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Subjects
35-XX Partial differential equations
35Lxx Hyperbolic equations and systems
35L75 Nonlinear higher-order hyperbolic equations

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Displaying 21 – 40 of 54

Global existence and nonlinear boundary stabilization of an elastic system. (Existence globale et stabilisation frontière non linéaire d'un système d'élasticité.)

Guesmia, A. (1999)

Portugaliae Mathematica

Global solutions and finite time blow up for damped semilinear wave equations

Filippo Gazzola, Marco Squassina (2006)

Annales de l'I.H.P. Analyse non linéaire

Homeomorphisms and Fredholm theory for perturbations of nonlinear Fredholm maps of index zero with applications.

Milojević, Petronije S. (2009)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Inertial manifolds and stabilization of nonlinear beam equations with Balakrishnan-Taylor damping.

You, Yuncheng (1996)

Abstract and Applied Analysis

Interaction contrôlée dans les équations aux dérivées partielles non linéaires

J.-Y. Chemin (1988)

Bulletin de la Société Mathématique de France

Interaction des singularités pour les équations aux dérivées partielles non linéaires

J. M. Bony (1981/1982)

Séminaire Équations aux dérivées partielles (Polytechnique)

Interaction des singularités pour les équations aux dérivées partielles non linéaires

Gilles Lebeau (1984/1985)

Séminaire Bourbaki

Interaction d'ondes simples pour des équations complètement non-linéaires

S. Alinhac (1985/1986)

Séminaire Équations aux dérivées partielles (Polytechnique)

Interaction d'ondes simples pour des équations complètement non-linéaires

S. Alinhac (1988)

Annales scientifiques de l'École Normale Supérieure

Jumping nonlinearities and mathematical models of suspension bridge

Pavel Drábek (1994)

Acta Mathematica et Informatica Universitatis Ostraviensis

Le problème de Goursat non-linéaire

C. Wagschal (1978/1979)

Séminaire Équations aux dérivées partielles (Polytechnique)

Nonexistence of global solutions of a quasilinear bi-hyperbolic equation with dynamical boundary conditions.

Bayrak, Vural, Can, Mehmet (1999)

Electronic Journal of Qualitative Theory of Differential Equations [electronic only]

Nonlinear effectively hyperbolic equations

N. Iwasaki (1985/1986)

Séminaire Équations aux dérivées partielles (Polytechnique)

Nonlinear stability and convergence of finite-differnce methods for the "good" Boussinesq equation.

J.M. Sanz-Serna, T. Ortega (1990/1991)

Numerische Mathematik

On the existence of solutions for some nondegenerate nonlinear wave equations of Kirchhoff type

Jong Yeoul Park, Jeong Ja Bae (2002)

Czechoslovak Mathematical Journal

Let $Ω$ be a bounded domain in $ℝ^{n}$ with a smooth boundary $Γ$ . In this work we study the existence of solutions for the following boundary value problem: $\frac{\partial^{2} y}{\partial t^{2}} - M (\int_{Ω} {| \nabla y |}^{2} d x) Δ y - \frac{\partial}{\partial t} Δ y = f (y) in Q = Ω \times (0, \infty), . 1 y = 0 in Σ_{1} = Γ_{1} \times (0, \infty), M (\int_{Ω} {| \nabla y |}^{2} d x) \frac{\partial y}{\partial ν} + \frac{\partial}{\partial t} (\frac{\partial y}{\partial ν}) = g in Σ_{0} = Γ_{0} \times (0, \infty), y (0) = y_{0}, \frac{\partial y}{\partial t} (0) = y_{1} in Ω, (1)$ where $M$ is a $C^{1}$ -function such that $M (λ) \geq λ_{0} > 0$ for every $λ \geq 0$ and $f (y) = {| y |}^{α} y$ for $α \geq 0$ .

On the existence of solutions of strongly damped nonlinear wave equations.

Park, Jong Yeoul, Bae, Jeong Ja (2000)

International Journal of Mathematics and Mathematical Sciences

Ondes lentes et interaction contrôlée pour les équations strictement hyperboliques non linéaires

J. Y. Chemin (1986/1987)

Séminaire Équations aux dérivées partielles (Polytechnique)

Optimal control of a rotating body beam

Weijiu Liu (2002)

ESAIM: Control, Optimisation and Calculus of Variations

In this paper we consider the problem of optimal control of the model for a rotating body beam, which describes the dynamics of motion of a beam attached perpendicularly to the center of a rigid cylinder and rotating with the cylinder. The control is applied on the cylinder via a torque to suppress the vibrations of the beam. We prove that there exists at least one optimal control and derive a necessary condition for the control. Furthermore, on the basis of iteration method, we propose numerical...

Optimal Control of a Rotating Body Beam

Weijiu Liu (2010)

ESAIM: Control, Optimisation and Calculus of Variations

In this paper we consider the problem of optimal control of the model for a rotating body beam, which describes the dynamics of motion of a beam attached perpendicularly to the center of a rigid cylinder and rotating with the cylinder. The control is applied on the cylinder via a torque to suppress the vibrations of the beam. We prove that there exists at least one optimal control and derive a necessary condition for the control. Furthermore, on the basis of iteration method, we propose ...

Periodic solutions of a piecewise linear beam equation damping and nonconstant load.

An, Yukun (2002)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Currently displaying 21 – 40 of 54

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