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A Note on a Boundary Value Problem
Authors:Lian-Xi Ku
Institution:(1) Department of Mathematics, Huanggang Teacherrsquos College, Huanggang, Hubei, 438000, China
Abstract:In this note, we prove that, for Robinrsquos boundary value problem, a unique solution exists if fx(t, x, xprime), fxprime(t, x, xprime), agrrsquo(t), and beta(t) are continuous, and fx ge -beta(t), fxprime ge -agr(t), 4beta(t) le pgr2 + agr2(t) ++ 2agrprime(t), and 4beta(t) nequiv pgr2 + agr2(t) + 2agrprime(t).AMS Subject Classification (2000) 34B15
Keywords:boundary value problem  permanent positive solution
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