Spectral theory for operator matrices related to models in mechanics

We derive various properties of the operator matrix A = 0 I −A0 −D , where A0 is a uniformly positive operator and A−1/2 0 DA−1/2 0 is a bounded non-negative operator in a Hilbert space H. Such operator matrices are associated with second order problems of the form z(t) + A0z(t) + D z(t) = 0 which are used as models for transverse motions of thin beams in the presence of damping.


Citation style:
Could not load citation form.


Use and reproduction:
All rights reserved