On one Urysohn type nonlinear integral equation with noncompact operator
Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 3 (2010), pp. 23-28
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In the present paper the Urysohn type nonlinear integral equation with noncompact operator on the half-line is considered. It is assumed that the Wiener-Hopf-Hankel type operator is a local minorant for the initial Urysohn operator. The existence of a positive and bounded solution is proved. The limit of constructed solution at infinity is calculated. At the end of the work a list of examples is given.
Keywords:
nonlinearity, iterative methods, Urysohn operator, Caratheodory condition.
@article{UZERU_2010_3_a1,
author = {Kh. A. Khachatryan},
title = {On one {Urysohn} type nonlinear integral equation with noncompact operator},
journal = {Proceedings of the Yerevan State University. Physical and mathematical sciences},
pages = {23--28},
publisher = {mathdoc},
number = {3},
year = {2010},
language = {en},
url = {http://geodesic.mathdoc.fr/item/UZERU_2010_3_a1/}
}
TY - JOUR AU - Kh. A. Khachatryan TI - On one Urysohn type nonlinear integral equation with noncompact operator JO - Proceedings of the Yerevan State University. Physical and mathematical sciences PY - 2010 SP - 23 EP - 28 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/UZERU_2010_3_a1/ LA - en ID - UZERU_2010_3_a1 ER -
%0 Journal Article %A Kh. A. Khachatryan %T On one Urysohn type nonlinear integral equation with noncompact operator %J Proceedings of the Yerevan State University. Physical and mathematical sciences %D 2010 %P 23-28 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/item/UZERU_2010_3_a1/ %G en %F UZERU_2010_3_a1
Kh. A. Khachatryan. On one Urysohn type nonlinear integral equation with noncompact operator. Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 3 (2010), pp. 23-28. http://geodesic.mathdoc.fr/item/UZERU_2010_3_a1/