Exponential decay of solutions to a fourth-order viscoelastic evolution equation in .
Exponential decay of solutions to a viscoelastic equation with nonlinear localized damping.
Exponential decay to partially thermoelastic materials
We study the thermoelastic system for material which are partially thermoelastic. That is, a material divided into two parts, one of them a good conductor of heat, so there exists a thermoelastic phenomenon. The other is a bad conductor of heat so there is not heat flux. We prove for such models that the solution decays exponentially as time goes to infinity. We also consider a nonlinear case.
Exponential energy decay of solutions of elastic wave equations with the Dirichlet condition.
Exponential law in the jet bundle, symmetries of differential equations and Cartan's moving frame. (Loi exponentielle dans le fibré des jets, symétries des équations différentielles et repère mobile de Cartan.)
Exponential of a hamiltonian in large subsets of a lattice and applications
Exponential representation of solutions of ordinary differential equations
Exponential stability and global attractors for a thermoelastic bresse system.
Exponential stability and transfer functions of processes governed by symmetric hyperbolic systems
In this paper we study the frequency and time domain behaviour of a heat exchanger network system. The system is governed by hyperbolic partial differential equations. Both the control operator and the observation operator are unbounded but admissible. Using the theory of symmetric hyperbolic systems, we prove exponential stability of the underlying semigroup for the heat exchanger network. Applying the recent theory of well-posed infinite-dimensional linear systems, we prove that the system is...
Exponential Stability and Transfer Functions of Processes Governed by Symmetric Hyperbolic Systems
In this paper we study the frequency and time domain behaviour of a heat exchanger network system. The system is governed by hyperbolic partial differential equations. Both the control operator and the observation operator are unbounded but admissible. Using the theory of symmetric hyperbolic systems, we prove exponential stability of the underlying semigroup for the heat exchanger network. Applying the recent theory of well-posed infinite-dimensional linear systems, we prove that the system...
Exponential stability for impulsive BAM neural networks with time-varying delays and reaction-diffusion terms.
Exponential stability for the wave equation with weak nonmonotone damping.
Exponential stability of a flexible structure with history and thermal effect
In this paper we study the asymptotic behavior of a system composed of an integro-partial differential equation that models the longitudinal oscillation of a beam with a memory effect to which a thermal effect has been given by the Green-Naghdi model type III, being physically more accurate than the Fourier and Cattaneo models. To achieve this goal, we will use arguments from spectral theory, considering a suitable hypothesis of smoothness on the integro-partial differential equation.
Exponential stability of a nonlinear distributed parameter system.
Exponential stability of linear and almost periodic systems on Banach spaces.
Exponential stability of positive solutions to some nonlinear heat equations.
Exponential stability of solutions of the Cauchy problem for a diffusion equation with absorption with a distribution initial condition.
Exponential stability of two coupled second-order evolution equations.
Exponential Sums and Nonlinear Schrödinger Equations.
Exponential-Bessel partial differential equation and Fox’s -function