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arxiv: 1304.0206 · v1 · pith:LGKARHXInew · submitted 2013-03-31 · 🧮 math.CA

Positive solutions of some nonlocal impulsive boundary value problem

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keywords boundaryconditionsimpulsivenonlocalpositivesolutionssomeaffine
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We prove new results on the existence of positive solutions for some impulsive differential equation subject to nonlocal boundary conditions. Our boundary conditions involve an affine functional given by a Stieltjes integral. These cover the well known multi-point boundary conditions that are studied by various authors.

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