Zobrazeno 1 - 10
of 208
pro vyhledávání: '"Trunk, Carsten"'
The limit point and limit circle classification of real Sturm-Liouville problems by H. Weyl more than 100 years ago was extended by A.R. Sims around 60 years ago to the case when the coefficients are complex. Here, the main result is a collection of
Externí odkaz:
http://arxiv.org/abs/2310.16128
We address the feedback design problem for switched linear systems. In particular we aim to design a switched state-feedback such that the resulting closed-loop subsystems share the same eigenstructure. To this effect we formulate and analyse the fee
Externí odkaz:
http://arxiv.org/abs/2308.10591
We study singular Sturm-Liouville operators of the form \[ \frac{1}{r_j}\left(-\frac{\mathrm d}{\mathrm dx}p_j\frac{\mathrm d}{\mathrm dx}+q_j\right),\qquad j=0,1, \] in $L^2((a,b);r_j)$, where, in contrast to the usual assumptions, the weight functi
Externí odkaz:
http://arxiv.org/abs/2308.00464
We study a two-point boundary value problem for a linear differen\-tial-algebraic equation with constant coefficients by using the method of parameterization. The parameter is set as the value of the continuously differentiable component of the solut
Externí odkaz:
http://arxiv.org/abs/2307.03092
In this note we provide estimates for the lower bound of the self-adjoint operator associated with the three-coefficient Sturm-Liouville differential expression $$ \frac{1}{r} \left(-\frac{\mathrm d}{\mathrm dx} p \frac{\mathrm d}{\mathrm dx} + q\rig
Externí odkaz:
http://arxiv.org/abs/2212.09837
A square matrix $A$ has the usual Jordan canonical form that describes the structure of $A$ via eigenvalues and the corresponding Jordan blocks. If $A$ is a linear relation in a finite-dimensional linear space ${\mathfrak H}$ (i.e., $A$ is a linear s
Externí odkaz:
http://arxiv.org/abs/2209.14234
Publikováno v:
J. Math. Anal. Appl. 518 (2023), 126673
We develop relative oscillation theory for general Sturm-Liouville differential expressions of the form \[ \frac{1}{r}\left(-\frac{\mathrm d}{\mathrm dx} p \frac{\mathrm d}{\mathrm dx} + q\right) \] and prove perturbation results and invariance of es
Externí odkaz:
http://arxiv.org/abs/2203.08938
The relationship between linear relations and matrix pencils is investigated. Given a linear relation, we introduce its Weyr characteristic. If the linear relation is the range (or the kernel) representation of a given matrix pencil, we show that the
Externí odkaz:
http://arxiv.org/abs/2203.08296
Publikováno v:
In Journal of Differential Equations 5 October 2024 405:151-178
