Skip to main content
SpringerLink
Log in

Arcwise Connectedness of Sets of Solutions to Differential Inclusions

  • Published:
Journal of Mathematical Sciences Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

REFERENCES

  1. J. P. Aubin and A. Cellina, Differential Inclusions, Springer-Verlag, Berlin (1984).

    Google Scholar 

  2. F. S. D. Blasi and G. Pianigiani, “Topological properties of nonconvex differential inclusions,” Nonlin. Anal., 20, 871–894 (1993).

    Google Scholar 

  3. A. Bressan and G. Colombo, “Extensions and selections of maps with decomposable values,” Stud. Math., 102, 209–216 (1988).

    Google Scholar 

  4. A. Cellina, “On the set of solutions to lipschitzian differential inclusions,” Differ. Integral Equ., 1, 495–500 (1988).

    Google Scholar 

  5. A. Cellina and A. Ornelas, “Representation of the attainable set for lipschitzian differential inclusions,” Rocky Mt. J. Math., 22, 117–124 (1992).

    Google Scholar 

  6. A. Cellina and V. Staicu, “Well posedness for differential inclusions on closed sets,” J. Differ. Equations, 92, 2–13 (1991).

    Google Scholar 

  7. R. Colombo, A. Fryszkowski, T. Rzezukowski, and V. Staicu, “Continuous selections of solution sets of lipschitzian differential inclusions,” Funkc. Ekvacioj, Ser. Int., 34, 321–330 (1991).

    Google Scholar 

  8. F. S. De Blasi, G. Pianigiani, and V. Staicu, “Topological properties of nonconvex differential inclusions of evolution type,” Nonlin. Anal., 24, 711–720 (1995).

    Google Scholar 

  9. A. Fryszkowski, “Continuous selections for a class of nonconvex multivalued maps,” Stud. Math., 76, 163–174 (1981).

    Google Scholar 

  10. F. Hiai and H. Umegaki, “Integrals, conditional expectations, and martingales of multivalued maps,” J. Multivariate Anal., 7, 149–182 (1977).

    Google Scholar 

  11. S. A. Marano and V. Staicu, “On the set of solutions to a class of nonconvex nonclosed differential inclusions,” Acta Math. Hungar., 76, 287–301 (1997).

    Google Scholar 

  12. V. Staicu, “Continuous selections of solution sets to evolution equations,” Proc. Am. Math. Soc., 113, 403–413 (1991).

    Google Scholar 

  13. V. Staicu, “Qualitative properties of solution sets to lipschitzean differential inclusions,” In: Proc. Int. Conf. Differ. Equations (C. Perello, C. Simo, and J. Sola-Morales, Eds.), World Scientific, Singapore (1993), pp. 910–914.

    Google Scholar 

  14. V. Staicu and H. Wu, “Arcwise connectedness of solution sets to lipschitzian differential inclusions,” Boll. Univ. Mat. Ital., Ser. A, 5, 253–256 (1991).

    Google Scholar 

Download references

Authors
  1. V. Staicu
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Staicu, V. Arcwise Connectedness of Sets of Solutions to Differential Inclusions. Journal of Mathematical Sciences 120, 1006–1015 (2004). https://doi.org/10.1023/B:JOTH.0000013563.47057.04

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/B:JOTH.0000013563.47057.04

Keywords

Search

Navigation