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Solutions of a class of nonlinear master equations
Journal article

Solutions of a class of nonlinear master equations

Abstract

Nonlinear master equations in the case of one kind of particle are discussed from the point of view of solving a martingale problem. We get some conditions from which the existence, uniqueness and ergodicity of solutions follow. These results are then used to discuss the phenomenon of phase transitions of the second Schlögl model.

Authors

Feng S; Zheng X

Journal

Stochastic Processes and their Applications, Vol. 43, No. 1, pp. 65–84

Publisher

Elsevier

Publication Date

November 1992

DOI

10.1016/0304-4149(92)90076-3

ISSN

0304-4149