ArticleOriginal scientific text

Title

A class of retracts in Lp with some applications to differential inclusion

Authors 1, 1

Affiliations

  1. Faculty of Mathematics and Information Sciences, Warsaw University of Technology, Plac Politechniki 1, 00-661 Warszawa, Poland

Bibliography

  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.
  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.
  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.
  4. F.D. Blasi and G. Pianigiani, Solution sets of boundary value problems for nonconvex differential inclusion, Oct. 1992, preprint n 115.
  5. A. Bressan, A. Cellina and A. Fryszkowski, A class of absolute retracts in spaces of integrable functions, Proc. AMS 112 (1991), 413-418.
  6. A. Bressan and G. Colombo, Extensions and selections of maps with decomposable values, Studia Math. 90 (1986) 163-174.
  7. N. Dunford and J.T. Schwartz, Linear Operators, Wiley, New York 1958.
  8. Y. Egorov and V. Kondratiev, On Spectral Theory of Elliptic Operators, Operator Theory, Advances and Applications, Vol. 89, Birkhäuser, Basel, Boston, Berlin 1996.
  9. A. Fryszkowski, Continuous selections for a class of nonconvex multivalued maps, Studia Math. 76 (1983), 163-174.
  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.
  11. K. Kuratowski and C. Ryll-Nardzewski, A general theorem on selectors, Bull. Acad. Polon. Sci. 13 (1965) 397-403.
Pages:
213-224
Main language of publication
English
Received
2002-03-21
Published
2002
Exact and natural sciences