Three boundary value problems for second order differential inclusions in Banach spaces

• Autorzy: Azzam D. , Castaing C. , Thibault L.
• Języki publikacji: EN

Abstrakty

EN

The paper studies, in the context of Banach spaces, the problem of three boundary conditions for both second order differential inclusions and second order ordinary differential equations. The results are obtained in several new settings of Sobolev-type spaces involving Bochner and Pettis integrals. Some classes of second order multivalued evolution equations associated with m-accretive operators are also considered. Applications to some control problems are provided with the help of narrow convergence for Young measures.

Słowa kluczowe

EN

boundary; extreme point; multifunction; Pettis integral; relaxation; second derivative; Young measure

PL

całka Pettisa; druga pochodna; miara Younga; punkt ekstremum; relaksacja; warunek brzegowy; wielofunkcja

• Wydawca: Systems Research Institute, Polish Academy of Sciences
• Czasopismo: Control and Cybernetics
• Rocznik: 2002
• Tom: Vol. 31, no. 3
• Strony: 659--693
• Opis fizyczny: Bibliogr. 53 poz.,

Twórcy

autor

Azzam D.

• Department de Mathematiques, Universite de Jijel, Algeria

autor

Castaing C.

• Department de Mathernatiques, Case 051 Universite Montpellier II, F-34095 Montpellier Cedex 5, France

autor

Thibault L.

• Department de Mathernatiques, Case 051 Universite Montpellier II, F-34095 Montpellier Cedex 5, France

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