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Institut für
Mathematik

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Mathematik
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Prof. Dr. rer. nat. habil. Bernd Marx

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Preprints

2012 |2011 | 2010 | 2009 | 2008 | 2007 | 2006 

Preprints 2012

12-06Ilchmann, Achim
Decentralized tracking of interconnected systems
12-05Eichfelder, Gabriele
Numerical procedures in multiobjective optimization with variable ordering structures
12-04Berger, Thomas
Effects of dynamic and non-dynamic element changes in RLC networks
12-03Berger, Thomas; Reis, Timo
Controllability of linear differential-algebraic systems - A survey
12-02John, Peter; Sachs, Horst 
Symmetric Grahps-Spectra and Eigenvectors

Preprints 2011

11-18Behrndt, Jussi; Hassi, Seppo; Snoo, Henk de; Wietsma, Rudi; Winkler, Henrik
Linear fractional transformations of nevanlinna functions associated with a nonnegative operator
11-17Winkler, Henrik; Woracek, Harald
Reparametrizations of non trace-normed Hamiltonians
11-16Hildenbrandt, Regina
A k-Server Problem with Parallel Request and Unit Distances
11-15Azizov, Tomas; Trunk, Carsten:
PT Symmetric, Hermitian and P-Self-Adjoint Operators Related to Potentials in PT Quantum Mechanics

11-14

Berger, Thomas; Ilchmann, Achim; Reis, Timo:

Normal forms, high-gain and funnel control for linear differential-algebraic systems
11-13Sinotina, Tatiana; Vogel, Silvia:
A concentration inequality for kernel regression estimators
11-12Vogel, Silvia:
Universal Confidence Sets - Estimation and Relaxation
11-11Hennig, E., Krauße, D., Schäfer, E., Sommer, R., Trunk, C., Winkler, H.:
FREQUENCY COMPENSATION FOR A CLASS OF
DAE’S ARISING IN ELECTRICAL CIRCUITS
11-10Vogt, Werner:
Zur numerischen Approximation von Einzugsbereichen periodischer Schwingungen mit Mittelungsmethode und Poincaré-Methode im ebenen Fall
11-09Berger, Thomas:
Bohl exponents for time-varying linear diff erential-algebraic equations
11-08Behrndt, Jussi, Philipp, Friedrich, Trunk, Carsten:
A perturbation approach to differential operators with indefinite weights
11-07Berger, Thomas, Trenn, Stephan:
The Quasi-Kronecker form for matrix pencils
11-06Neundorf, Werner:
Numerik gewöhnlicher Differentialgleichungen - Anfangswertprobleme
11-05Babovsky, Hans, Neundorf, Werner:
Numerische Approximation von Funktionen
11-04Harant, Jochen, Jendrol, Stanislav:
Facial non-repetitive vertex colouring of some families of 2-connected plane graphs
11-03Labrousse, Jean-Philippe, Sandovici, Adrian, de Snoo, Henk, Winkler, Henrik:
Closed linear relations and their regular points
11-02de Snoo, Henk, Winkler, Henrik, Wojtylak, Michal:
Zeros of nonpositive type of generalized Nevanlinna functions with one negative square
11-01Behrndt, Jussi, Möws, Roland, Trunk, Carsten:
Eigenvalue estimates for singular left-definite Sturm-Liouville Operators

Preprints 2010

10-16Behrndt, Jussi, Luger, Annemarie, Trunk, Carsten:
On the negative squares of a class of self-adjoint extensions in Krein spaces
10-15 Berger, Thomas; Ilchmann, Achim; Reis, Timo:
Zero dynamics and funnel control of linear differential-algebraic systems
10-14 Vogt, Werner:
Zur Numerik nichtlinearer dynamischer Systeme : Teil 3: Quasi-periodische Schwingungen
10-13 Vogt, Werner:
Zur Numerik nichtlinearer dynamischer Systeme : Teil 2: Periodische Schwingungen
10-12 Berger, Thomas; Ilchmann, Achim:
On stability of time-varying linear differential-algebraic equations
10-11 Kuzhel, Sergii; Trunk, Carsten:
On a class of J-self-adjoint operators with empty resolvent set
10-10 Vogt, Werner:
Zur Numerik nichtlinearer dynamischer Systeme : Teil 1: Gleichgewichtslösungen
10-09 Philipp, Friedrich; Strauss, Vladimir A.; Trunk, Carsten:
Local spectral theory for normal operators in Krein spaces
10-08 Harant, Jochen:
A Lower Bound on Independence in Terms of Degrees
10-07 Berger, Thomas; Ilchmann, Achim:
Time-varying linear DAEs transferable into standard canonical form
10-06 Hackl, Christoph; Hopfe, Norman; Ilchmann, Achim; Mueller, Markus; Trenn, Stephan:
Funnel control for systems with relative degree two
10-05 Berger, Thomas; Ilchmann, Achim:
Zero dynamics of time-varying linear systems
10-04 Neundorf, Werner:
Die Mathematische Zauberkiste
10-03 Philipp, Friedrich; Szafraniec, Franciszek Hugon; Trunk, Carsten:
Selfadjoint Operators in S-Spaces
10-02 Sinotina, Tatiana; Vogel, Silvia:
Universal confidence sets for the mode of a regression function
10-01 Neundorf, Werner:
Die komplexen Wurzeln aus 1

