Noether theorem of a kind of singular integral equation with Hilbert kernel on open arcs

DOI

10.2991/icsem.2013.90How to use a DOI?

Keywords

Hilbert kernel, singular integral equation, general solutions, solvable conditions

Abstract

We discussed a kind of singular integral equation with Hilbert kernel on open arcs lying in a period strip. By using the method of complex functions, we obtained the extended Plemelj Formula with Hilbert kernel, and based on this, we obtained the general solutions and the solvable conditions for this kind of characteristic singular integral equation with Hilbert kernel on open arcs.

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  - 2013/04
DA  - 2013/04
TI  - Noether theorem of a kind of singular integral equation with Hilbert kernel on open arcs
BT  - Proceedings of the 2nd International Conference On Systems Engineering and Modeling (ICSEM 2013)
PB  - Atlantis Press
SP  - 465
EP  - 468
SN  - 1951-6851
UR  - https://doi.org/10.2991/icsem.2013.90
DO  - 10.2991/icsem.2013.90
ID  - Cao2013/04
ER  -