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J. Korean Math. Soc. 2010; 47(3): 573-583
Printed May 1, 2010
https://doi.org/10.4134/JKMS.2010.47.3.573
Copyright © The Korean Mathematical Society.
Anti-periodic solutions for higher-order nonlinear ordinary differential equations
Tai Yong Chen, Wen Bin Liu, Jian Jun Zhang, and Hui Xing Zhang
China University of Mining and Technology, China University of Mining and Technology, China University of Mining and Technology, and China University of Mining and Technology
In this paper, the existence of anti-periodic solutions for higher-order nonlinear ordinary differential equations is studied by using degree theory and some known results are improved to some extent.
Keywords: higher-order differential equation, anti-periodic solution, Leray-Schauder principle
MSC numbers: 34B15, 34C25
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