Retarded functional differential equations in Banach spaces and Henstock-Kurzweil integrals

• Autorzy: Sikorska-Nowak, A.
• Języki publikacji: EN

Abstrakty

EN

In this paper, using properties of the Henstock-Kurzweil integral and corresponding theorems, we prove existence theorems for the equation x' = f(t,xt) and inclusion x' F(t,xt) in a Banach space where f is Henstock-Kurzweil integrable and satisfies some additional conditions.

Słowa kluczowe

EN

Cauchy problem; existence of solution; Henstock-Kurzweil integral

• Czasopismo: Demonstratio Mathematica
• Rocznik: 2002
• Tom: Vol. 35, nr 1
• Strony: 49-60
• Opis fizyczny: Bibliogr. 24 poz.

Twórcy

autor

Sikorska-Nowak, A.

• Faculty of Mathematics and Computer Science, Adam Mickiewicz University, ul. Matejki 48/49, 60-769 Poznań, Poland,

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