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.
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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.
|Item Type:||Journal Article|
|Additional Information:||Copyright for this article belongs to Elsevier Science.|
|Department/Centre:||Division of Physical & Mathematical Sciences > Mathematics|
|Date Deposited:||01 Feb 2010 11:06|
|Last Modified:||19 Sep 2010 05:44|
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