Systems of essentially infinite-dimensional differential equations
We investigate systems of differential equations with essentially infinite-dimensional elliptic operators (of the Laplace - Levy 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.
English version (Springer): Ukrainian Mathematical Journal 63 (2011), no. 9, pp 1433-1440.
Citation Example: Statkevych V. M. Systems of essentially infinite-dimensional differential equations // Ukr. Mat. Zh. - 2011. - 63, № 9. - pp. 1257-1262.