Positive solutions for nonlinear semipositone th-order boundary value problems.
Xie, Dapeng, Bai, Chuanzhi, Liu, Yang, Wang, Chunli (2008)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Xie, Dapeng, Bai, Chuanzhi, Liu, Yang, Wang, Chunli (2008)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Yang, Bo (2009)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Liu, Xiu-jun, Jiang, Wei-hua, Guo, Yan-ping (2004)
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He, Xiaoming, Ge, Weigao (2003)
Portugaliae Mathematica. Nova Série
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Lin, Yuguo, Pei, Minghe (2007)
Boundary Value Problems [electronic only]
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Xie, Dapeng, Bai, Chuanzhi, Liu, Yang, Wang, Chunli (2008)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Hakl, Robert (2005)
Boundary Value Problems [electronic only]
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Li, Yaohong, Wei, Zhongli (2010)
Boundary Value Problems [electronic only]
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Liu, Xiping, Xiao, Yu, Chen, Jianming (2010)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Irena Rachůnková, Svatoslav Staněk (2013)
Open Mathematics
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The paper investigates the structure and properties of the set S of all positive solutions to the singular Dirichlet boundary value problem u″(t) + au′(t)/t − au(t)/t 2 = f(t, u(t),u′(t)), u(0) = 0, u(T) = 0. Here a ∈ (−∞,−1) and f satisfies the local Carathéodory conditions on [0,T]×D, where D = [0,∞)×ℝ. It is shown that S c = {u ∈ S: u′(T) = −c} is nonempty and compact for each c ≥ 0 and S = ∪c≥0 S c. The uniqueness of the problem is discussed. Having a special case of the problem,...
Guo, Yingxin (2009)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Lee, Eun Kyoung, Lee, Yong-Hoon (2011)
Boundary Value Problems [electronic only]
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