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- W812323325 abstract "We employ the Galerkin method to solve the nonlinear Urysohn integral equation (1.1) x(t) = f(t) ＋ k(t, s, x(s))ds (t D), where D is a bounded domain in , the function f and k are known and x is the solution to be determined. We assume that D has a locally Lipschitz boundary ([1, p. 67]). We can rewrite (1.1) in operator notation as x = f ＋ Kx. We consider (1.1) as an operator equation on (D) and assume that K is defined on the closure of a bounded open set ⊂ (D). Throughout our analysis we put the following assumptions on (1.1).(omitted)(1.1).(omitted)" @default.
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- W812323325 date "1994-01-01" @default.
- W812323325 modified "2023-09-24" @default.
- W812323325 title "AN ERROR ANALYSIS OF THE DISCRETE GALERKIN SCHEME FOR NONLINEAR INTEGRAL EQUATIONS" @default.
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