Electron. J. Diff. Equ., Vol. 2015 (2015), No. 240, pp. 1-10.

Existence of solutions for four-point resonance boundary-value problems on time scales

Ning Wang, Hui Zhou, Liu Yang

Abstract:
By using Mawhin's continuation theorem, we prove the existence of solutions for a class of multi-point boundary-value problem under different resonance conditions on time scales.

Submitted March 6, 2015. Published September 21, 2015.
Math Subject Classifications: 34N05, 34B10.
Key Words: Boundary-value problem; time scale; coincidence degree.

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Ning Wang
College of Mathematics and Statistics, Institute of Applied Mathematics
Hefei Normal University, Hefei 230061, China
email: Ningw@hftc.edu.cn
Hui Zhou
College of Mathematics and Statistics, Institute of Applied Mathematics
Hefei Normal University, Hefei 230061, China
email: zhouhui0309@126.com
Liu Yang
College of Mathematics and Statistics, Institute of Applied Mathematics
Hefei Normal University, Hefei 230061, China
email: yliu722@163.com

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