𝔖 Bobbio Scriptorium
✦   LIBER   ✦

The Lower Bounds of T-Periodic Solutions for the Forced Duffing Equation

✍ Scribed by Chengwen Wang

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
98 KB
Volume
260
Category
Article
ISSN
0022-247X

No coin nor oath required. For personal study only.

✦ Synopsis

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.

πŸ“œ SIMILAR VOLUMES

Aubry-Mather theory and periodic solutio
Aubry-Mather theory and periodic solutions of the forced Burgers equation
✍ Weinan E πŸ“‚ Article πŸ“… 1999 πŸ› John Wiley and Sons 🌐 English βš– 377 KB πŸ‘ 2 views

Consider a Hamiltonian system with Hamiltonian of the form H(x, t, p) where H is convex in p and periodic in x, and t and x ∈ R 1 . It is well-known that its smooth invariant curves correspond to smooth Z 2 -periodic solutions of the PDE ut + H(x, t, u)x = 0 . In this paper, we establish a connecti