, 2002.
Math Subject Classifications: 34C10
Key Words: Sturm-Liouville differential equation, variational method,
oscillation and non-oscillation criteria, conditional oscillation.
This and other articles are avilable in DVI, PDF, PS, and TeX format.
Thanks to the European Mathematical Information Service, the EJDE and
other journals have mirror copies through the world. Here is a partial
listing of mirror sites.
EUROPE: http://www.emis.de/journals/EJDE
NORTH AMERICA: http://ejde.math.swt.edu http://ejde.math.unt.edu
ftp: ejde.math.swt.edu (login: ftp)
SOUTH AMERICA: http://www.icfes.gov.co/revistas/EJDE
http://www.mat.unb.br/EMIS/journals/EJDE
ASIA:
http://www.kurims.kyoto-u.ac.jp/EMIS/journals/EJDE
http://emis.math.ecnu.edu.cn/journals/EJDE
AUSTRALIA:
http://emis.maths.adelaide.edu.au/EMIS/journals/EJDE