Existence of solutions of boundary value problems for differential equations with delayed arguments

Authors:
Tadeusz Jankowski
Affiliations:
Department of Differential Equations, Faculty of Applied Physics and Mathematics, Gdansk University of Technology, 11/12 G, Narutowicz Str., Gdansk 80-952, Poland
Venue:
Journal of Computational and Applied Mathematics
Year:
2003

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Abstract

We study the existence and approximation of solution of boundary value problems for differential equations with delayed arguments. Sufficient conditions are established for the existence of a unique solution or extremal ones of the given problem. A monotone iterative technique is applied.