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Oscillation criteria for nonlinear neutral hyperbolic equations with functional arguments

This paper is devoted to the study of oscillatory behavior of solutions to nonlinear neutral hyperbolic equations with functional arguments by using the integral averaging method and generalized Riccati techniques. First, we establish oscillation results for nonlinear neutral hyperbolic equations by...

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Bibliographic Details
Main Authors: Shoukaku, Y., Stavroulakis, I.P., Yoshida, N.
Format: Article
Language:English
Published: Інститут математики НАН України 2011
Series:Нелінійні коливання
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/175307
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Summary:This paper is devoted to the study of oscillatory behavior of solutions to nonlinear neutral hyperbolic equations with functional arguments by using the integral averaging method and generalized Riccati techniques. First, we establish oscillation results for nonlinear neutral hyperbolic equations by reducing the multi-dimensional oscillation problems to one-dimensional oscillation problems for functional differential inequalities. Secondly, we present oscillation results for nonlinear neutral hyperbolic equations by utilizing Riccati techniques.