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Preprints 2009

09-37 Artmann, Sarah; Pruchnewski, Anja:
Constructing a Dominating Set for bipartite graphs in several Rounds
09-36 Neundorf, Werner:
Fourier-Reihen, Pi und Cotangens
09-35 Rautenbach, Dieter; Schäfer, Philipp Matthias:
Null-Homotopic Graphs and Triangle-Completions of Spanning Trees
09-34 Rautenbach, Dieter; Schäfer, Philipp Matthias:
Finite Sholander Trees, Trees, and their Betweennesses
09-33 Rautenbach, Dieter; Schäfer, Philipp Matthias:
Strict Betweennesses induced by Posets as well as by Graphs
09-32 Löwenstein, Christian; Pedersen, Anders Sune; Rautenbach, Dieter; Regen, Friedrich:
Independence, Odd Girth, and Average Degree
09-31 Harant, Jochen; Rautenbach, Dieter:
Independence in Connected Graphs
09-30 Azizov, Tomas Ya; Trunk, Carsten:
On Domains of PT Symmetric Operators Related to −y′′(x) + (−1)nx2ny(x)
09-29 Steigenberger, Joachim; Abeßer, Harald:
Quasistatic inflation processes within compliant tubes
09-28 Abeßer, Harald; Steigenberger, Joachim:
Ein Optimalsteuerproblem mit einem speziellen Zielfunktional und Zustandsbeschränkungen in einem Teilintervall bei beliebigem Relativgrad
09-27 Hopfe, Norman; Ilchmann, Achim; Ryan, Eugene P.:
Funnel control with saturation: nonlinear SISO systems
09-26 Boßecker, Anett; Rautenbach, Dieter:
Interpolating between Bounds on the Independence Number
09-25 Henning, Michael A.; Loewenstein, Christian; Rautenbach, Dieter:
Partitioning a Graph into a Dominating Set, a Total Dominating Set, and something else
09-24 Henning, Michael A.; Löwenstein, Christian; Rautenbach, Dieter:
An Independent Dominating Set in the Complement of a Minimum Dominating Set of a Tree
09-23 Bartoschek, Christoph; Held, Stephan; Maßberg, Jens; Rautenbach, Dieter; Vygen, Jens:
The Repeater Tree Construction Problem
09-22 Brandt, Stephan; Müttel, Janina; Rautenbach, Dieter; Regen, Friedrich:
Minimum Degree and Density of Binary Sequences
09-21 Berger, Thomas; Ilchmann, Achim; Trenn, Stephan:
The Quasi-Weierstraß form for regular matrix pencils
09-20 John, Peter E.; Sachs, Horst:
The Asymptotic Covering Density of Generalized Petersen Graphs
09-19 Ilchmann, Achim; Müller, Markus:
Robustness of funnel control in the gap metric
09-18 Hill, Adrian T.; Ilchmann, Achim:
Exponential stability of time-varying linear systems
09-17 Harant, Jochen; Rautenbach, Dieter; Recht, Peter; Schiermeyer, Ingo; Schulte-Loh, Eva-Maria:
Packing Disjoint Cycles over Vertex Cuts
09-16 Mörig, Marc; Rautenbach, Dieter; Smid, Michiel; Tusch, Jan:
An $ \Omega (n \log n)$ lower bound for computing the sum of even-ranked elements
09-15 Dourado, Mitre C.; Protti, Fábio; Rautenbach, Dieter; Szwarcfiter, Jayme L.:
Some Remarks on the Geodetic Number of a Graph
09-14 Dourado, Mitre C.; Protti, Fábio; Rautenbach, Dieter; Szwarcfiter, Jayme L.:
On the Convexity Number of Graphs
09-13 Dourado, Mitre C.; Protti, Fábio; Rautenbach, Dieter; Szwarcfiter, Jayme L.:
On the Hull Number of Triangle-free Graphs
09-12 Penso, Lucia Draque; Rautenbach, Dieter; Szwarcfiter, Jayme Luiz:
Connectivity and Diameter in Distance Graphs
09-11 Penso, Lucia Draque; Rautenbach, Dieter; Szwarcfiter, Jayme Luiz:
Long Cycles and Paths in Distance Graphs
09-10 Lin, Min Chih; Rautenbach, Dieter; Soulignac, Francisco Juan; Szwarc fiter, Jayme Luiz:
Powers of Cycles, Powers of Paths, and Distance Graphs
09-09 Löwenstein, Christian; Rautenbach, Dieter:
Pairs of Disjoint Dominating Sets and the Minimum Degree of Graphs
09-08 Rautenbach, Dieter; Regen, Friedrich:
Graphs with many Vertex-Disjoint Cycles
09-07 Rautenbach, Dieter; Regen, Friedrich:
On Packing Shortest Cycles in Graphs
09-06 Henn, Mark-Alexander; Mehl, Christian; Trunk, Carsten:
Hyponormal and Strongly Hyponormal Matrices in Inner Product Spaces
09-05 Hopfe, Norman; Ilchmann, Achim; Ryan, Eugene P.:
Funnel control with saturation: linear MIMO systems
09-04 Liberzon, Daniel; Trenn, Stephan:
On stability of linear switched differential algebraic equations
09-03 Trenn, Stephan:
Impulse free solutions for switched di fferential algebraic equations
09-02 Babovsky, Hans:
A numerical model for the Boltzmann equation with applications to micro flows
09-01 Steigenberger, Joachim:
What the hell do they mean by 'locomotion'?

