Examples of non-uniqueness of the solution to the Volterra integral equation of the first kind
Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 2 (2012), pp. 13-22
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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.
@article{VTGU_2012_2_a1,
author = {N. V. Komissarova and O. N. Chashchin},
title = {Examples of non-uniqueness of the solution to the {Volterra} integral equation of the first kind},
journal = {Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika},
pages = {13--22},
publisher = {mathdoc},
number = {2},
year = {2012},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VTGU_2012_2_a1/}
}
TY - JOUR AU - N. V. Komissarova AU - O. N. Chashchin TI - Examples of non-uniqueness of the solution to the Volterra integral equation of the first kind JO - Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika PY - 2012 SP - 13 EP - 22 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/VTGU_2012_2_a1/ LA - ru ID - VTGU_2012_2_a1 ER -
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N. V. Komissarova; O. N. Chashchin. Examples of non-uniqueness of the solution to the Volterra integral equation of the first kind. Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 2 (2012), pp. 13-22. http://geodesic.mathdoc.fr/item/VTGU_2012_2_a1/