Solutions of ordinary differential equations as limits of pure jump markov processes

作者: Thomas G. Kurtz

DOI: 10.2307/3212147

关键词: Bernoulli differential equationDifferential equationApplied mathematicsExplicit and implicit methodsStochastic partial differential equationDifferential algebraic equationOrdinary differential equationExact differential equationMathematicsMathematical analysisIntegrating factor

摘要: In a great variety of fields, e.g., biology, epidemic theory, physics, and chemistry, ordinary differential equations are used to give continuous deterministic models for dynamic processes which are actually discrete and random in their development. Perhaps the simplest example is the differential equation used to describe a number of processes including radioactive decay and population growth.

参考文章(2)
Thomas G Kurtz, Extensions of Trotter's operator semigroup approximation theorems Journal of Functional Analysis. ,vol. 3, pp. 354- 375 ,(1969) , 10.1016/0022-1236(69)90031-7
A. A. Walters, John G. Kemeny, J. Laurie Snell, Mathematical Models in the Social Sciences Journal of the Royal Statistical Society: Series A (General). ,vol. 127, pp. 131- 132 ,(1964) , 10.2307/2982303