Artículo
Existence of exponentially attracting stationary solutions for delay evolution equations
Autor/es | Caraballo Garrido, Tomás
Garrido Atienza, María José Schmalfuss, Björn |
Departamento | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
Fecha de publicación | 2007 |
Fecha de depósito | 2015-04-08 |
Publicado en |
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Resumen | We consider the exponential stability of semilinear stochastic evolution equations with delays when zero is not a solution for these equations. We prove the existence of a non-trivial stationary solution exponentially ... We consider the exponential stability of semilinear stochastic evolution equations with delays when zero is not a solution for these equations. We prove the existence of a non-trivial stationary solution exponentially stable, for which we use a general random fixed point theorem for general cocycles. We also construct stationary solutions with the stronger property of attracting bounded sets uniformly, by means of the theory of random dynamical systems and their conjugation properties. |
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