Existence of solutions of boundary value problems for differential equations in which deviated arguments depend on the unknown solution

Authors:
Tadeusz Jankowski
Affiliations:
Gdansk University of Technology, Department of Differential Equations, 11/12 G.Narutowicz Str., 80-952 Gdańsk, Poland
Venue:
Computers & Mathematics with Applications
Year:
2007

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Abstract

This paper concerns differential equations with boundary conditions. Given are sufficient conditions under which such problems with deviated arguments have a unique solution in a corresponding sector. To obtain existence results we apply a monotone iterative method.