Email this article Nonlocal Boundary-Value Problem for a Differential-Operator Equation with Weak Nonlinearity in the Spaces of Dirichlet–Taylor Series with Fixed Spectrum
- Authors: Il’kiv V.S.1, Strap N.I.1
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Affiliations:
- “L’vivs’ka Politekhnika” National University
- Issue: Vol 231, No 4 (2018)
- Pages: 572-585
- Section: 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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Abstract
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.
About the authors
V. S. Il’kiv
“L’vivs’ka Politekhnika” National University
Email: Jade.Santos@springer.com
Ukraine, Lviv
N. I. Strap
“L’vivs’ka Politekhnika” National University
Email: Jade.Santos@springer.com
Ukraine, Lviv
