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To this end recall from Definition 1.15 in [4] that T is well generated if there is a regular cardinal α such that condition (2) in the following theorem holds.
Since a dualizing complex has finite projective dimension if and only if R is Gorenstein, one corollary of the preceding theorem is that R is Gorenstein if and only if every
The form (1) is motivated by [1], [2] (see also [3])where the authors studied the hypoellipticity and the local solvability of finitely degenerate differential operators..
connected theory of elastothermodiffusion for three-dimensional do- mains bounded by several closed surfaces when the same boundary conditions are fulfilled on every separate
The following theorems, proved in [2], therefore hold, the first showing that the neutrix convolution product is a generaliza- tion of the convolution product..
Theorem 3.1. If a stock price process S follows the models described in cases 1) – 4) , then under the conditions given in these models a strong innovation process w exists for
SOLVABILITY AND THE UNIQUE SOLVABILITY OF A PERIODIC TYPE BOUNDARY VALUE PROBLEM FOR FIRST ORDER SCALAR FUNCTIONAL
We establish new efficient conditions for the unique solvability of a non-local boundary value problem for first-order linear functional differential equations.. Differential
