Opuscula Math. 31, no. 3 (2011), 393-398
http://dx.doi.org/10.7494/OpMath.2011.31.3.393
Opuscula Mathematica
Existence and uniqueness theorem for a Hammerstein nonlinear integral equation
A. Kh. Khachatryan
Kh. A. Khachatryan
Abstract. The existence of a solution, as well as some properties of the obtained solution for a Hammerstein type nonlinear integral equation have been investigated. For a certain class of functions the uniqueness theorem has also been proved.
Keywords: iteration, Wiener-Hopf operator, pointwise convergence, Hammerstein type equation.
Mathematics Subject Classification: 45G05.
- A. Kh. Khachatryan
- National Academy of Sciences Republic of Armenia, Institute of Mathematics, Marshal Bagramyan str. 24b, 0019 Yerevan, Republic of Armenia
- Kh. A. Khachatryan
- National Academy of Sciences Republic of Armenia, Institute of Mathematics, Marshal Bagramyan str. 24b, 0019 Yerevan, Republic of Armenia
- Received: 2010-05-06.
- Revised: 2010-09-16.
- Accepted: 2010-10-04.
