Fredholm-type theorem for boundary value problems for systems of nonlinear functional differential equations
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
Boundary Value Problems 2014, 2014:113 doi:10.1186/1687-2770-2014-113
Dedicated to Professor Ivan Kiguradze.Published: 13 May 2014
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.