Erratum to: Positive solution of singular boundary value problem for nonlinear fractional differential equation with nonlinearity that changes sign

Erratum to: Positive solution of singular boundary value problem for nonlinear fractional... Positivity (2012) 16:195 DOI 10.1007/s11117-011-0123-y Positivity ERRATUM Erratum to: Positive solution of singular boundary value problem for nonlinear fractional differential equation with nonlinearity that changes sign Shuqin Zhang Published online: 10 May 2011 © Springer Basel AG 2011 Erratum to: Positivity DOI 10.1007/s11117-010-0110-8 Taking a unsuitable cone K , we have made some mistakes in proof of Lemma 3.1. Here, we must substitute cone K with K ={u(t ) ∈ C [0, 1]: u(t ) ≥ 0, 0 ≤ t ≤ 1}, and substitute (r ) with (r ) ={v ∈ K :v < r, min v(t)> v}, r > 0, γ ≤t ≤δ η = min ρ(s). Hence, in assumption condition ( H ), we may delete the assump- γ ≤s≤δ 1 δ 2 tions on γ, δ (0 <γ ≤ min{ , 2δ − 1}, ≤ δ< 1, where γ, δ are the constants in 2 3 (2) of Lemma 2.6). All the assertions are valid with these corrections. The online version of the original article can be found under doi:10.1007/s11117-010-0110-8. S. Zhang (B) Department of Mathematics, China University of Mining and Technology, Beijing 100083, China e-mail: zsqjk@163.com http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Positivity Springer Journals

Erratum to: Positive solution of singular boundary value problem for nonlinear fractional differential equation with nonlinearity that changes sign

Positivity , Volume 16 (1) – May 10, 2011
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Publisher
Springer Journals
Copyright
Copyright © 2011 by Springer Basel AG
Subject
Mathematics; Potential Theory; Operator Theory; Fourier Analysis; Econometrics; Calculus of Variations and Optimal Control; Optimization
ISSN
1385-1292
eISSN
1572-9281
D.O.I.
10.1007/s11117-011-0123-y
Publisher site
See Article on Publisher Site

Abstract

Positivity (2012) 16:195 DOI 10.1007/s11117-011-0123-y Positivity ERRATUM Erratum to: Positive solution of singular boundary value problem for nonlinear fractional differential equation with nonlinearity that changes sign Shuqin Zhang Published online: 10 May 2011 © Springer Basel AG 2011 Erratum to: Positivity DOI 10.1007/s11117-010-0110-8 Taking a unsuitable cone K , we have made some mistakes in proof of Lemma 3.1. Here, we must substitute cone K with K ={u(t ) ∈ C [0, 1]: u(t ) ≥ 0, 0 ≤ t ≤ 1}, and substitute (r ) with (r ) ={v ∈ K :v < r, min v(t)> v}, r > 0, γ ≤t ≤δ η = min ρ(s). Hence, in assumption condition ( H ), we may delete the assump- γ ≤s≤δ 1 δ 2 tions on γ, δ (0 <γ ≤ min{ , 2δ − 1}, ≤ δ< 1, where γ, δ are the constants in 2 3 (2) of Lemma 2.6). All the assertions are valid with these corrections. The online version of the original article can be found under doi:10.1007/s11117-010-0110-8. S. Zhang (B) Department of Mathematics, China University of Mining and Technology, Beijing 100083, China e-mail: zsqjk@163.com

Journal

PositivitySpringer Journals

Published: May 10, 2011

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