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Differential inclusions and multivalued integrals

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Cichoń K., Cichoń M., Satco B.

Discussiones Mathematicae, Differential Inclusions, Control and Optimization

2013

tom 33

nr 2

171-191

In this paper we consider the nonlocal (nonstandard) Cauchy problem for differential inclusions in Banach spaces x'(t) ∈ F(t,x(t)), x(0)=g(x), t ∈ [0,T] = I. Investigation over some multivalued integrals allow us to prove the existence of solutions for considered problem. We concentrate on the problems for which the assumptions are expressed in terms of the weak topology in a Banach space. We recall and improve earlier papers of this type. The paper is complemented by a short survey about multivalued integration including Pettis and Henstock-Kurzweil-Pettis multivalued integrals.

Ograniczanie wyników

1 Discussiones Mathematicae, Differential Inclusions, Control and Optimization

1 Cichoń K.

1 Cichoń M.

1 Satco B.

1 2013

Wyniki wyszukiwania

Differential inclusions and multivalued integrals