Wei Han, Yonggui Kao
Abstract:
In this paper, we study a nonlinear higher-order three-point
eigenvalue problems with first-order derivative on time scales.
Under certain growth conditions on the nonlinearity, sufficient
conditions for existence and uniqueness of nontrivial solutions,
which are easily verifiable, are obtained by using the
Leray-Schauder nonlinear alternative.
The conditions used in the paper are different from those
in [4, 10, 21]. To show applications of our main results,
we present some examples.
Submitted November 6, 2007. Published April 17, 2008.
Math Subject Classifications: 39A10, 34B15, 34B18.
Key Words: Time scale; nontrivial solutions; eigenvalue problem;
fixed point theorem; Leray-Schauder nonlinear alternative.
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Wei Han Department of Mathematics, North University of China Taiyuan Shanxi, 030051, China email: qd_hanweiwei1@126.com | |
Yonggui Kao Department of Mathematics, Harbin Institute of Technology Weihai Shandong 264209, China email: kaoyonggui@sina.com |
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