Exact multiplicity for periodic solutions of Duffing type
โ 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
No coin nor oath required. For personal study only.
โฆ 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.
๐ SIMILAR VOLUMES
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