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 \
Periodic Solutions of Complex-Valued Differential Equations and Systems with Periodic Coefficients
✍ Scribed by Raul Manásevich; Jean Mawhin; Fabio Zanolin
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 760 KB
- Volume
- 126
- Category
- Article
- ISSN
- 0022-0396
No coin nor oath required. For personal study only.
✦ Synopsis
tion theorems of the Leray Schauder type (see [6,9]). The aim of the present paper is to show that the same methodology can be adapted to prove the existence of periodic solutions for more general classes of equations and systems.
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