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On the existence of a solution for nonlinear operator equations in Fréchet spaces. (English) Zbl 0744.34022
Author’s abstract: “There is proved a theorem on the existence of a solution for operator equation \(Lx=Nx\) in Fréchet space in this paper, where \(L\) is a linear operator and \(N\) is generally nonlinear and also the existence of a continuous solution for a system of nonlinear differential equations with linear boundary conditions is proved”.
Reviewer: J.F.Toland (Bath)

34B15 Nonlinear boundary value problems for ordinary differential equations
47H10 Fixed-point theorems
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