Abstract
In this work, we establish sufficient conditions for the existence of nonnegative solutions for a class of first order impulsive difference equations with a family of nonlinear boundary conditions. To prove our main result we use a new topological approach on the fixed point index theory for the sum of two operators in Banach spaces. An example is given to illustrate the main result.
Funder
Direction Générale de la Recherche Scientifique et du Développement Technologique
Publisher
Sociedade Paranaense de Matemática
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