
doi: 10.1515/jaa.2002.83
Fredholm integral equations of the second kind of vector-valued functions (in Banach spaces) with Kurzweil or Henstock integrals are considered. A Fredholm alternative is proved and a corresponding `adjoint' equation is obtained. The results are applied for boundary value problems on intervals.
Banach spaces, Henstock integral, boundary value problems, Fredholm integral equation, Kurzweil integral, Fredholm alternative, Abstract integral equations, integral equations in abstract spaces, Linear boundary value problems for ordinary differential equations, Fredholm integral equations, Denjoy and Perron integrals, other special integrals
Banach spaces, Henstock integral, boundary value problems, Fredholm integral equation, Kurzweil integral, Fredholm alternative, Abstract integral equations, integral equations in abstract spaces, Linear boundary value problems for ordinary differential equations, Fredholm integral equations, Denjoy and Perron integrals, other special integrals
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