Journal of Applied Mathematics and Stochastic Analysis
Volume 9 (1996), Issue 1, Pages 21-31
doi:10.1155/S1048953396000032

Oscillation criteria for nonlinear inhomogeneous hyperbolic equations with distributed deviating arguments

Xinzhi Liu1 and Xilin Fu1,2

1University of Waterloo, Department of Applied Mathematics, Ontario, Waterloo N2L 3G1, Canada
2Shandong Normal University, China

Received 1 March 1995; Revised 1 July 1995

Copyright © 1996 Xinzhi Liu and Xilin Fu. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

This paper investigates the oscillatory properties of solutions of nonlinear inhomogeneous hyperbolic equations with distributed deviating arguments subject to two different boundary conditions. Several oscillation criteria are establishing employing Green's Theorem and certain differential inequalities. An example is also given.