Abstract
In this chapter we shall present some of the most essential features of stochastic differential equations. Readers interested in learning more about this subject are referred to the book by Gardiner (cf. references).
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Bibliography
K. Itô: Lectures on Stochastic Processes (Tata Institute of Fundamental Research, Bombay 1961)
K. Itô: Stochastic Processes (Universitet Matematisk Institut, Aarhus 1969)
K. Itô, H.P. McKean: Diffusion Processes and Their Sample Paths (Springer, Berlin, Heidelberg, New York 1965)
K. Itô: Nagoya Math. J. 1, 35 (1950)
K. Itô: Nagoya Math. J. 3, 55 (1951)
K. Itô: On Stochastic Differential Equations (Am. Math. Soc., New York, 1951)
P. Langevin: Sur la théorie du mouvement brownien. C. R. Acad. Sci. Paris 146, 530 (1908)
R. L. Stratonovich: SIAM J. Control 4, 362 (1966)
I. I. Gihmann, A. V. Skorohod: Stochastic Differential Equations (Springer, Berlin, Heidelberg, New York 1972)
L. Arnold: Stochastic Differential Equations (Oldenbourg, München 1973)
N. G. van Kampen: Stochastic Processes in Physics and Chemistry (North-Holland, Amsterdam 1981)
C. W. Gardiner: Handbook of Stochastic Methods. Springer Ser. Synergetics, Vol. 13 (Springer, Berlin, Heidelberg, New York 1983)
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© 1983 Springer-Verlag Berlin Heidelberg
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Haken, H. (1983). Stochastic Nonlinear Differential Equations. In: Advanced Synergetics. Springer Series in Synergetics, vol 20. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-45553-7_4
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DOI: https://doi.org/10.1007/978-3-642-45553-7_4
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-45555-1
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