Skip to main content
Log in

Global Attractor of an Evolution Inclusion with Pulse Influence at Fixed Moments of Time

  • Published:
Ukrainian Mathematical Journal Aims and scope

Abstract

We consider an autonomous evolution inclusion with pulse perturbations at fixed moments of time. Under the conditions of global solvability, we prove the existence of a minimal compact set in the phase space that attracts all trajectories.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

REFERENCES

  1. A. M. Samoilenko and N. A. Perestyuk, Impulsive Differential Equations, World Scientific, New York (1995).

    Google Scholar 

  2. V. Barbu, Nonlinear Semigroups and Differential Equations in Banach Spaces, Noordhoff, New York (1976).

    Google Scholar 

  3. A. A. Tolstonogov and Ya. I. Umanskii, “On solutions of inclusions 2,” Sib. Mat. Zh., 33, No. 4, 163-173 (1992).

    Google Scholar 

  4. A. V. Kapustyan and J. Valero, “Attractors of multivalued semiflows generated by differential inclusions and their approximations,” Abstr. Appl. Anal., No. 1, 33-46 (2000).

    Google Scholar 

  5. V. S. Melnik and J. Valero, “On global attractors of multivalued semiprocesses and nonautonomous evolution inclusions,” Set-Valued Anal., No. 3, 83–111 (2000).

    Google Scholar 

  6. O. A. Ladyzhenskaya, V. A. Solonnikov, and N. N. Ural'tseva, Linear and Quasilinear Equations of Parabolic Type [in Russian], Nauka, Moscow (1967).

    Google Scholar 

  7. N. S. Papageorgiou, “Evolution inclusions involving a difference term of subdifferentials and applications,” Indian J. Pure Appl. Math., 28, No. 5, 575-610 (1997).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kapustyan, A.V., Perestyuk, N.A. Global Attractor of an Evolution Inclusion with Pulse Influence at Fixed Moments of Time. Ukrainian Mathematical Journal 55, 1283–1294 (2003). https://doi.org/10.1023/B:UKMA.0000010759.30810.77

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/B:UKMA.0000010759.30810.77

Keywords

Navigation