Under the influence of a sufficiently ''weak'' nonlinear source term, it is by now well known that a degenerate diffusion equation is globally solvable. A similar result is known when the nonlinear source is present as a forcing term at the boundary. Such results are usually established via comparis
Solvability of the Forced Duffing Equation at Resonance
β Scribed by Chun-Lei Tang
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 161 KB
- Volume
- 219
- Category
- Article
- ISSN
- 0022-247X
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β¦ Synopsis
Some existence theorems are obtained for periodic solutions of the forced Duffing equation at resonance by the minimax methods.
π SIMILAR VOLUMES
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.
This paper presents an analytical approach based on the power series method for determining the periodic solutions of the forced undamped Duffing's oscillator. The time variable is first transformed into a new harmonically oscillating time which transforms the governing differential equation into a