Random Integrodifferential Equations

作者: D. Kannan

DOI: 10.1016/B978-0-12-095601-2.50008-0

关键词:

摘要: Publisher Summary Mathematical equations involve several parameters and coefficients, which arise out of different aspects governing a particular phenomenon; for instance, the diffusion coefficient in heat conduction, refractive index wave propagation, volume-scattering underwater acoustics, growth rate, competition coefficient, carrying capacity population competing species, selection intensity genetics are few such coefficients. The magnitudes these coefficients experimentally determined it is mean value set experimental values that used coefficient. Integrodifferential naturally mathematical formulation many scientific phenomena. This class reactor dynamics, transfer by conduction radiation, atomic scattering, fluctuations brightness stars, automatic systems, kinetic theory gases, prey-predator populations with historical actions, among others.

参考文章(29)
Elias P. Gyftopoulos, Theoretical and Experimental Criteria for Nonlinear Reactor Stability Nuclear Science and Engineering. ,vol. 26, pp. 26- 33 ,(1966) , 10.13182/NSE66-A17184
J. E. Moyal, Stochastic Processes and Statistical Physics Journal of the royal statistical society series b-methodological. ,vol. 11, pp. 150- 210 ,(1949) , 10.1111/J.2517-6161.1949.TB00030.X
Jerome A. Goldstein, Second Order Itô Processes Nagoya Mathematical Journal. ,vol. 36, pp. 27- 63 ,(1969) , 10.1017/S0027763000013118
Hiroshi Kunita, Shinzo Watanabe, On Square Integrable Martingales Nagoya Mathematical Journal. ,vol. 30, pp. 209- 245 ,(1967) , 10.1017/S0027763000012484
George C. Papanicolaou, Asymptotic analysis of transport processes Bulletin of the American Mathematical Society. ,vol. 81, pp. 330- 393 ,(1975) , 10.1090/S0002-9904-1975-13744-X
D KANNAN, On some Markov models of certain interacting populations. Bulletin of Mathematical Biology. ,vol. 38, pp. 723- 738 ,(1976) , 10.1016/S0092-8240(76)80012-2
E. M. Caba�a, The vibrating string forced by white noise Probability Theory and Related Fields. ,vol. 15, pp. 111- 130 ,(1970) , 10.1007/BF00531880
Eugene Wong, Moshe Zakai, The oscillation of stochastic integrals Probability Theory and Related Fields. ,vol. 4, pp. 103- 112 ,(1965) , 10.1007/BF00536744
D. Kannman, A. T. Bharucha-Reid, Random integral equation formulation of a generalized Langevin equation Journal of Statistical Physics. ,vol. 5, pp. 209- 233 ,(1972) , 10.1007/BF01023743