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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## Abstract

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 |
---|---|

Publication: | Journal of Mathematical Analysis and Applications |

Publisher: | Elsevier Scince |

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 |

URI: | http://eprints.iisc.ac.in/id/eprint/22969 |

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