Existence and equivalence with an optimization problem for some difference inclusions

A discrete variant of a second order evolution equation is presented. Some existence theorems are given. The equivalence with a minimization problem is established.

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Bibliographic Details
Published in:Nonlinear analysis 2004-05, Vol.57 (5), p.795-813
Main Author: Apreutesei, N.C.
Format: Article
Language:English
Subjects:
Calculus of variations and optimal control
Exact sciences and technology
Mathematical analysis
Mathematics
Maximal monotone operator
Resolvent
Sciences and techniques of general use
Strongly monotone operator
Subdifferential mapping
Yosida approximation
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Description
Summary:A discrete variant of a second order evolution equation is presented. Some existence theorems are given. The equivalence with a minimization problem is established.
ISSN:0362-546X
1873-5215
DOI:10.1016/j.na.2004.03.018