A class of retracts in L p with some applications to differential inclusion

Grzegorz Bartuzel; Andrzej Fryszkowski

Discussiones Mathematicae, Differential Inclusions, Control and Optimization (2002)

  • Volume: 22, Issue: 2, page 213-224
  • ISSN: 1509-9407

How to cite

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Grzegorz Bartuzel, and Andrzej Fryszkowski. "A class of retracts in $L^{p}$ with some applications to differential inclusion." Discussiones Mathematicae, Differential Inclusions, Control and Optimization 22.2 (2002): 213-224. <http://eudml.org/doc/271480>.

@article{GrzegorzBartuzel2002,
author = {Grzegorz Bartuzel, Andrzej Fryszkowski},
journal = {Discussiones Mathematicae, Differential Inclusions, Control and Optimization},
keywords = {bounded domain; Laplace operator; Lipschitzean multifunction; retract; existence},
language = {eng},
number = {2},
pages = {213-224},
title = {A class of retracts in $L^\{p\}$ with some applications to differential inclusion},
url = {http://eudml.org/doc/271480},
volume = {22},
year = {2002},
}

TY - JOUR
AU - Grzegorz Bartuzel
AU - Andrzej Fryszkowski
TI - A class of retracts in $L^{p}$ with some applications to differential inclusion
JO - Discussiones Mathematicae, Differential Inclusions, Control and Optimization
PY - 2002
VL - 22
IS - 2
SP - 213
EP - 224
LA - eng
KW - bounded domain; Laplace operator; Lipschitzean multifunction; retract; existence
UR - http://eudml.org/doc/271480
ER -

References

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  1. [1] G. Bartuzel and A. Fryszkowski, On existence of solutions for inclusions Δu ∈ F(x,∇u), in: R. März, ed., Proc. of the Fourth Conf. on Numerical Treatment of Ordinary Differential Equations, pages 1-7, Sektion Mathematik der Humboldt Universität zu Berlin, Berlin, Sep. 1984. Zbl0571.35041
  2. [2] G. Bartuzel and A. Fryszkowski, Stability of the principal eigenvalue of the Schrödinger type problems for differential inclusions, Toplological Methods in Nonlinear Analysis 16 (1) (2000), 181-194. Zbl0980.34080
  3. [3] G. Bartuzel and A. Fryszkowski, A topological property of the solution set to the Schrödinger differential inclusions, Demomstratio Mathematicae 25 (3) (1995), 411-433. Zbl0886.47026
  4. [4] F.D. Blasi and G. Pianigiani, Solution sets of boundary value problems for nonconvex differential inclusion, Oct. 1992, preprint n 115. Zbl0785.34018
  5. [5] A. Bressan, A. Cellina and A. Fryszkowski, A class of absolute retracts in spaces of integrable functions, Proc. AMS 112 (1991), 413-418. Zbl0747.34014
  6. [6] A. Bressan and G. Colombo, Extensions and selections of maps with decomposable values, Studia Math. 90 (1986) 163-174. 
  7. [7] N. Dunford and J.T. Schwartz, Linear Operators, Wiley, New York 1958. 
  8. [8] Y. Egorov and V. Kondratiev, On Spectral Theory of Elliptic Operators, Operator Theory, Advances and Applications, Vol. 89, Birkhäuser, Basel, Boston, Berlin 1996. Zbl0855.35001
  9. [9] A. Fryszkowski, Continuous selections for a class of nonconvex multivalued maps, Studia Math. 76 (1983), 163-174. Zbl0534.28003
  10. [10] D. Gilbarg and N.S. Trudinger, Elliptic Partial Differential Equations of Second Order, Die Grundlehren der Mathematischen Wissenschaften in Einzeldarstellungen mit Besonderer Berücksichtigung der Angewendungsgebiete, Springer, Berlin 1989. Zbl0691.35001
  11. [11] K. Kuratowski and C. Ryll-Nardzewski, A general theorem on selectors, Bull. Acad. Polon. Sci. 13 (1965) 397-403. Zbl0152.21403

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