Nonlocal Boundary-Value Problem for a Differential-Operator Equation with Weak Nonlinearity in the Spaces of Dirichlet–Taylor Series with Fixed Spectrum
- 作者: Il’kiv V.1, Strap N.1
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隶属关系:
- “L’vivs’ka Politekhnika” National University
- 期: 卷 231, 编号 4 (2018)
- 页面: 572-585
- 栏目: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/241186
- DOI: https://doi.org/10.1007/s10958-018-3835-8
- ID: 241186
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详细
We study the nonlocal boundary-value problem for a differential-operator equation with nonlinear right-hand side and an operator B = (B1,…Bp), where its components Bj ≡ zj∂/∂zj, j = 1,…,p, are the operators of generalized differentiation with respect to the complex variable zj. By using the Nash–Moser iterative scheme, we establish the conditions of solvability of this problem in the scale of spaces of functions of several complex variables, which are Dirichlet–Taylor series with fixed spectrum.
作者简介
V. Il’kiv
“L’vivs’ka Politekhnika” National University
Email: Jade.Santos@springer.com
乌克兰, Lviv
N. Strap
“L’vivs’ka Politekhnika” National University
Email: Jade.Santos@springer.com
乌克兰, Lviv