Oscillations of nonlinear hyperbolic equations with functional arguments via Riccati method |
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Authors: | Yutaka Shoukaku Norio Yoshida |
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Institution: | a Faculty of Engineering, Kanazawa University, Kanazawa 920-1192, Japan b Department of Mathematics, Faculty of Science, Toyama University, Toyama 930-8555, Japan |
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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]. |
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Keywords: | Oscillation Hyperbolic equations Riccati inequality Interval criteria |
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