LINEAR DIFFERENTIAL EQUATIONS WITH ESSENTIALLY INFINITE-DIMENSIONAL OPERATORS.

Autor: Bogdansky, Yu. V., Statkevych, V. M.
Předmět:
Zdroj: Naukovi visti NTUU - KPI; 2008, Vol. 2008 Issue 2, p144-147, 4p
Abstrakt: The present paper investigates the equations for functions on a Hilbert space with essentially infinite-dimensional differential operators (Laplace-Levy type) Anu+a1An-1u+…+an-1Au+anu = f. Furthermore, the existence and unity of solution of these equations are proved, and the explicit formula for the first-order equation is obtained [ABSTRACT FROM AUTHOR]
Databáze: Supplemental Index