Systems of essentially infinite-dimensional differential equations |
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Authors: | V. M. Statkevych |
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Affiliation: | 1.“Kyiv Polytechnic Institute” Ukrainian National Technical University,Kyiv,Ukraine |
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Abstract: | We investigate systems of differential equations with essentially infinite-dimensional elliptic operators (of the Laplace–Lévy type). For nonlinear systems, we prove theorems on the existence and uniqueness of solutions. For a linear system, we give an explicit formula for the solution. |
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