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Existence and uniqueness of solutions for delay stochastic evolution equations of second order in time

 

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Opened Access Existence and uniqueness of solutions for delay stochastic evolution equations of second order in time
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Author: Garrido Atienza, María José
Real Anguas, José
Department: Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico
Date: 2003-06
Published in: Stochastics and Dynamics, 3 (2), 141-167.
Document type: Article
Abstract: We prove some results on the existence and uniqueness of solutions for a class of evolution equations of second order in time, containing some hereditary characteristics. Our theory is developed from a variational point of view, and in a general functional setting which permits us to deal with several kinds of delay terms. In particular, we can consider terms which contain spatial partial derivatives with deviating arguments.
Cite: Garrido Atienza, M.J. y Real Anguas, J. (2003). Existence and uniqueness of solutions for delay stochastic evolution equations of second order in time. Stochastics and Dynamics, 3 (2), 141-167.
Size: 212.5Kb
Format: PDF

URI: http://hdl.handle.net/11441/47901

DOI: 10.1142/S0219493703000723

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