Geodesic
A~nonlinear integral equation of Hammerstein type with a~noncompact operator
Sbornik. Mathematics, Tome 201 (2010) no. 4, pp. 595-606

Voir la notice de l'article provenant de la source Math-Net.Ru

We consider a homogeneous nonlinear integral equation of Hammerstein type which has an important application in the kinetic theory of gases. We prove a positive solution of this equation exists and describe its asymptotic behaviour at infinity. Bibliography: 6 titles.
Keywords: integral equation of Hammerstein type, factorization of integral operators, convergence of iterations, pointwise limit, asymptotic behaviour of a solution. 
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     author = {A. Kh. Khachatryan and Kh. A. Khachatryan},
     title = {A~nonlinear integral equation of {Hammerstein} type with a~noncompact operator},
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A. Kh. Khachatryan; Kh. A. Khachatryan. A~nonlinear integral equation of Hammerstein type with a~noncompact operator. Sbornik. Mathematics, Tome 201 (2010) no. 4, pp. 595-606. http://geodesic.mathdoc.fr/item/SM_2010_201_4_a4/