Hujun Yang, Xiaoling Han
Abstract:
In this article we study the existence and multiplicity of positive periodic
solutions for two classes of non-autonomous fourth-order nonlinear ordinary
differential equations
where
is a positive integer,
, and a(x),b(x) are
continuous positive T-periodic functions. These equations include
particular cases of the extended Fisher-Kolmogorov equations and
the Swift-Hohenberg equations. By using Mawhin's continuation
theorem, we obtain two multiplicity results these equations.
Submitted October 17, 2019. Published November 14, 2019.
Math Subject Classifications: 34C25, 34G20, 35A01.
Key Words: Fourth-order nonlinear differential equations; multiplicity;
positive periodic solutions; Mawhin's continuation theorem.
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Hujun Yang School of Mathematics and Statistics Northwest Normal University Lanzhou, 730070, China email: 982047468@qq.com |
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Xiaoling Han School of Mathematics and Statistics Northwest Normal University Lanzhou, 730070, China email: hanxiaoling@nwnu.edu.cn |
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