Engibaryan, N. B.; Khachatryan, A. Kh. Some convolution-type integral equations in kinetic theory. (English. Russian original) Zbl 0949.45004 Comput. Math. Math. Phys. 38, No. 3, 452-467 (1998); translation from Zh. Vychisl. Mat. Mat. Fiz. 38, No. 3, 466-482 (1998). The conservative Wiener-Hopf integral equation, whose kernel is an even function that is a superposition of exponential functions, is considered. A generalization of this equation is analyzed. It is proved that the limits of the solutions to these equations as \(x\) approaches \(+\infty\) exist. These limits are evaluated in terms of the Ambartsumyan function. The results are applied to problems in the kinetic theory of gases and radiative transfer theory. Reviewer: Alexey Tret’yakov (Siedlce) Cited in 1 ReviewCited in 2 Documents MSC: 45E10 Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) 82C40 Kinetic theory of gases in time-dependent statistical mechanics 85A25 Radiative transfer in astronomy and astrophysics Keywords:convolution-type integral equations; conservative Wiener-Hopf integral equation; Ambartsumyan function; kinetic theory of gases; radiative transfer PDFBibTeX XMLCite \textit{N. B. Engibaryan} and \textit{A. Kh. Khachatryan}, Comput. Math. Math. Phys. 38, No. 3, 1 (1998; Zbl 0949.45004); translation from Zh. Vychisl. Mat. Mat. Fiz. 38, No. 3, 466--482 (1998)