IJPAM: Volume 105, No. 4 (2015)

ON THE SMOOTNESS OF FUNCTION OF REACHABILITY
FOR AUTONOMOUS DIFFERENTIAL EQUATIONS

K.G. Dishlieva
Department of Differential Equations
Faculty of Applied Mathematics and Informatics
Technical University of Sofia
1756 Sofia, 8 Kl. Ohridski Blvd, BULGARIA


Abstract. A function of reachability $\Theta^+$ is investigated for a wide class of autonomous systems of differential equations and relatively wide class reachable sets. The sufficient conditions for differentiability of the function $\Theta^+$ are found.

Received: September 28, 2015

AMS Subject Classification: 34A34

Key Words and Phrases: autonomous differential equations, function of reachability, differentiability

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DOI: 10.12732/ijpam.v105i4.16 How to cite this paper?

Source:
International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2015
Volume: 105
Issue: 4
Pages: 763 - 773


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