Vanishing and blow-up solutions to a class of nonlinear complex differential equations near the singular point
A singular nonlinear differential equation zσdwdz=aw+zwf(z,w),{z}^{\sigma }\frac{{\rm{d}}w}{{\rm{d}}z}=aw+zwf\left(z,w), where σ>1\sigma \gt 1, is considered in a neighbourhood of the point z=0z=0 located either in the complex plane C{\mathbb{C}} if σ\sigma is a natural number, in a Riemann surf...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2024-02-01
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| Series: | Advances in Nonlinear Analysis |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/anona-2023-0120 |