Existence of solutions for boundary value problems for first order impulsive difference equations
Resumen
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.
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Derechos de autor 2024 Boletim da Sociedade Paranaense de Matemática
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