Linear Fredholm integral equations and the integral of Kurzweil

• Autorzy: Federson M. , Bianconi R.
• Języki publikacji: EN

Abstrakty

EN

We apply the Kurzweil-Henstock integral setting to prove a Predholm Alternative-type result for the integral equation x(t)-K ∫[a,b] α(t,s) x (s)ds = f (t), t∈[a,b], J[a,b) where x and f are Kurzweil integrable functions (possibly highly oscillating) defined on a compact interval [a, b] of the real line with values on Banach spaces. An application is given.

Słowa kluczowe

EN

linear integral equations; Fredholm alternative; Kurzweil-Henstock integrals

PL

liniowe równania całkowe; alternatywa Fredholma; całki Henstocka-Kurzweila

• Wydawca: De Gruyter
• Czasopismo: Journal of Applied Analysis
• Rocznik: 2002
• Tom: Vol. 8, nr 1
• Strony: 83--110
• Opis fizyczny: Bibliogr. 31 poz.

Twórcy

autor

Federson M.

• Instituto De Ciencias Matematicas E De Computaçao Universidade De Sao Paulo CP 688, Sao Carlos SP 13560-970, Brazil

autor

Bianconi R.

• Instituto de Matemâtica e Estatstica, Universidade de Sâo Paulo, CP 688, São Carlos SP 13560-970, Brazil

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