Here is some advice to make this book easier to read. In order to check/deepen the
understanding of the material and to facilitate independent work the reader is supplied with …

The theory of linear damped oscillations was originally developed more than hundred years
ago and is still of vital research interest to engineers, mathematicians and physicists alike …

The contraction semigroup S (t)= e^ t AS (t)= et A generated by the abstract linear dissipative
evolution equation ̈ u+ A u+ f (A) ̇ u= 0 u¨+ A u+ f (A) u˙= 0 is analyzed, where A is a …

Second order equations of the form ̈ z (t)+ A_0z (t)+ D ̇ z (t)= 0 are considered. Such
equations are often used as a model for transverse motions of thin beams in the presence of …

We revisit the damped string equation on a compact interval with a variety of boundary
conditions and derive an infinite sequence of trace formulas associated with it, employing …

LOCATION OF THE SPECTRUM OF OPERATOR MATRICES WHICH ARE ASSOCIATED TO
SECOND ORDER EQUATIONS 1. Introduction The aim of this pap Page 1 O perators a nd M …

We discuss the unitary equivalence of generators GA, R associated with abstract damped
wave equations of the type ̈ u+ R ̇ u+ A^* A u= 0 in some Hilbert space H _1 and certain …

In general, better performance can be achieved with a controlled minimum-phase system
than a controlled nonminimum-phase system. We show that a wide class of second-order …

We establish a new method for obtaining nonconvex spectral enclosures for operators
associated with second‐order differential equations in a Hilbert space. In particular, we …

Abstract Cauchy problems for a second order linear differential operator equation z (t)+ A0z
(t)+ Dz (t)= 0 in a Hilbert space H are studied. Equations of this kind arise for example in …