Existence of multiple positive solutions for nonlinear m-point boundary-value problems

Authors:
Chuan-zhi Bai;Jin-xuan Fang
Affiliations:
Department of Mathematics, Nanjing Normal University, Nanjing, Jiangsu 210097, People's Republic of China and Department of Mathematics, Huaiyin Normal College, Huaiyin 223001, People's Republic o ...;Department of Mathematics, Nanjing Normal University, Nanjing, Jiangsu 210097, People's Republic of China
Venue:
Applied Mathematics and Computation
Year:
2003

Citing 2
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Abstract

In this paper, we afford some sufficient conditions to guarantee the existence of multiple positive solutions for the nonlinear m-point boundary-value problem for the one-dimensional p-Laplacian (φp(u'))' + f(t,u) = 0, t ∈ (0,1), u'(0) = Σi=1m-2biu'(ξi), u(1) = Σi=1m-2aiu(ξi).