Noether theorem of a kind of singular integral equation with Hilbert kernel on closed contours

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/).

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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  -