Existence and uniqueness theorem for a hammerstein nonlinear integral equation

• Autorzy: Khachatryan A. Kh. , Khachatryan Kh. A.
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

iteration; Wiener-Hopf operator; pointwise convergence; Hammerstein type; equation

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2011
• Tom: Vol. 31, no. 3
• Strony: 393--398
• Opis fizyczny: Bibliogr. 3 poz.

Twórcy

autor

Khachatryan A. Kh.

autor

Khachatryan Kh. A.

• National Academy of Sciences Republic of Armenia Institute of Mathematics Marshal Bagramyan str. 24b 0019 Yerevan, Republic of Armenia,

Bibliografia

• [1] L.G. Arabadjyan, N.B. Yengibaryan, Convolution equations and nonlinear functional equations, Itogi Nauki i Teckniki. Math. Analysis 4 (1984), 175–242 [in Russian].
• [2] A.N. Kolmogorov, V.C. Fomin, Elements of functions theory and functional analysis, Nauka, Moscow, 1981 [in Russian].
• [3] F. Spitzer, The Wiener-Hopf equation whose kernel is a probability density, DukeMath. J. 24 (1957) 3, 323–343.