EXPONENTIAL STABILITY OF THE Co SEMIGROUP ASSOCIATED TO A THERMOELASTIC SYSTEM

We prove that the eo semigroup, associated to athermoelastic system is analitic and exponential stabl

EL LEMA DE NAKAO Y ALGUNAS APLICACIONES

En este trabajo se enuncia y demuestran dos Lemas importantes de Nakao. Estos Lemas nos permitirán obtener la tasa de decaimiento de la solución de algunas ecuaciones en derivadas parciales. En particular, probamos el decaimiento exponencial de la solución global de una ecuación de onda

STABILIZATION OF THE MOTION OF A VISCOELASTIC BODY UNDER

In this article, we prove the exponential stability of the motion of a viscoelastic body under control, using the stabilization theory of integro differential equations, introduced by Des

ASYMPTHOTIC BEHAVIOR OF MAGNETO-ELASTIC WAVES IN A CONDUCTIVE BOUNDED ENVIRONMENT

Using semigroup theory we are going to prooue the global existence solution o] a evolution model, which represente the magneto-elastic waves in a boundary conduciive media. Also, we are going to prooue that the the system is well set and using Dinamic Systems and La Salle 's Invariance Principie we are going to show that the energy asociated to the system decays to zero when t→+ ∞

EXPONENTIAL DECAY OF THE WEAK SOLUTION OF A NONLINEAR WAVE EQUATION

In this article, we prove the existence and uniqueness of the weak solution of a nonlinear wave equation. We prove the uniqueness by using the Visik - Ladyshenkaia Method. Also, using the Nakao s Lemma, we prove the exponential decay ofthe energy associated to the system

SOBRE LA ANALITICIDAD DEL SEMIGRUPO Co ASOCIADO A UN SISTEMA VISCOELÁSTICO

We proved that the semigroup C0 associated to a viscoelastic system is analytic and exponentially stable

CONTROL EN LA FRONTERA LIBRE DE UNA VIGA VISCOELÁSTICA CON MEMORIA

Usando la Teoría de Semigrupo probamos la existencia de solución global de la ecuación de la viga con memoria, esta viga esta fija en uno de los extremos y en el otro dotado de un control ƒ. También, usando técnicas multiplicativas, funcional de Lyapunov, sistemas dinámicos y algunos resultados de Datko, Buck, mostramos que la energía asociada al sistema decae a cero cuando t → + ∞

DECAIMIENTO DE LA ECUACIÓN DE ONDA CON DISIPACIÓN

In this work, we consider the problem of existence of global solutions for a scalar wave equation with dissipation. We study also, the asymptotic behaviour of the solutions. In this part of the paper; we present an alternative method - inspired in nonlinear techniques. In order lo attack this problem, specifically, we used the Conrad - Rao method [l]

NONLINEAR CONTROL ON THE BOUNDARY OF CUBIC CRYSTALS

sing monotone maximal operators Theory and the Minty-Browder theorem, we prove the existence of global solution to the elastic-dynamic system on cubic crystals, which is given a nonlinear control f. Also, using multiplicative techniques, results of R. Dautry. - J. L. Lions, integral inequalities, Russel' Principie, the W. Liu method, and adapting the F. Conrad and B. Rao method in the calculation of the estimates, we show that the energy associated to the system decays to zero when t → +∞

DIFFUSION OF A CONTAMINANT WITH INHOMOGENEOUS BOUNDARY CONDITIONS

We prove the existence of solution for a mathematic model of diffusion of a contaminant using the Nonlinear Semigroups Theory, by means of afin operators. We also study a realistic model by means of satura tíon effects