A pr/or/ bounds are established for periodic solutions of a Rayleigh equation with delay. By means of these bounds, an existence theorem for periodic solutions can be obtained by means of Mawhin's continuation theorem. (j~) 1999 Elsevier Science Ltd. All rights reserved.
A priori bounds for periodic solutions of a Duffing equation
โ Scribed by Xinmin Wu; Jingwen Li; Yong Zhou
- Book ID
- 107619678
- Publisher
- Springer-Verlag
- Year
- 2008
- Tongue
- English
- Weight
- 254 KB
- Volume
- 26
- Category
- Article
- ISSN
- 1598-5865
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
Schaefer's fixed-point theorem, enabling us to show that if there is an a priori bound on all possible T-periodic solutions of a Volterra-type difference equation, then there is a Tperiodic solution. The a priori bound is established by means of a Lyapunov functional on which no bound is required. T
This paper is devoted to the discussion of the number of T -periodic solutions for the forced Duffing equation, x + kx + g t x = s 1 + h t , with g t x being a continuous function by using the degree theory, upper and lower solutions method, and the twisting theorem.