The existence theory for the differential equation xm(t)=f(t,x) in Banach spaces and Henstock-Kurzweil integral

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

Abstrakty

EN

Using the properties of the Henstock–Kurzweil integral and corresponding theorems, we prove the existence theorem for the equation x(m)(t) = f(t, x) in a Banach space, where f is HL integrable and satis.es certain conditions. Our fundamental tool is the measure of noncompactness developed by Kuratowski and Hausdorff.

Słowa kluczowe

EN

existence theorem; Cauchy problem; integrals; Henstock-Kurzweil integral

PL

twierdzenie o istnieniu; zagadnienie Cauchy'ego; całki; całka Henstocka-Kurzweila

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2007
• Tom: Vol. 40, nr 1
• Strony: 115--124
• Opis fizyczny: Bibliogr. 16 poz.

Twórcy

autor

Sikorska-Nowak A.

• Faculty of Mathematics and Computer Science Adam Mickiewicz University Umultowska 87 61-614 Poznań, Poland,

Bibliografia

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