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The Solvability of a Nonlocal Boundary Value Problem

  • Katarzyna Szymańska-Dȩbowska EMAIL logo
From the journal Mathematica Slovaca


In this paper we consider the following boundary value problem

where f : [0, 1]×ℝk×ℝk → ℝk and the integral is meant in the sense of Riemann- Stieltjes. We give conditions for the existence of a solution for this boundary value problem using the properties of the Leray-Schauder topological degree. Our result extends some results in the references


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Received: 2013-2-4
Accepted: 2013-2-26
Published Online: 2015-12-9
Published in Print: 2015-10-1

Mathematical Institute Slovak Academy of Sciences

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