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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2019.1
- 수록면
- 735 - 769 (35page)
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In this paper, we consider the Robin-Dirichlet problem for a nonlinear wave equation of Kirchho -Carrier type with a viscoelastic term. Using the Faedo-Galerkin method and the linearization method for nonlinear terms, the existence and uniqueness of a weak solution are proved. An asymptotic expansion of high order in a small parameter of a weak solution is also discussed.
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참고문헌 (32)
참고문헌 신청
G. F. Carrier / 1945 / On the nonlinear vibration problem of the elastic string / Quart. Appl. Math 3:157~165
M. M. Cavalcanti / 2001 / Global existence and uniform decay rates for the Kirchhoff-Carrier equation with nonlinear dissipation / Adv. Differential Equations 6(6):701~730
M. M. Cavalcanti / 2002 / Exponential decay for the solution of semilinear viscoelastic wave equations with localized damping / Electron. J. Differential Equations (44):1~14
M. M. Cavalcanti / 2004 / Global existence and asymptotic stability for the nonlinear and generalized damped extensible plate equation / Commun. Contemp. Math 6(5):705~731
E. A. Coddington / 1955 / Theory of ordinary differential equations / McGraw-Hill
M. M. Cavalcanti / 2001 / Global existence and uniform decay rates for the Kirchhoff-Carrier equation with nonlinear dissipation / Adv. Differential Equations 6(6):701~730
M. M. Cavalcanti / 2002 / Exponential decay for the solution of semilinear viscoelastic wave equations with localized damping / Electron. J. Differential Equations (44):1~14
M. M. Cavalcanti / 2004 / Global existence and asymptotic stability for the nonlinear and generalized damped extensible plate equation / Commun. Contemp. Math 6(5):705~731
E. A. Coddington / 1955 / Theory of ordinary differential equations / McGraw-Hill
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