N. V. Komissarova, O. N. Chashchin, “Examples of non-uniqueness of the solution to the Volterra integral equation of the first kind”, Vestn. Tomsk. Gos. Univ. Mat. Mekh., 2012, Number 2(18),Pages <nobr>13

MATHEMATICS

Examples of non-uniqueness of the solution to the Volterra integral equation of the first kind

N. V. Komissarova^a, O. N. Chashchin^b

^a Siberian State Academy of Geodesy
^b Siberian University of Consumer Co-operatives

Abstract: Examples of nonuniqueness of solutions to Volterra linear integral equation of the first kind are presented. The constructed examples demonstrate that the necessary conditions for uniqueness of the solution to equation of the first kind can not be weakened.

Keywords: integral equation, Volterra equation of the first kind, uniqueness of solution, modulus of continuity.

UDC: 517.98+519.677

Received: 30.09.2011