Abstract
In , we consider a selfadjoint operator
,
, given by the differential expression
, where
is the first-order differential operator, and
are matrix-valued functions in
periodic with respect to some lattice
. It is assumed that g is bounded and positive definite, while
and Q are, in general, unbounded. We study the generalized resolvent
, where
is a
-periodic, bounded and positive definite matrix-valued function, and
is a complex-valued parameter. Approximations for the generalized resolvent in the
- and
-norms with two-parametric error estimates (with respect to the parameters
and
) are obtained.
AMS Subject Classifications:
Notes
No potential conflict of interest was reported by the authors.