At Bair's direction, the F.D.I.C. bought a database of subprime loans from a company called Loan Performance in order to study the problem more closely, something that, apparently, no other government regulator had thought to do.
In order to study the problem above, we shall consider the following functional framework.
In order to study the problem (1.1), we define some additional functionals.
In order to study the problem, full scale experimental tests on column specimens have been performed under cyclic loads.
We adopt optimal stopping theory and an optimal online search algorithm in order to study the problem of optimally scheduling information consumption.
In order to study the problem (4.10), we need to complete the picture by understanding the first variation of functionals of the form (varrho mapsto mathcal {T}_c varrho,nu )).
Recently, in order to study the problem (1.3) coupled with the fixed point problem, many authors have introduced some iterative schemes for finding a common element of the set of the solutions of the problem (1.3) and the set of fixed points of a countable family of nonexpansive mappings; see [7 16] and the references therein.
Recently, in order to study the problem (1.1) coupled with the fixed point problem, many authors have introduced some iterative schemes for finding a common element of the set of the solutions of the problem (1.1) and the set of fixed points of nonexpansive mappings; see [6 9] and the references therein.
In order to study the problem (1 - 5), we recall the Sobolev space W 1, p defined as the closure of C ∞ ∩ W 1, p in the norm ∥ u ∥ 1, p = ( ∫ Ω | ∇ u | p + | u | p d x ) 1 p. and denote by X ∗ the dual space of X.
