Electron. J. Diff. Eqns., Vol. 2002(2002), No. 28, pp. 1-10.
Oscillation criteria for a class of nonlinear partial differential
equations
Robert Marik
Abstract:
This paper presents sufficient conditions on the function
to ensure that every solution of partial differential equation
is weakly oscillatory, i.e. has zero outside of every ball in
.
The main tool is modified Riccati technique
developed for Schrodinger operator by Noussair and Swanson [11].
Submitted May 24, 2001. Published March 8, 2002.
Math Subject Classifications: 35B05
Key Words: Oscillation criteria, nonlinear oscillation, unbounded domains.
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Robert Marik
Dept. of Mathematics, Mendel University
Zemedelska 3
613 00 Brno, Czech Republic
e-mail: marik@mendelu.cz |
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