Devkin, V. I. Estimates of the solution of a boundary value problem for the transport equation and the method of successive approximation. (Russian) Zbl 0636.45016 Zh. Vychisl. Mat. Mat. Fiz. 27, No. 12, 1906-1907 (1987). An integro-partial differential equation arising in transport processes is studied. By employing the method of successive approximations, the author constructs a sequence of approximate boundary value problems, whose solutions are shown to converge to the solution of the original equation. Upper and lower estimates of the solution are also derived. Reviewer: S.Aizicovici Cited in 1 Review MSC: 45K05 Integro-partial differential equations 45L05 Theoretical approximation of solutions to integral equations 82C70 Transport processes in time-dependent statistical mechanics Keywords:convergence; transport processes; method of successive approximations; boundary value problems; Upper and lower estimates PDFBibTeX XMLCite \textit{V. I. Devkin}, Zh. Vychisl. Mat. Mat. Fiz. 27, No. 12, 1906--1907 (1987; Zbl 0636.45016)