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A second-order boundary value problem with impulsive effects on an unbounded domain
Authors:Eric R. Kaufmann  Nickolai Kosmatov  Youssef N. Raffoul
Affiliation:1. Department of Mathematics & Statistics, University of Arkansas at Little Rock, Little Rock, AR 72204, USA;2. Department of Mathematics, University of Dayton, Dayton, OH 45469-2316, USA
Abstract:We study a second-order nonlinear differential equation on an unbounded domain with solutions subject to impulsive conditions and the Sturm–Liouville type boundary conditions. The existence results are obtained via applications of Krasnosel’ski?’s fixed point theorem for the sum of a completely continuous operator and a contraction.
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