Existence, uniqueness and stabilization for a nonlinear plate system with nonlinear damping
Forced oscillations of beams on elastic bearings.
Generalized Strichartz Inequalities for the Wave Equation on the Laguerre Hypergroup
Mathematics Subject Classification: 42B35, 35L35, 35K35In this paper we study generalized Strichartz inequalities for the wave equation on the Laguerre hypergroup using generalized homogeneous Besov-Laguerre type spaces.
Inégalités pour un problème de Goursat
-regularity of solutions to first initial-boundary value problem for hyperbolic equations in cusp domains.
Le problème mixte hyperbolique
Long-term damped dynamics of the extensible suspension bridge.
Modeling of vibration for functionally graded beams
In this study, a vibration problem of Euler-Bernoulli beam manufactured with Functionally Graded Material (FGM), which is modelled by fourth-order partial differential equations with variable coefficients, is examined by using the Adomian Decomposition Method (ADM).The method is one of the useful and powerful methods which can be easily applied to linear and nonlinear initial and boundary value problems. As to functionally graded materials, they are composites mixed by two or more materials at a...
Modeling the tip-sample interaction in atomic force microscopy with Timoshenko beam theory
A matrix framework is developed for single and multispan micro-cantilevers Timoshenko beam models of use in atomic force microscopy (AFM). They are considered subject to general forcing loads and boundary conditions for modeling tipsample interaction. Surface effects are considered in the frequency analysis of supported and cantilever microbeams. Extensive use is made of a distributed matrix fundamental response that allows to determine forced responses through convolution and to absorb non-homogeneous...
Nonexistence of global solutions of a quasilinear bi-hyperbolic equation with dynamical boundary conditions.
Nonlinear feedback stabilization of a rotating body-beam without damping
Nonlinear feedback stabilization of a rotating body-beam without damping
This paper deals with nonlinear feedback stabilization problem of a flexible beam clamped at a rigid body and free at the other end. We assume that there is no damping and the feedback law proposed here consists of a nonlinear control torque applied to the rigid body and either a boundary control moment or a nonlinear boundary control force or both of them applied to the free end of the beam. This nonlinear feedback, which insures the exponential decay of the beam vibrations, extends the linear...
On a class of initial-boundary value problems in a domain with boundary containing isolated points
On a class of mixed boundary value problems for linear hyperbolic equations
On a Darboux problem for a third-order hyperbolic equation with multiple characteristics.
On periodic solutions of some equations of mathematical physics
On the correct formulation of a multidimensional problem for strictly hyperbolic equations of higher order.
On the correctness of the Dirichlet problem in a characteristic rectangle for fourth order linear hyperbolic equations.
On the strongly damped wave equation with nonlinear damping and source terms.
Periodic solutions of a piecewise linear beam equation damping and nonconstant load.