Erratum to “On the existence of periodic solutions for a class of generalized forced Liénard equations” [Appl. Math. Lett. 20 (3) (2007) 248–254]
✍ Scribed by M.R. Pournaki; A. Razani
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 117 KB
- Volume
- 21
- Category
- Article
- ISSN
- 0893-9659
No coin nor oath required. For personal study only.
✦ Synopsis
of the Main Theorem. On pages 1 and 2 "T -periodic real function" should read "real function". Also the statement of the Main Theorem should read as follows:
Main Theorem. Suppose f, k, and g are real functions on R which are locally Lipschitz and p is a nonconstant, continuous, real function on [0, T ], T > 0. Also suppose all solutions of the initial value problem (1.1) can be extended to [0, T ]. If there exist real numbers a 1 and a 2 for which g(a 1 ) ≤ p(t) ≤ g(a 2 ) holds for each 0 ≤ t ≤ T , then there exists T 0 , 0 < T 0 < T , such that if p is T 0 -periodic, Eq. (1.1) has at least one T 0 -periodic solution.