2nd International Conference On Systems Engineering and Modeling (ICSEM-13)

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

Authors
Li-xia Cao
Corresponding Author
Li-xia Cao
Available Online April 2013.
DOI
https://doi.org/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.
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Proceedings
2nd International Conference On Systems Engineering and Modeling (ICSEM-13)
Part of series
Advances in Intelligent Systems Research
Publication Date
April 2013
ISBN
978-94-91216-42-8
ISSN
1951-6851
DOI
https://doi.org/10.2991/icsem.2013.90How to use a DOI?
Open Access
This is an open access article distributed under the CC BY-NC license.

Cite this article

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  - 2nd International Conference On Systems Engineering and Modeling (ICSEM-13)
PB  - Atlantis Press
SN  - 1951-6851
UR  - https://doi.org/10.2991/icsem.2013.90
DO  - https://doi.org/10.2991/icsem.2013.90
ID  - Cao2013/04
ER  -