Dergiler / Mathematical and Computational Applications / 2003 / Cilt: 8 - Sayı: 1

On the construction of differential inclusion with prescribed integral funnel

Sayfa
119–126
DOI
—
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For a given $varepsilon$>0 and a given special type set valued map t$rightarrow$V(t), t $in$ [$t_ast$,$t^ast$], it is required to define differential inclusion such that the Hausdorff distance between the reachable sets of the differential inclusion with initial set ($t_ast$,V($t_ast$)) and V(t) would be less than $varepsilon$ for every t $in$ [$t_ast$,$t^ast$].

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this article, the inverse problem of the differential inclusion theory is considered.
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Temel Bulgular & Veri:In this article, the inverse problem of the differential inclusion theory is considered.
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Sonuç & Katkı:For a given $varepsilon$>0 and a given special type set valued map t$rightarrow$V(t), t $in$ [$t_ast$,$t^ast$], it is required to define differential inclusion such that the Hausdorff distance between the reachable sets of the differential inclusion with initial set ($t_ast$,V($t_ast$)) and V(t) would be less than $varepsilon$ for every t $in$ [$t_ast$,$t^ast$].
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

Abstract

In this article, the inverse problem of the differential inclusion theory is considered. For a given $varepsilon$>0 and a given special type set valued map t$rightarrow$V(t), t $in$ [$t_ast$,$t^ast$], it is required to define differential inclusion such that the Hausdorff distance between the reachable sets of the differential inclusion with initial set ($t_ast$,V($t_ast$)) and V(t) would be less than $varepsilon$ for every t $in$ [$t_ast$,$t^ast$].

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Bu Makaleye Atıf Yap

GUSEINOV, K. G., ÖZER, O., DÜZCE, S. A. (2003). On the construction of differential inclusion with prescribed integral funnel. Mathematical and Computational Applications, Cilt: 8 - Sayı: 1, 119–126. https://ajindex.com/articles/280365

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Kaynakça (13)

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  4. J.P.Aubin and H. Frankowska, Set Valued Analysis, Birkhauser, Boston, 1990
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  9. Kh.G.Guseinov and V.N.Ushakov, Differential Properties of Integral Funnels and Stable Bridges, J. Appl Math. Mech., 55, 56-61, 1991
  10. Kh.G.Guseinov and V.N.Ushakov, The Construction of Differential Inclusions with Prescribed Properties, Different. Equal, 36,488-496, 2000
  11. T.Kh.Babalyev and V.N.Ushakov, An Inverse Problem in the Theory of Differential Inclusions, Different. Equal, 34,447-453, 1998
  12. M.Boudaoud and T.Rzezuchowski, On Differential Inclusions with Prescribed Solutions, Cos. Pestov. Math., 114,289-293, 1989
  13. Kh.G.Guseinov, O.Ozer and S.A.Duzce, On the Convex Continuation of the Convex Compact Multivalued Map, Abstracts XII National Mathematics Symposium. 6-10 September, Malatya, Turkey. 27-30, 1999.