EXISTENCE PROBLEMS IN SECOND ORDER EVOLUTION INCLUSIONS: DISCRETIZATION AND VARIATIONAL APPROACH

We prove, under appropriate assumptions, the existence of solutions for a second order evolution inclusion with delay in a separable reflexive Banach space. Several applications are investigated via discretization techniques and variational convergence results.

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Bibliographic Details
Published in:Taiwanese journal of mathematics 2008-09, Vol.12 (6), p.1433-1475
Main Authors: Castaing, C., Ibrahim, A. G, Yarou, M.
Format: Article
Language:English
Subjects:
Banach space
Continuous functions
Differentials
Hilbert spaces
Mathematical functions
Mathematical theorems
Mathematics
Perceptron convergence procedure
Separable spaces
Topological spaces
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Description
Summary:We prove, under appropriate assumptions, the existence of solutions for a second order evolution inclusion with delay in a separable reflexive Banach space. Several applications are investigated via discretization techniques and variational convergence results.
ISSN:1027-5487
2224-6851
DOI:10.11650/twjm/1500405034