Periodic Solutions for a Prescribed Mean Curvature Equation with Multiple Delays. (26th May 2014)

• Record Type: Journal Article
• Authors: Lu, Shiping; Lu, Ming
• Other Names: Fan Meng Academic Editor.
• Is Part Of: Journal of applied mathematics. Volume 2014(2014)
• Publication Date: 2014-05-26
• Subjects: Mathematics -- Periodicals; 519.05
• DOI: 10.1155/2014/909252
• Languages: English
• ISSNs: 1110-757X

Abstract

Abstract : We study the existence of periodic solutions for the one-dimensional prescribed mean curvature delay equation ( d / d t ) ( x ' ( t ) / 1 + x ' t 2 ) + ∑ i = 1 n a i t g x t - τ i t = p t . By using Mawhin's continuation theorem, a new result is obtained. Furthermore, the nonexistence of periodic solution for the equation is investigated as well.