Displaying similar documents to “Oscillations of the solutions of nonlinear hyperbolic equations of neutral type.”

Forced oscillation of certain hyperbolic equations with continuous distributed deviating arguments

Satoshi Tanaka, Norio Yoshida (2005)

Annales Polonici Mathematici

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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.