Fuyi Xu, Zhenbo Chen, Feng Xu
Abstract:
In this paper, we study the nonlinear second-order m-point
boundary value problem
where the nonlinear term
is allowed to change sign.
We impose growth conditions on
which yield the existence of at
least two positive solutions by using a fixed-point theorem
in double cones. Moreover, the associated Green's function for
the above problem is given.
Submitted December 27, 2007. Published March 29, 2008.
Math Subject Classifications: 34B15.
Key Words: m-point; boundary-value problem; Green's function;
fixed point theorem in double cones.
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Fuyi Xu School of Mathematics and Information Science Shandong University of Technology Zibo, Shandong, 255049, China email: zbxufuyi@163.com |
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Zhenbo Chen School of Mathematics and Information Science Shandong University of Technology Zibo, Shandong, 255049, China email: czb56@sdut.edu.cn |
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Feng Xu School of Mathematics and Information Science Shandong University of Technology Zibo, Shandong, 255049, China email: zbxf878@126.com |
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