scientific article; zbMATH DE number 789765

zbMATH Open0824.47049MaRDI QIDQ4846377

T. V. Savchenko, Peter P. Zabreĭko

Publication date: 28 August 1995

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

differential equationsimplicit function theorembounded solutionsbimetric spacesBanach-Cacciopolli contraction mapping principleBohl and Bogolyubov theoremsordinary quasilinear differential equation with a small parametersolvability of Hammerstein's integral equation

Mathematics Subject Classification ID

Other nonlinear integral equations (45G10) Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30) Fixed-point theorems (47H10) Averaging method for ordinary differential equations (34C29)

Related Items (2)

The Banach-Cacciopoli and Kantorovich principles for the Cauchy problem in theory of nonlinear systems with partial derivatives ⋮ An implicit function theorem for Banach spaces and some applications

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