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Existence theorems for nonlinear operator equation \(Lu+Nu=f\) and some properties of the set of solutions. (English) Zbl 0744.34025
Author’s abstract: “We give an existence theorem and study the compactness and connectedness of the set of solutions to the operator equation \(Lu+Nu=f\). The linear operator \(L\) is not necessarily invertible and the nonlinear operator \(N\) is continuous and bounded. The proofs are based on a topological degree and Leray-Schauder techniques”.
Reviewer: J.F.Toland (Bath)
34B15 Nonlinear boundary value problems for ordinary differential equations
47J05 Equations involving nonlinear operators (general)
Full Text: EuDML
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