On Approximate Controllability of Functional Impulsive Evolution Inclusions in a Hilbert Space

Agata Grudzka, Krzysztof Rykaczewski

Research output: Contribution to journalArticlepeer-review

23 Scopus citations

Abstract

In this paper, we study approximate controllability of semilinear impulsive functional differential systems with finite delay. Simple sufficient conditions for such controllability are given. An example is provided to illustrate the application of the obtained results.

Original languageEnglish
Pages (from-to)414-439
Number of pages26
JournalJournal of Optimization Theory and Applications
Volume166
Issue number2
DOIs
StatePublished - Aug 25 2015
Externally publishedYes

Funding

The authors would like to express their gratitude to Professor Grzegorz Gabor for bringing paper [] to their attention and valuable comments which improved the final version of this paper. Moreover, the thanks of the authors go to an anonymous referee for his/hers comments, which contributed to the improvement of the present paper. This work was supported in part by the Marshall of Kuyavian-Pomeranian Voivodeship in Poland with the funds from European Social Fund (EFS) (a part of integrated operational programme for regional development, activity 2.6) in the form of a grant for Ph.D. students (Step in the future programme, fifth edition).

FundersFunder number
Marshall of Kuyavian-Pomeranian
European Social Fund
Etablissement français du sang

    Keywords

    • Approximate controllability
    • Fixed point
    • Hilbert space
    • Mild solution
    • Semilinear differential inclusion

    Fingerprint

    Dive into the research topics of 'On Approximate Controllability of Functional Impulsive Evolution Inclusions in a Hilbert Space'. Together they form a unique fingerprint.

    Cite this