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@article{THSP_2011_17_1_a12, author = {R. V. Shevchuk}, title = {Inhomogeneous diffusion processes on a half-line with jumps on its boundary}, journal = {Teori\^a slu\v{c}ajnyh processov}, pages = {119--129}, publisher = {mathdoc}, volume = {17}, number = {1}, year = {2011}, language = {en}, url = {http://geodesic.mathdoc.fr/item/THSP_2011_17_1_a12/} }
R. V. Shevchuk. Inhomogeneous diffusion processes on a half-line with jumps on its boundary. Teoriâ slučajnyh processov, Tome 17 (2011) no. 1, pp. 119-129. http://geodesic.mathdoc.fr/item/THSP_2011_17_1_a12/
[1] W. Feller, “Generalized second order differential operators and their lateral conditions”, Illinois J. Math., 1 (1957), 495–504
[2] A. D. Wentzel, “Semigroups of operators that correspond to a generalized differential operator of second order”, Dokl. AN SSSR, 111:2 (1956), 269–272
[3] O. A. Ladyzhenskaya, V. A. Solonnikov, N. N. Ural'tseva, Linear and Quasilinear Equations of Parabolic Type, Amer. Math. Soc., Providence, RI, 1968
[4] A. Friedman, Partial Differential Equations of Parabolic Type, Prentice-Hall, Englewood Cliffs, NJ, 1964
[5] P. P. Kononchuk, B. I. Kopytko, “About Feller semigroup that describes a diffusion process on a half-line with nonlocal boundary conditions”, Math. Bull., 4 (2007), 134–143
[6] A. L. Skubachevskii, “On Feller semigroups for multidimensional diffusion processes”, Dokl. AN, 341:2 (1995), 173–-176
[7] S. V. Anulova, “On stochastic differential equations with boundary conditions in a half-plane”, Izv. AN SSSR. Ser. Mat., 45:3 (1981), 491-–508
[8] S. V. Anulova, “On processes with Lévy generating operator in a half-space”, Izv. AN SSSR. Ser. Mat., 42:4 (1978), 708-–750
[9] M. I. Portenko, Diffusion Processes in Media with Membranes, Institute of Mathematics of the NAS of Ukraine, Kyiv, 1995 (in Ukrainian)
[10] E. B. Dynkin, Markov Processes, Plenum, New York, 1969
[11] K. Yosida, Functional Analysis, Springer, Berlin, 1965