The analytic structure of periodic solutions of a Lyapunov type matrix differential equation
β Scribed by V. N. Laptinskii; V. A. Livinskaya
- Book ID
- 110661900
- Publisher
- Springer
- Year
- 2000
- Tongue
- English
- Weight
- 191 KB
- Volume
- 36
- Category
- Article
- ISSN
- 0012-2661
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π SIMILAR VOLUMES
## Abstract We will find a positive constant Ξ£~2~ such that for any 2__Ο__ βperiodic function __h__ (__t__) with zero mean value, the quadratic Newtonian equation __x__ β³ + __x__^2^ = __Ο__ + __h__ (__t__) will have exactly two 2__Ο__ βperiodic solutions with one being unstable and another being tw
A new method of explicit direct solution for the Lyapunov matrix equation is proposed. Based on a fundamental property allowing the decomposition of any arbitrary matrix into symmetric and skew-symmetric parts, the Lyapunov matrix is expressed in a simple and compact form. In addition, a sign$cant r