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Solutions of a system of integral equations in orlicz spaces
(Rocky Mountain Mathematics Consortium, 2009-12-01)
We consider the following system of integral equations
u(i)(t) = integral(1)(0) g(i)(t, s)f(i) (s, u(1)(s), u(2)(s),...,u(n)(s)) ds,
a.e. t is an element of [0,1]. 1 <= i <= n.
Our aim is to establish criteria ...
Existence and quasilinearization in banach spaces
(Elsevier BV, 2009-10-01)