Electron. J. Diff. Equ., Vol. 2011 (2011), No. 59, pp. 1-16.

Oscillation of solutions for forced nonlinear neutral hyperbolic equations with functional arguments

Yutaka Shoukaku

Abstract:
This article studies the forced oscillatory behavior of solutions to nonlinear hyperbolic equations with functional arguments. Our main tools are the integral averaging method and a generalized Riccati technique.

Submitted April 13, 2011. Published May 9, 2011.
Math Subject Classifications: 34K11, 35B05, 35R10.
Key Words: Forced oscillation; neutral hyperbolic equations; Riccati method; interval criteria.

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Yutaka Shoukaku
Faculty of Engineering, Kanazawa University
Kanazawa 920-1192, Japan
email: shoukaku@t.kanazawa-u.ac.jp

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