SpringerOpen Newsletter

Receive periodic news and updates relating to SpringerOpen.

Open Access Research

Fredholm-type theorem for boundary value problems for systems of nonlinear functional differential equations

Robert Hakl1* and Manuel Zamora2

Author Affiliations

1 Institute of Mathematics, Academy of Sciences of the Czech Republic, branch in Brno, Žižkova 22, Brno, 61662, Czech Republic

2 Departamento de Matemática, Facultad de Ciencias, Universidad del Bío-Bío, Casilla 5-C, Concepción, 4051381, Chile

For all author emails, please log on.

Boundary Value Problems 2014, 2014:113  doi:10.1186/1687-2770-2014-113


Dedicated to Professor Ivan Kiguradze.

Published: 13 May 2014

Abstract

A Fredholm-type theorem for boundary value problems for systems of nonlinear functional differential equations is established. The theorem generalizes results known for the systems with linear or homogeneous operators to the case of systems with positively homogeneous operators.

MSC: 34K10.

Keywords:
functional-differential equations; boundary value problems; existence of solutions