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

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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