ON ONE URYSOHN TYPE NONLINEAR INTEGRAL EQUATION WITH NONCOMPACT OPERATOR

Author(s)

ON ONE URYSOHN TYPE NONLINEAR INTEGRAL EQUATION WITH NONCOMPACT OPERATOR Kh. A. Khachatryan

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.

DOI: 10.46991/PYSUA.2010.44.3.023 Physical and Mathematical Sciences, 45(1 (224) 23-28

Download PDF

Keywords

nonlinearity, iterative methods, Urysohn operator, Caratheodory condition

Check for updates

Share

Contact admin with any questions, comments or concerns

[email protected]