Differential equations in banach space and henstock-kurzweil integrals

• Autorzy: Ireneusz Kubiaczyk , Aneta Sikorska
• Języki publikacji: EN

Abstrakty

EN

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

Słowa kluczowe

EN

Cauchy problem; existence of solution; Henstock-Kurzweil integral

Kategorie tematyczne

• 34A60: Differential inclusions
• 34G20: Nonlinear equations

• Wydawca: Faculty of Mathematics, Computer Science and Econometrics, University of Zielona Góra
• Czasopismo: Discussiones Mathematicae, Differential Inclusions, Control and Optimization
• Rocznik: 1999
• Tom: 19
• Numer: 1-2
• Strony: 35-43

Daty

wydano

1999

otrzymano

1999-04-21

Twórcy

autor

Ireneusz Kubiaczyk

• Faculty of Mathematics and Computer Science, Adam Mickiewicz University, Matejki 48/49, 60-769 Poznań, Poland
• Institute of Mathematics, Technical University, Podgórna 50, 65-246 Zielona Góra, Poland

autor

Aneta Sikorska

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

Bibliografia

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