Abstract:
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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