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Preprints 2008

08-28 Behrndt, Jussi; Katatbeh, Qutaibeh; Trunk, Carsten:
Non-real eigenvalues of singular indefinite Sturm-Lioville operators
08-27 Löwenstein, Christian; Rautenbach, Dieter; Schiermeyer, Ingo:
Cycle Length Parities and the Chromatic Number
08-26 Löwenstein, Christian; Rautenbach, Dieter:
Pairs of Disjoint Dominating Sets and the Minimum Degree of Graphs
08-25 Harant, Jochen; Rautenbach, Dieter; Regen, Friedrich; Recht, Peter:
Packing Edge-Disjoint Cycles in Graphs and the Cyclomatic Number
08-24 Trenn, Stephan:
Regularity of distributional differential algebraic equations
08-23 Müller, Markus:
Output feedback stabilization of multivariable systems with vector relative degree
08-22 Ilchmann, Achim; Ke, Zhenqing; Logemann, Hartmut:
Indirect sampled-data control with sampling period adaptation
08-21 Ilchmann, Achim; Ngoc, Pham Huu Anh:
Stability of positive linear Volterra integro-differential systems with delays
08-20 Cegielski, Andrzej:
Methods for finding fixed points of nonexpansive operators in a Hilbert space
08-19 Jacob, Birgit; Trunk, Carsten:
Spectrum and Analyticity of Semigroups arising in Elasticity Theory and Hydromechanics
08-18 Löwenstein, Christian; Rautenbach, Dieter; Regen, Friedrich:
On Spanning Tree Congestion
08-17 Brandt, Stephan; Miskuf, Jozef; Rautenbach, Dieter; Regen, Friedrich:
Edge-Injective and Edge-Surjective Vertex Labellings
08-16 French, Mark; Ilchmann, Achim; Müller, Markus:
Robust stabilization by linear output delay feedback
08-15 Trunk, Carsten:
Analyticity of Semigroups Related to a Class of Block Operator Matrices
08-14 Trenn, Stephan:
Distributional solution theory for linear DAEs
08-13 Ilchmann, Achim; Ryan, Eugene P.:
Performance funnels and tracking control
08-12 Azizov, Tomas Ya.; Behrndt, Jussi; Jonas, Peter; Trunk, Carsten:
Spectral Points of Definite Type and Type \pi for Linear Operators and Relations in Krein Spaces
08-11 Löwenstein, Christian; Rautenbach, Dieter:
Cohabitation of Independent Sets and Dominating Sets in Trees
08-10 Artmann, Sarah; Göring, Frank; Harant, Jochen; Rautenbach, Dieter; Schiermeyer, Ingo:
Random Procedures for Dominating Sets in Graphs
08-09 Henning, Michael; Löwenstein, Christian; Rautenbach, Dieter:
Remarks about Disjoint Dominating Sets
08-08 Philipp, Friedrich; Trunk, Carsten:
G-Selfadjoint Operators in Almost Pontryagin Spaces
08-07 Scheide, Diego:
Graph Edge Coloring: Tashkinov Trees and Goldberg's Conjecture
08-06 Vogel, Silvia:
Universal Confidence Sets - Sufficient Conditions
08-05 Ilchmann, Achim; Ngoc, Pham Huu Anh:
On positivity and stability of linear time-varying Volterra equations
08-04 Müller, Markus:
Normal form for linear systems with respect to its vector relative degree
08-03 Azizov, Tomas Ya.; Jonas, Peter; Trunk, Carsten:
Small Perturbation of Selfadjoint and Unitary Operators in Krein Spaces
08-02 Löwenstein, Christian; Rautenbach, Dieter; Regen, Friedrich:
Chiraptophobic Cockroaches evading a Torch Light
08-01 Trenn, Stephan:
A normal form for pure differential algebraic systems

