Lower semicontinuous differential inclusions

Tzanko Donchev

Discussiones Mathematicae, Differential Inclusions, Control and Optimization (1998)

  • Volume: 18, Issue: 1-2, page 19-25
  • ISSN: 1509-9407

Abstract

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In the paper we consider lower semicontinuous differential inclusions with one sided Lipschitz and compact valued right hand side in a Banach space with uniformly convex dual. We examine the nonemptiness and some qualitative properties of the solution set.

How to cite

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Tzanko Donchev. "Lower semicontinuous differential inclusions." Discussiones Mathematicae, Differential Inclusions, Control and Optimization 18.1-2 (1998): 19-25. <http://eudml.org/doc/275979>.

@article{TzankoDonchev1998,
abstract = {In the paper we consider lower semicontinuous differential inclusions with one sided Lipschitz and compact valued right hand side in a Banach space with uniformly convex dual. We examine the nonemptiness and some qualitative properties of the solution set.},
author = {Tzanko Donchev},
journal = {Discussiones Mathematicae, Differential Inclusions, Control and Optimization},
keywords = {differential inclusions; one sided Lipschitz multifunctions; one-sided Lipschitz multifunctions; Scorza Dragoni lower semicontinuous},
language = {eng},
number = {1-2},
pages = {19-25},
title = {Lower semicontinuous differential inclusions},
url = {http://eudml.org/doc/275979},
volume = {18},
year = {1998},
}

TY - JOUR
AU - Tzanko Donchev
TI - Lower semicontinuous differential inclusions
JO - Discussiones Mathematicae, Differential Inclusions, Control and Optimization
PY - 1998
VL - 18
IS - 1-2
SP - 19
EP - 25
AB - In the paper we consider lower semicontinuous differential inclusions with one sided Lipschitz and compact valued right hand side in a Banach space with uniformly convex dual. We examine the nonemptiness and some qualitative properties of the solution set.
LA - eng
KW - differential inclusions; one sided Lipschitz multifunctions; one-sided Lipschitz multifunctions; Scorza Dragoni lower semicontinuous
UR - http://eudml.org/doc/275979
ER -

References

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  1. [1] A. Bressan, Upper and lower semicontinuous differential inclusions. A unified approach, in Nonlinear Controllability and Optimal Control (H.Sussman ed.) M. Dekker (1990), 21-31. Zbl0704.49011
  2. [2] A. Bressan and G. Colombo, Selections and representations of multifunctions in paracompact spaces, Studia Math. 102 (1992), 209-216. Zbl0807.54020
  3. [3] A. Bressan and G. Colombo, Extensions and selections of maps with decomposable values, Studia Math. 90 (1988), 69-86. Zbl0677.54013
  4. [4] K. Deimling, Multivalued differential equations, De Gruyter Berlin 1992. 
  5. [5] T. Donchev, Lower semicontinuous differential inclusions. One-sided Lipschitz approach, Colloq. Math. 74 (1997), 177-184. Zbl0891.34017
  6. [6] T. Donchev, Semicontinuous differential inclusions, Rend. Sem. Mat. Univ. Padova - to appear. 
  7. [7] T. Donchev and V. Angelov, Regular and singular perturbations of upper semicontinuous differential inclusions, Itern. J. Math & Math. Sci. 20 (1997), 699-706. Zbl0896.34012
  8. [8] A. Tolstonogov, Differential Inclusions in Banach Spaces, Novosibirsk 1986 (Russian). 

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