Hyperbolic systems with functional arguments are studied, and sufficient conditions are obtained for every solution of boundary value problems to be weakly oscillatory (that is, at least one of its components is oscillatory) in a cylindrical domain. Robin-type boundary condition is considered. The approach used is to reduce the multi-dimensional oscillation problems to one-dimensional oscillation problems by using some integral means of solutions.
Shoukaku, Yutaka and Yoshida, Norio
Oscillations of Hyperbolic Systems with Functional Arguments,
Applications and Applied Mathematics: An International Journal (AAM), Vol. 1,
2, Article 1.
Available at: https://digitalcommons.pvamu.edu/aam/vol1/iss2/1