The concept of an integral manifold of a system of differential equations with a random right-hand side is introduced. The problem of the existence of an integral manifold of a certain class of differential equations in a Banach space and several of its properties are investigated.
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 44, No. 1, pp. 17–21, January, 1992.
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Kolomiets, V.G., Mel'nikov, A.I. Integral manifolds of systems of differential equations with a random right-hand side in a Banach space. Ukr Math J 44, 12–16 (1992). https://doi.org/10.1007/BF01062623
- Differential Equation
- Banach Space
- Integral Manifold