Kun Wang, Zhilin Yang
Abstract:
In this article we study the existence of positive
solutions for the system of higher order boundary-value problems
involving all derivatives of odd orders
Here
.
Our hypotheses imposed on the nonlinearities
and
are
formulated in terms of two linear functions
and
.
We use fixed point index theory to establish our main results based
on a priori estimates of positive solutions achieved by utilizing
nonnegative matrices.
Submitted October 24, 2011. Published March 30, 2012.
Math Subject Classifications: 34B18, 45G15, 45M20, 47H07, 47H11.
Key Words: Systenm of higher order boundary value problem; positive solution;
nonnegative matrix; fixed point index.
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Kun Wang Department of Mathematics Qingdao Technological University Qingdao, 266033, China email: wangkun880304@163.com | |
Zhilin Yang Department of Mathematics Qingdao Technological University Qingdao, 266033, China email: zhilinyang@sina.com |
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