Anti-periodic solutions for a class of nonlinear nth-order differential equations with delays

作者：Fan, Qiyi; Wang, Wentao; Yi, Xuejun^*

来源：Journal of Computational and Applied Mathematics, 2009, 230(2): 762-769.

DOI：10.1016/j.cam.2009.01.005

• nth-order differential equations
• Delays
• Anti-periodic solution
• Existence and uniqueness
• Leray-Schauder degree

in this paper, we use the Leray-Schauder degree theory to establish new results on the existence and uniqueness of anti-periodic solutions for a class of nonlinear nth-order differential equations with delays of the form
x((n)) (t) f (t, x((n-1)) (t)) g (t, x(t - tau (t))) = e(t).

• 出版日期2009-8-15
• 单位嘉兴学院; 湖南大学