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Exact multiplicity for periodic solutions of Duffing type

โœ Scribed by Hongbin Chen; Yi Li; Xiaojie Hou


Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
128 KB
Volume
55
Category
Article
ISSN
0362-546X

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โœฆ Synopsis


In this paper, we study the following Du ng-type equation:

where g(t; x) is a 2 -periodic continuous function in t and concave-convex in x, and h(t) is a small continuous 2 -periodic function. The exact multiplicity and stability of periodic solutions are obtained.


๐Ÿ“œ SIMILAR VOLUMES


Problems of periodic solutions for a typ
โœ Bo Du; Chuanzhi Bai; Xiangkui Zhao ๐Ÿ“‚ Article ๐Ÿ“… 2010 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 416 KB

Sufficient criteria are established for the existence of periodic solutions to a type of Duffing equation with state-dependent delay, which improve and generalize some related results in the literature. The approach is based on Mawhin's continuation theorem. The significance of the present paper is