A Fredholm-type theory for third-kind linear integral equations
Data(s) |
01/05/1984
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Resumo |
The third-kind linear integral equation Image where g(t) vanishes at a finite number of points in (a, b), is considered. In general, the Fredholm Alternative theory [[5.]] does not hold good for this type of integral equation. However, imposing certain conditions on g(t) and K(t, t′), the above integral equation was shown [[1.], 49–57] to obey a Fredholm-type theory, except for a certain class of kernels for which the question was left open. In this note a theory is presented for the equation under consideration with some additional assumptions on such kernels. |
Formato |
application/pdf |
Identificador |
http://eprints.iisc.ernet.in/22969/1/3.pdf Sukavanam, N (1984) A Fredholm-type theory for third-kind linear integral equations. In: Journal of Mathematical Analysis and Applications, 100 (2). pp. 478-485. |
Publicador |
Elsevier Scince |
Relação |
http://www.sciencedirect.com/science?_ob=ArticleURL&_udi=B6WK2-4CTN4M4-83&_user=512776&_rdoc=1&_fmt=&_orig=search&_sort=d&_docanchor=&view=c&_acct=C000025298&_version=1&_urlVersion=0&_userid=512776&md5=c364b41282c9858d523eff608f32a9e6 http://eprints.iisc.ernet.in/22969/ |
Palavras-Chave | #Mathematics |
Tipo |
Journal Article PeerReviewed |