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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)

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