Geodesic
A nonlinear integral equation of Hammerstein type with a noncompact operator
Sbornik. Mathematics, Tome 201 (2010) no. 4, pp. 595-606 Cet article a éte moissonné depuis la source Math-Net.Ru

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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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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/

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