We study the -point nonlinear boundary-value problem
where , for and , . We assume that is non-increasing continuously differentiable on and on . Using a cone-theoretic approach we provide sufficient conditions on continuous under which the problem admits a positive solution.
Submitted April 23, 2004. Published October 10, 2004.
Math Subject Classifications: 34B10, 34B18.
Key Words: Green's function; fixed point theorem; positive solutions; multi-point boundary-value problem.
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| Nickolai Kosmatov |
Department of Mathematics and Statistics
University of Arkansas at Little Rock
Little Rock, AR 72204-1099, USA
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