## Existence and multiplicity of non-negative solutions for systems of perturbed Hammerstein integral equations.(English)Zbl 1169.45001

The authors study the existence of positive solutions for a system of perturbed Hammerstein integral equations. The technique is quite general and covers a wide class of systems of boundary value problems. The main ingredient of this work is the classical fixed point index theory for compact maps. Under some assumptions, existence of positive solutions is proved.

### MSC:

 45G15 Systems of nonlinear integral equations 34B10 Nonlocal and multipoint boundary value problems for ordinary differential equations 47H10 Fixed-point theorems 47H30 Particular nonlinear operators (superposition, Hammerstein, Nemytskiĭ, Uryson, etc.) 45M20 Positive solutions of integral equations
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