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arxiv: 1403.1092 · v1 · pith:XP7RLIQ5new · submitted 2014-03-05 · 🧮 math.CA

Nonnegative solutions for a system of impulsive BVPs with nonlinear nonlocal BCs

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keywords systemboundaryconditionsdifferentialimpulsivenonlinearnonlocalnonnegative
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We study the existence of nonnegative solutions for a system of impulsive differential equations subject to nonlinear, nonlocal boundary conditions. The system presents a coupling in the differential equation and in the boundary conditions. The main tool that we use is the theory of fixed point index for compact maps.

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