Yang, HujunHan, Xiaoling2021-12-062021-12-062019-11-14Yang, H., & Han, X. (2019). Existence and multiplicity of positive periodic solutions for fourth-order nonlinear differential equations. <i>Electronic Journal of Differential Equations, 2019</i>(119), pp. 1-14.1072-6691https://hdl.handle.net/10877/15013In this article we study the existence and multiplicity of positive periodic solutions for two classes of non-autonomous fourth-order nonlinear ordinary differential equations uiv - pu″ - α(x)un + b(x)un+2 = 0, uiv - pu″ + α(x)un - b(x)un+2 = 0 where n is a positive integer, p ≤ 1, and α(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.Text14 pages1 file (.pdf)enAttribution 4.0 InternationalFourth-order nonlinear differential equationsMultiplicityPositive periodic solutionsMawhin's continuation theoremArticle