The periodic differential equation (1 + E cos t)y"+ py = 0, hereby termed the ## Carson-Cambi equation, is the simplest second-order differential equation having a periodic coefficient associated with the second derivative. Provided (e( < 1, which is the case we examine, then the differential equat
A Quantitative Stability Analysis of the Solutions to the Carson-Cambi Equation
β Scribed by Pauli Pedersen
- Publisher
- Elsevier Science
- Year
- 1980
- Tongue
- English
- Weight
- 485 KB
- Volume
- 309
- Category
- Article
- ISSN
- 0016-0032
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β¦ Synopsis
A quantitative stability analysis of the Carson-Cambi equation [(l+ E cos t)(d'y/dt') + py = 0] is carried through, using a new, effective approach. The results are compared with a recent perturbation unalysis, and show that this should not be used for 1~1 BO.4. In the present analysis we go up to I&j= 0.8, and, in fact, with less effort than the perturbation analysis involves. Detailed stability diagrams are presented.
π SIMILAR VOLUMES
This paper presents a sufficient condition for the stability of periodic solutions of a newtonian equation. This condition depends on the third order approximation and does not involve small parameters. An application to an equation with cubic potential is given.