Co-density and other properties of the solution set of differential inclusions with noncompact right-hand side

Vladimir V. Goncharov

Discussiones Mathematicae, Differential Inclusions, Control and Optimization (1996)

  • Volume: 16, Issue: 2, page 103-120
  • ISSN: 1509-9407

Abstract

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There are studied two classes of differential inclusions with right-hand side admitting noncompact values in a Banach space. Co-density, lower semicontinuity in initial point and relaxation property of the solution set have been obtained.

How to cite

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Vladimir V. Goncharov. "Co-density and other properties of the solution set of differential inclusions with noncompact right-hand side." Discussiones Mathematicae, Differential Inclusions, Control and Optimization 16.2 (1996): 103-120. <http://eudml.org/doc/275833>.

@article{VladimirV1996,
abstract = {There are studied two classes of differential inclusions with right-hand side admitting noncompact values in a Banach space. Co-density, lower semicontinuity in initial point and relaxation property of the solution set have been obtained.},
author = {Vladimir V. Goncharov},
journal = {Discussiones Mathematicae, Differential Inclusions, Control and Optimization},
keywords = {differential inclusions; tangential conditions; noncompact Lipschitzean right-hand side; noncompact Lipschitzian right-hand side},
language = {eng},
number = {2},
pages = {103-120},
title = {Co-density and other properties of the solution set of differential inclusions with noncompact right-hand side},
url = {http://eudml.org/doc/275833},
volume = {16},
year = {1996},
}

TY - JOUR
AU - Vladimir V. Goncharov
TI - Co-density and other properties of the solution set of differential inclusions with noncompact right-hand side
JO - Discussiones Mathematicae, Differential Inclusions, Control and Optimization
PY - 1996
VL - 16
IS - 2
SP - 103
EP - 120
AB - There are studied two classes of differential inclusions with right-hand side admitting noncompact values in a Banach space. Co-density, lower semicontinuity in initial point and relaxation property of the solution set have been obtained.
LA - eng
KW - differential inclusions; tangential conditions; noncompact Lipschitzean right-hand side; noncompact Lipschitzian right-hand side
UR - http://eudml.org/doc/275833
ER -

References

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  1. [1] A.A. Tolstonogov, Differential inclusions in a Banach space, Nauka (Sib. otd.), Novosibirsk 1986 (in Russian). Zbl0689.34014
  2. [2] A.A. Tolstonogov, On density and co-density of a set of solutions of a differential inclusion in a Banach space, Dokl. AN SSSR 261 (1981), 293-296. Zbl0504.34006
  3. [3] G. Colombo, Weak flow-invariance for non-convex differential inclusions, Differential and Integral Equations 5 (1992), 173-180. Zbl0757.34017
  4. [4] Z. Kánnai, Viability theorems on strongly sleek tubes, Annales Univ. Sci. Budapest, Sect. Comp. 13 (1992), 63-75. Zbl0881.34030
  5. [5] A.A. Tolstonogov and V.V Goncharov, On solutions of differential inclusion with noncompact-valued right-hand side in a Banach space. Manuscript deposited in All-Union Research Institute of Thechnical Information, Moscow 1986 (in Russian). 
  6. [6] F. Riesz and B.SZ.-Nagy, Functional Analysis, Frederick Ungar Publishing CO., Budapest 1978. Zbl0070.10902
  7. [7] J.-P. Aubin and A. Cellina, Differential Inclusions, Set-valued Maps and Viability Theory, Springer-Verlag, Berlin 1984. 
  8. [8] C. Castaing and M. Valadier, Convex Analysis and Measurable Multifunctions, Lecture Notes in Mathematics 580, Springer-Verlag, Berlin 1977. 
  9. [9] C.J. Himmelberg, Measurable relations, Fund. Math. 87 (1975), 53-72. Zbl0296.28003
  10. [10] A. Fryszkowski, Continuous selections for a class of nonconvex multivalued maps, Studia Math. 76 (1983), 163-174. Zbl0534.28003
  11. [11] Phan van Chuong, A density theorem with an application in relaxation of nonconvex-valued differential equations, Seminare d'Analyse Convexe 15 (1985) 2.1-2.22. 

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