Opuscula Mathematica
Opuscula Math. 31, no. 3 (2011), 393-398

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.
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About the authors ▼
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
About the article ▼
Received: 2010-05-06.
Revised: 2010-09-16.
Accepted: 2010-10-04.
Cite this article as ▼
A. Kh. Khachatryan, Kh. A. Khachatryan, Existence and uniqueness theorem for a Hammerstein nonlinear integral equation, Opuscula Math. 31, no. 3 (2011), 393-398, http://dx.doi.org/10.7494/OpMath.2011.31.3.393.
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