Electron. J. Diff. Equ.,
Vol. 2011 (2011), No. 120, pp. 1-11.
Solvability of a second-order multi-point boundary-value
problems at resonance on a half-line with dim ker L=2
Weihua Jiang, Bin Wang, Zhenji Wang
Abstract:
We show the existence of solutions for a second-order multi-point
boundary-value problem at resonance on a half-line, where the
dimension of the kernel of the differential operator is 2.
Our main tools are the coincidence degree theory due to Mawhin,
suitable operators, and algebraic methods.
Our results are illustrated with an example.
Submitted June 30, 2011. Published September 19, 2011.
Math Subject Classifications: 34B10, 34B15.
Key Words: Resonance; Fredholm operator; multi-point boundary-value
problem; coincidence degree theory.
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Weihua Jiang
College of Sciences, Hebei University of Science and Technology
Shijiazhuang, 050018, Hebei, China
email: weihuajiang@hebust.edu.cn
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Bin Wang
Department of Basic Courses
Hebei Professional and Technological College of Chemical and
Pharmaceutical Engineering
Shijiazhuang, 050026, Hebei, China
email: wb@hebcpc.cn
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Zhenji Wang
Department of Basic Courses
Hebei Professional and Technological College of Chemical and
Pharmaceutical Engineering
Shijiazhuang, 050026, Hebei, China
email: wzj@hebcpc.cn
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