Riemann–Hilbert Problems on a Cut Plane
Journal Article
·
· Journal of Mathematical Sciences
We consider the Riemann–Hilbert-type boundary-value problems in the case of several unknown functions and obtain solvability conditions and index formulas for the linear conjugation problem, the Riemann–Hilbert problem, and the Riemann–Hilbert–Poincaré problem on a plane cut along several regular arcs in various weighted functional classes. We also examine the general differential boundary-value problem for analytic functions and boundary-value problems with shifts and complex conjugation on a cut plane.
- OSTI ID:
- 22773672
- Journal Information:
- Journal of Mathematical Sciences, Journal Name: Journal of Mathematical Sciences Journal Issue: 5 Vol. 235; ISSN JMTSEW; ISSN 1072-3374
- Country of Publication:
- United States
- Language:
- English
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