Periodic solutions of the Riccati differential equation with periodic coefficients
β Scribed by Chen, Zong Xuan (author);Zhang, Ran Ran (author)
- Book ID
- 121424679
- Publisher
- Walter de Gruyter GmbH & Co. KG
- Year
- 2011
- Tongue
- English
- Weight
- 286 KB
- Volume
- 18
- Category
- Article
- ISSN
- 1072-947X
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π SIMILAR VOLUMES
In this paper, we investigate the existence, the number and the growth of periodic meromorphic solutions of the Riccati differential equation u 0 D A.z/ C u 2 , where A.z/ is a periodic function with period !. In addition, we give many examples to illustrate our results.
We consider the planar equation \(\dot{z}=\sum a_{k, l}(t) z^{k} \bar{z}^{l}\), where \(a_{k, l}\) is a \(T\)-periodic complex-valued continuous function, equal to 0 for almost all \(k, l \in \mathbb{N}\). We present sufficient conditions imposed on \(a_{k,}\), which guarantee the existence of its \