Forced oscillation of certain hyperbolic equations with continuous distributed deviating arguments
Volume 85 / 2005
Annales Polonici Mathematici 85 (2005), 37-54
MSC: 35B05, 35R10.
DOI: 10.4064/ap85-1-4
Abstract
Certain hyperbolic equations with continuous distributed deviating arguments are studied, and sufficient conditions are obtained for every solution of some boundary value problems to be oscillatory in a cylindrical domain. Our approach is to reduce the multi-dimensional oscillation problems to one-dimensional oscillation problems for functional differential inequalities by using some integral means of solutions.
