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Applicable Analysis
An International Journal
Volume 10, 1980 - Issue 3
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Original Articles

On global classical solutions of a nonlinear wave equation

Pages 179-195 | Received 15 Jul 1978, Published online: 02 May 2007

Keep up to date with the latest research on this topic with citation updates for this article.

Read on this site (4)

Le Thi Phuong Ngoc, Nguyen Anh Triet, Alain Pham Ngoc Dinh & Nguyen Thanh Long. (2017) Existence and Exponential Decay of Solutions for a Wave Equation with Integral Nonlocal Boundary Conditions of Memory Type. Numerical Functional Analysis and Optimization 38:9, pages 1173-1207.
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Biautti Angela CÁssia & Crippa Helvécio Rubens. (1994) Global attractor and inertial set for the beam equation. Applicable Analysis 55:1-2, pages 61-78.
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Ricardo M. Torrejón & Jiongmin Yong. (1988) A control problem for clamped extensible beams. Applicable Analysis 28:3, pages 163-180.
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Eliana Henriques De Brito & Jack Hale. (1982) The damped elastic stretched string equation generalized: existence, uniqueness, regularity and stability. Applicable Analysis 13:3, pages 219-233.
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Articles from other publishers (20)

C. Cunha & M.R. Clark. (2024) Analysis of a nonlinear model for the thermoelastic beam. Nonlinear Analysis: Real World Applications 79, pages 104104.
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Le Thi Phuong Ngoc, Nguyen Anh Triet & Nguyen Thanh Long. (2016) Existence and exponential decay estimates for an N-dimensional nonlinear wave equation with a nonlocal boundary condition. Boundary Value Problems 2016:1.
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Le Thi Phuong Ngoc, Nguyen Anh Triet & Nguyen Thanh Long. (2015) Existence and Decay of Solutions of a Mixed Nonlocal Problem. Vietnam Journal of Mathematics 44:2, pages 273-293.
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Le Thi Phuong Ngoc, Le Huu Ky Son, Tran Minh Thuyet & Nguyen Thanh Long. (2016) Linear Approximation and Asymptotic Expansion of Solutions for a Nonlinear Carrier Wave Equation in an Annular Membrane with Robin-Dirichlet Conditions. Mathematical Problems in Engineering 2016, pages 1-18.
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N. Tatar. (2013) On a non-dissipative Kirchhoff viscoelastic problem. Journal of Contemporary Mathematical Analysis 48:6, pages 285-296.
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Le Thi Phuong Ngoc & Nguyen Thanh Long. (2013) Existence and exponential decay for a nonlinear wave equation with nonlocal boundary conditions. Communications on Pure and Applied Analysis 12:5, pages 2001-2029.
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Nguyen Anh Triet, Le Thi Phuong Ngoc & Nguyen Thanh Long. (2012) A mixed Dirichlet–Robin problem for a nonlinear Kirchhoff–Carrier wave equation. Nonlinear Analysis: Real World Applications 13:2, pages 817-839.
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Nasser-Eddine Tatar. (2012) Asymptotic Behavior for a Nondissipative and Nonlinear System of the Kirchhoff Viscoelastic Type. Journal of Applied Mathematics 2012, pages 1-17.
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Le Xuan Truong, Le Thi Phuong Ngoc, Alain Pham Ngoc Dinh & Nguyen Thanh Long. (2011) Existence, blow-up and exponential decay estimates for a nonlinear wave equation with boundary conditions of two-point type. Nonlinear Analysis: Theory, Methods & Applications 74:18, pages 6933-6949.
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Le Thi Phuong Ngoc & Nguyen Thanh Long. (2009) Linear Approximation and Asymptotic Expansion of Solutions in Many Small Parameters for a Nonlinear Kirchhoff Wave Equation with Mixed Nonhomogeneous Conditions. Acta Applicandae Mathematicae 112:2, pages 137-169.
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Nguyen Anh Triet, Le Thi Phuong Ngoc & Nguyen Thanh Long. (2010) On a nonlinear Kirchhoff–Carrier wave equation associated with Robin conditions. Nonlinear Analysis: Real World Applications 11:5, pages 3363-3388.
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Le Thi Phuong Ngoc, Nguyen Anh Triet & Nguyen Thanh Long. (2010) On a nonlinear wave equation involving the term : Linear approximation and asymptotic expansion of solution in many small parameters. Nonlinear Analysis: Real World Applications 11:4, pages 2479-2501.
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Le Xuan Truong, Le Thi Phuong Ngoc, Alain Pham Ngoc Dinh & Nguyen Thanh Long. (2010) The regularity and exponential decay of solution for a linear wave equation associated with two-point boundary conditions. Nonlinear Analysis: Real World Applications 11:3, pages 1289-1303.
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O.A.De Lima & M.R. Clark. (2001) Mathematical analysis of a nonlinear system. Nonlinear Analysis: Theory, Methods & Applications 45:3, pages 343-361.
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Jaime E. Muñoz Rivera. (1994) Existence and asymptotic behaviour in a class of nonlinear wave equations with thermal dissipation. Nonlinear Analysis: Theory, Methods & Applications 23:10, pages 1255-1272.
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M.A. Astaburuaga, C. Fernandez & G. Perla Menzala. (1994) Local smoothing effects for a nonlinear Timoshenko type equation. Nonlinear Analysis: Theory, Methods & Applications 23:9, pages 1091-1103.
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Geng Di & Qu Chang-zheng. (1992) On nonlinear hyperbolic equation in unbounded domain. Applied Mathematics and Mechanics 13:3, pages 255-261.
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Ducival Carvalho Pereira. (1990) Existence, uniqueness and asymptotic behavior for solutions of the nonlinear beam equation. Nonlinear Analysis: Theory, Methods & Applications 14:8, pages 613-623.
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Norio Yoshida. (1988) On the zeros of solutions of beam equations. Annali di Matematica Pura ed Applicata 151:1, pages 389-398.
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Norio Yoshida. (1985) Forced Oscillations of Extensible Beams. SIAM Journal on Mathematical Analysis 16:2, pages 211-220.
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