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Forced Oscillation Criteria for Nonlinear Hyperbolic Equations via Riccati Method

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In this paper, we consider the nonlinear hyperbolic equations with forcingterm. Some suffcient conditions for the oscillation are derived by using integral averagingmethod and a generalized Riccati technique.

Abstract

In this paper, we consider the nonlinear hyperbolic equations with forcingterm. Some suffcient conditions for the oscillation are derived by using integral averagingmethod and a generalized Riccati technique.

참고문헌 (9)

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  3. J. R. Graef, "On the oscillatory behavior of solutions of second order nonlinear differential equations", Czechoslovak Math. J., 36, pp.275~284 (1986)
  4. W. T. Li, "Oscillation criteria for second-order nonlinear differential equa-tions with integrable coefficient", Appl. Math. Lett., 13, pp.1~6 (2000)
  5. H. Usami, "Some oscillation theorem for a class of quasilinear elliptic equations", Ann. Mat. Pura Appl., 175, pp.277~283 (1998)
  6. Y. Shoukaku, "Forced oscillations of nonlinear hyperbolic equations with functional arguments via Riccati method", Appl. Appl. Math., 1, pp.122~153 (2010)
  7. Y. Shoukaku, "Oscillations of nonlinear hyperbolic equations with func-tional arguments via Riccati method", Appl. Math. Comput., 217, pp.143~151 (2010)
  8. P. J. Y. Wong, "Oscillatory behavior of solutions of certain second order nonlinear differential equations", J. Math. Anal. Appl., 198, pp.337~354 (1996)
  9. N. Yoshida, "Oscillation Theory of Partial Differential Equations" (2008), World Scientic Publishing Co. Pte. Ltd

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