Abstract
We study properties of some linear and nonlinear operators which occur in the theory of stochastic differential and integral equations.
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V. P. Maksimov, “Noetherian character of the general boundary problem for a linear functional-differential equation,” Differents. Uravn., 10, No. 12, 2288–2291 (1974).
A. V. Ponosov, “Theory of Stochastic completely continuous operators,” in: Functional-Differential Equations [in Russian], Perm. Politekh. Inst., Perm' (1987), pp. 68–74.
V. S. Korolyuk, et al., Handbook on Probability Theory and Mathematical Statistics [in Russian], Nauka, Moscow (1985).
S. M. Nikol'skii, Approximation of Functions of Several Variables and Imbedding Theorems [in Russian], Nauka, Moscow (1969).
S. G. Krein (ed.), Functional Analysis [in Russian], Nauka, Moscow (1972).
A. V. Ponosov, “The inner composition operator in the space of Ito processes,” in: Boundary Problems [in Russian], Perm. Politekh. Inst., Perm1 (1986), pp. 28–31.
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Translated from Statisticheskie Metody Otsenivaniya i Proverki Gipotez, pp. 148–154, 1988.
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Ponosov, A.V. Stochastic complete continuity property of operators connected with a Wiener process. J Math Sci 56, 2492–2496 (1991). https://doi.org/10.1007/BF01096120
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DOI: https://doi.org/10.1007/BF01096120