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Adomian, G.; Rach, R.

Inversion of nonlinear stochastic operators. (English) Zbl 0504.60066

J. Math. Anal. Appl. 91, 39-46 (1983).
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Cited in 159 Documents

MSC:

60H25 Random operators and equations (aspects of stochastic analysis)
60G15 Gaussian processes

Keywords:

decomposition method

Citations:

Zbl 0441.60070; Zbl 0474.60050; Zbl 0351.60053
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Full Text: DOI

References:

[1] Adomian, G.; Malakian, K., Operator theoretic solutions of stochastic systems, J. Math. Anal. Appl., 76, 1, 183-201 (1980) · Zbl 0441.60070
[2] Adomian, G., Stochastic systems analysis, (Adomian, G., Applied Stochastic Processes (1980), Academic Press: Academic Press New York) · Zbl 0474.60050
[3] Adomian, G., Nonlinear stochastic differential equations, J. Math. Anal. Appl., 55, 1, 441-452 (1976) · Zbl 0351.60053
[4] Adomian, G., On the modeling and analysis of nonlinear stochastic systems, (Avula; Bellman; Luke; Rigler, Proceedings of the International Conference on Mathematical Modeling, Vol. 1 (1980), University of Missouri), 29-40 · Zbl 0546.60062
[5] Bellman, R. E.; Adomian, G., The stochastic riccati equation, J. Nonlinear Anal. Theory Meth. Appl., 4, 6, 1131-1133 (1980) · Zbl 0447.60044
[6] Adomian, G.; Malakian, K., Stochastic analysis, Internat. J. Math. Modeling, 1, 3, 211-235 (1980) · Zbl 0523.60058
[7] Adomian, G.; Sibul, L. H., Symmetrized solutions for nonlinear stochastic differential equations, Internat. J. Math. Math. Sci., 4, 3, 529-542 (1981) · Zbl 0465.60057
[8] Adomian, G.; Ambartzumian, R., Some Remarks on Stochastic Transformations, (Sov. J. Contemp. Math. Anal., Vol. XVI (1981), Allerton Press), 25-30, No. 1 · Zbl 0457.60036
[9] Elrod, M., Numerical Solution of Linear Stochastic Differential Equations, (Ph. D. Dissertation (1973), University of Georgia, Center for Applied Mathematics) · Zbl 0444.60048
[10] Adomian, G.; Malakian, K., Inversion of stochastic partial differential operators—the linear case, J. Math. Anal. Appl., 77, 2, 505-512 (1980) · Zbl 0447.60045
[11] Adomian, G., On Product Nonlinearities in Stochastic Differential Equations, Appl. Math. Comput., 8, 79-82 (1981) · Zbl 0454.60060
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