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Oscillations of nonlinear hyperbolic equations with functional arguments via Riccati method
Authors:Yutaka Shoukaku  Norio Yoshida
Institution:a Faculty of Engineering, Kanazawa University, Kanazawa 920-1192, Japan
b Department of Mathematics, Faculty of Science, Toyama University, Toyama 930-8555, Japan
Abstract:This paper is devoted to the study of the oscillatory behavior of solutions of nonlinear hyperbolic equations with functional arguments by using integral averaging method and a generalized Riccati technique. First, we establish oscillation results for nonlinear hyperbolic equations by applying oscillation criteria for Riccati inequality. Secondly, we present interval oscillation results for nonlinear hyperbolic equations. These results improve and extend oscillation results of Cui and Xu 1].
Keywords:Oscillation  Hyperbolic equations  Riccati inequality  Interval criteria
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