Derivation of the solution of a simple hypersingular integral equation
作者:
A. Chakrabarti,
B. N. Mandal,
期刊:
International Journal of Mathematical Education in Science and Technology
(Taylor Available online 1998)
卷期:
Volume 29,
issue 1
页码: 47-53
ISSN:0020-739X
年代: 1998
DOI:10.1080/0020739980290105
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
Three straightforward methods of solution of a simple hypersingular integral equation are presented. While two of the methods, presented here, rely on the inversion of Cauchy‐type singular integral operators, the third method uses the inversion of a simple Abel's operator with a weak singularity. All the three methods lead to the known form of the solution of the hypersingular integral equation considered.
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