The solution set of a differential inclusionon a closed set of a Banach space

• Autorzy: Song Wen
• Języki publikacji: EN

Abstrakty

EN

We consider differential inclusions with state constraints in a Banach space and study the properties of their solution sets. We prove a relaxation theorem and we apply it to prove the well-posedness of an optimal control problem.

Słowa kluczowe

EN

differential inclusion; relaxation theorem; well-posedness

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Applicationes Mathematicae
• Rocznik: 1995-1996
• Tom: 23
• Numer: 1
• Strony: 13-23

Daty

wydano

1995

otrzymano

1993-10-18

Twórcy

autor

Song Wen

• Department of Mathematics, Harbin Normal University, Harbin, China

Bibliografia

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• [9] A. A. Tolstonogov, The solution set of a differential inclusion in a Banach space. II, Sibirsk. Mat. Zh. 25 (4) (1984), 159-173 (in Russian).
• [10] A. A. Tolstonogov and P. I. Chugunov, The solution set of a differential inclusion in a Banach space. I, ibid. 24 (6) (1983), 144-159 (in Russian).
• [11] Q. J. Zhu, On the solution set of differential inclusions in Banach space, J. Differential Equations 93 (1991), 213-237.