Noether theorem of a kind of singular integral equation with Hilbert kernel on closed contours
Authors
Li-xia Cao
Corresponding Author
Li-xia Cao
Available Online February 2013.
- DOI
- 10.2991/isccca.2013.76How to use a DOI?
- Keywords
- Hilbert kernel, singular integral equation, general solution, solvable conditions
- Abstract
We considered a kind of singular integral equation with Hilbert kernel on closed contours. By using the method of complex functions, we obtain the extended Plemelj Formula with Hilbert kernel, and based on this, we obtained the related conditions of solvability and the general solution for the characteristic singular integral equation with Hilbert kernel on closed contours.
- Copyright
- © 2013, the Authors. Published by Atlantis Press.
- Open Access
- This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).
Cite this article
TY - CONF AU - Li-xia Cao PY - 2013/02 DA - 2013/02 TI - Noether theorem of a kind of singular integral equation with Hilbert kernel on closed contours BT - Proceedings of the 2nd International Symposium on Computer, Communication, Control and Automation (ISCCCA 2013) PB - Atlantis Press SP - 312 EP - 314 SN - 1951-6851 UR - https://doi.org/10.2991/isccca.2013.76 DO - 10.2991/isccca.2013.76 ID - Cao2013/02 ER -