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Some variational convergence results for a class of evolution inclusions of second order using Young measures.
- Source :
- Advances in Mathematical Economics; 2005, p1-32, 32p
- Publication Year :
- 2005
-
Abstract
- This paper has two main parts. In the first part, we discuss the existence and uniqueness of the WE2,1-solution uμ,ν of a second order differential equation with two boundary points conditions in a finite dimensional space, governed by controls μ, ν which are measures on a compact metric space. We also discuss the dependence on the controls and the variational properties of the value function Vh(t, μ) := supν∈ℜh(uμ, ν(t)), associated with a bounded lower semicontinuous function h. In the second main part, we discuss the limiting behaviour of a sequence of dynamics governed by second order evolution inclusions with two boundary points conditions. We prove that (up to extracted sequences) the solutions stably converge to a Young measure ν and we show that the limit measure ν satisfies a Fatou-type lemma in Mathematical Economics with variational-type inclusion property. [ABSTRACT FROM AUTHOR]
- Subjects :
- MATHEMATICAL economics
ECONOMICS methodology
ECONOMETRICS
BESSEL functions
ECONOMICS
Subjects
Details
- Language :
- English
- ISBNs :
- 9784431538820
- Database :
- Complementary Index
- Journal :
- Advances in Mathematical Economics
- Publication Type :
- Book
- Accession number :
- 26173948
- Full Text :
- https://doi.org/10.1007/4-431-27233-X1