A boundary value problem for the wave equation.
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A characteristic initial value problem for a strictly hyperbolic system.
Iraniparast, Nezam (2004)
International Journal of Mathematics and Mathematical Sciences
A fixed point theorem for affine mappings and its application to elasticity theory
Oleg Zubelevich (2010)
Open Mathematics
In this paper we obtain a general fixed point theorem for an affine mapping in Banach space. As an application of this theorem we study existence of periodic solutions to the equations of the linear elasticity theory.
A functional method applied to operator equations.
Guezane-Lakoud, Assia, Chaoui, Abderrezak (2008)
Banach Journal of Mathematical Analysis [electronic only]
A general decay estimate for a finite memory thermoelastic Bresse system
Cyril Dennis Enyi, Soh Edwin Mukiawa (2022)
Applications of Mathematics
This work considers a Bresse system with viscoelastic damping on the vertical displacement and heat conduction effect on the shear angle displacement. A general stability result with minimal condition on the relaxation function is obtained. The system under investigation, to the best of our knowledge, is new and has not been studied before in the literature. What is more interesting is the fact that our result holds without the imposition of the equal speed of wave propagation condition, and differentiation...
A hyperbolic problem with nonlinear second-order boundary damping.
Doronin, G.G., Lar'kin, N.A., Souza, A.J. (1998)
Electronic Journal of Differential Equations (EJDE) [electronic only]
A memory type boundary stabilization of a mildly damped wave equation.
Kirane, Mokhtar, Tatar, Nasser-eddine (1999)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
A Method of Characteristics Solving the Initial-Boundary Value Problem of a Hyperbolic Differential Equation of Second Order.
W. Hackbusch, S. Dittrich (1980)
Numerische Mathematik
A mixed problem for quasilinear impulsive hyperbolic equations with non stationary boundary and transmission conditions.
Aliev, Akbar B., Mamedova, Ulviya M. (2010)
Advances in Difference Equations [electronic only]
A mixed problem with only integral boundary conditions for a hyperbolic equation.
Bouziani, Abdelfatah (2004)
International Journal of Mathematics and Mathematical Sciences
A new method to obtain decay rate estimates for dissipative systems
Patrick Martinez (1999)
ESAIM: Control, Optimisation and Calculus of Variations
A new method to obtain decay rate estimates for dissipative systems with localized damping.
Patrick Martínez (1999)
Revista Matemática Complutense
We consider the wave equation damped with a locally distributed nonlinear dissipation. We improve several earlier results of E. Zuazua and of M. Nakao in two directions: first, using the piecewise multiplier method introduced by K. Liu, we weaken the usual geometrical conditions on the localization of the damping. Then thanks to some new nonlinear integral inequalities, we eliminate the usual assumption on the polynomial growth of the feedback in zero and we show that the energy of the system decays...
A new method to obtain decay rate estimates for dissipative systems
Patrick Martinez (2010)
ESAIM: Control, Optimisation and Calculus of Variations
We consider the wave equation damped with a boundary nonlinear velocity feedback p(u'). Under some geometrical conditions, we prove that the energy of the system decays to zero with an explicit decay rate estimate even if the function ρ has not a polynomial behavior in zero. This work extends some results of Nakao, Haraux, Zuazua and Komornik, who studied the case where the feedback has a polynomial behavior in zero and completes a result of Lasiecka and Tataru. The proof is based on the construction...
A nonexistence result for a nonlinear PDE with Robin condition.
Khodja, Brahim (2006)
International Journal of Mathematics and Mathematical Sciences
A nonlinear wave equation with a nonlinear integral equation involving the boundary value.
Nguyen, Thanh Long, Bui, Tien Dung (2004)
Electronic Journal of Differential Equations (EJDE) [electronic only]
A nonlocal mixed semilinear problem for second-order hyperbolic equations.
Mesloub, Said, Messaoudi, Salim A. (2003)
Electronic Journal of Differential Equations (EJDE) [electronic only]
A scaled characteristics method for the asymptotic solution of weakly nonlinear wave equations.
Easwaran, Chirakkal V. (1998)
Electronic Journal of Differential Equations (EJDE) [electronic only]
A selfadjoint hyperbolic boundary-value problem.
Iraniparast, Nezam (2003)
Electronic Journal of Differential Equations (EJDE) [electronic only]
A self-adjoint “simultaneous crossing of the axis”.
Kreith, Kurt (1994)
Georgian Mathematical Journal
A stability estimate for a solution of the problem of determining the dielectric permittivity.
Romanov, V.G. (2004)
Sibirskij Matematicheskij Zhurnal
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