Yujun Cui, Yumei Zou
Abstract:
This article concerns the fourth-order boundary-value problem
in a Banach space. We present some spectral conditions, on the
nonlinearity
,
to guarantee the existence and uniqueness
of solutions. Our method is different from the one used in the
references, even the above problem in a scalar space.
Submitted March 14, 2008. Published February 19, 2009.
Math Subject Classifications: 47H10.
Key Words: Spectral conditions; Monch fixed-point theorem.
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Yujun Cui Institute of Mathematics Shandong University of Science and Technology Qingdao 266510, China email: cyj720201@163.com, sdcyj72@163.com | |
Yumei Zou Institute of Mathematics Shandong University of Science and Technology Qingdao 266510, China email: sdzouym@126.com |
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