Wyniki wyszukiwania

Sortuj według:

Ogranicz wyniki do:

Artykuł dostępny w postaci pełnego tekstu - kliknij by otworzyć plik

Volterra integral inclusions via Henstock-Kurzweil-Pettis integral

100%

Satco B.

Discussiones Mathematicae, Differential Inclusions, Control and Optimization

2006

tom 26

nr 1

87-101

In this paper, we prove the existence of continuous solutions of a Volterra integral inclusion involving the Henstock-Kurzweil-Pettis integral. Since this kind of integral is more general than the Bochner, Pettis and Henstock integrals, our result extends many of the results previously obtained in the single-valued setting or in the set-valued case.

Differential inclusions and multivalued integrals

51%

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

2 Discussiones Mathematicae, Differential Inclusions, Control and Optimization

2 Satco B.

1 Cichoń K.

1 Cichoń M.

1 2013

1 2006

Wyniki wyszukiwania

Volterra integral inclusions via Henstock-Kurzweil-Pettis integral

Differential inclusions and multivalued integrals