Generalized Solutions of Volterra Integral Equations of the First Kind
Bulletin of the Malaysian Mathematical Society, Tome 29 (2006) no. 2
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Volterra integral equations of the first kind are studied in terms of generalized functions. The solutions consist of singular and regular components which can be constructed separately. The singular component is constructed as solution of the special linear algebraic system. The regular component is constructed as solution of the special Volterra integral equation of the third kind.
Classification :
45D05, 46F99.
@article{BMMS_2006_29_2_a0,
author = {N.A. Sidorov and M.V. Falaleev and D.N. Sidorov},
title = {Generalized {Solutions} of {Volterra} {Integral} {Equations} of the {First} {Kind}},
journal = {Bulletin of the Malaysian Mathematical Society},
year = {2006},
volume = {29},
number = {2},
url = {http://geodesic.mathdoc.fr/item/BMMS_2006_29_2_a0/}
}
TY - JOUR AU - N.A. Sidorov AU - M.V. Falaleev AU - D.N. Sidorov TI - Generalized Solutions of Volterra Integral Equations of the First Kind JO - Bulletin of the Malaysian Mathematical Society PY - 2006 VL - 29 IS - 2 UR - http://geodesic.mathdoc.fr/item/BMMS_2006_29_2_a0/ ID - BMMS_2006_29_2_a0 ER -
N.A. Sidorov; M.V. Falaleev; D.N. Sidorov. Generalized Solutions of Volterra Integral Equations of the First Kind. Bulletin of the Malaysian Mathematical Society, Tome 29 (2006) no. 2. http://geodesic.mathdoc.fr/item/BMMS_2006_29_2_a0/