Periodic Solutions for a Class of n-th Order Functional Differential Equations. (10th October 2011)

• Record Type: Journal Article
• Authors: Song, Bing; Pan, Lijun; Cao, Jinde
• Other Names: Wang Peiguang Academic Editor.
• Is Part Of: International journal of differential equations. Volume 2011(2011)
• Publication Date: 2011-10-10
• Subjects: Differential equations -- Periodicals; Differential equations; Periodicals; 515.35
• DOI: 10.1155/2011/916279
• Languages: English
• ISSNs: 1687-9643

Abstract

Abstract : We study the existence of periodic solutions for n -th order functional differential equationsx ( n ) ( t ) = ∑ i = 0 n − 1 b i [ x ( i ) ( t ) ] k + f ( x ( t − τ ( t ) ) ) + p ( t ) . Some new results on the existence of periodic solutions of the equations are obtained. Our approach is based on the coincidence degree theory of Mawhin.