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Twin solutions to singular boundary value problems
Authors:Ravi P Agarwal  Donal O'Regan
Institution:Department of Mathematics, National University of Singapore, 10 Kent Ridge Crescent, Singapore 11926 ; Department of Mathematics, National University of Ireland, Galway, Ireland
Abstract:In this paper we establish the existence of two nonnegative solutions to singular $\,(n,p)\,$ and singular $\,(p,n-p)\,$ focal boundary value problems. Our nonlinearity $\,f(t,y)\,$ may be singular at $\,y=0$, $\,t=0\,$ and/or $\,t=1$.

Keywords:Multiple solutions  singular problems  Leray--Schauder alternative  Krasnoselskii's fixed point theorem  lower type inequalities
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