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Preprints 2007

07-27 Trenn, Stephan:
Multilayer perceptrons: Approximation order and necessary number of hidden units
07-26 Pruchnewski, Anja; Voigt, Margit:
Precoloring extension for K4-minor-free graphs
07-25 Azizov, Tomas Ya.; Behrndt, Jussi; Jonas, Peter; Trunk, Carsten:
COMPACT AND FINITE RANK PERTURBATIONS OF LINEAR RELATIONS IN HILBERT SPACES
07-24 Strauss, Vladimir A.; Trunk, Carsten:
Spectralizable Operators
07-23 Karabash, Illya; Trunk, Carsten:
Spectral properties of singular Sturm-Liouville operators with indefinite weight sgn x
07-22 Behndt, Jussi; Qutaibeh, Katatbeh; Trunk, Carsten:
Accumulation of complex eigenvalues of indefinite Sturm-Liouville operators
07-21 Azizov, Tomas Ya.; Behrndt, Jussi; Philipp, Friedrich; Trunk, Carsten:
On Domains of Powers of Linear Operators and Finite Rank Perturbations
07-20 Trunk, Carsten:
Spectral Theory for Operator Matrices Related to Models in Mechanics
07-19 Jacob, Birgit; Trunk, Carsten; Winklmeier, Monika:
Analyticity and Riesz basis property of semigroups associated to damped vibrations
07-18 Trunk, Carsten:
Perturbation Theory for Self-Adjoint Operators in Krein spaces
07-17 Stauss, Vladimir A.; Trunk, Carsten:
Some Sobolev Spaces as Pontryagin Spaces
07-16 Neundorf, Werner:
Kondition eines Problems sowie Gleitpunktarithmetik in den CAS Maple, MATLAB und in höheren Programmiersprachen
07-15 Harant, Jochen; Henning, Michael A.; Rautenbach, Dieter; Schiermeyer, Ingo:
The Independence Number in Graphs of Maximum Degree Three
07-14 Göring, Frank; Harant, Jochen; Rautenbach, Dieter; Schiermeyer, Ingo:
Locally Dense Independent Sets in Regular Graphs of Large Girth
07-13 Ilchmann, Achim; Müller, Markus:
Robustness of $\lambda$-tracking in the gap metric
07-12 Brandt, Stephan; Miskuf, Jozef; Rautenbach, Dieter:
Edge Irregular Total Labellings for Graphs of Linear Size
07-11 Rautenbach, Dieter; Volkmann, Lutz:
Some Remarks on p,q-Connectedness
07-10 Rautenbach, Dieter; Volkmann, Lutz:
On the Existence of Edge Cuts leaving Several Large Components
07-09 Löwenstein, Christian; Rautenbach, Dieter:
Domination in Graphs of Minimum Degree at least Two and large Girth
07-08 Harant, Jochen; Rautenbach, Dieter:
Domination in Bipartite Graphs
07-07 Rautenbach, Dieter; Reed, Bruce:
Domination in Cubic Graphs of Large Girth
07-06 Rautenbach, Dieter; Volkmann, Lutz:
Cyclic Sums, Network Sharing and Restricted Edge Cuts in Graphs with Long Cycles
07-05 Göring, Frank; Harant, Jochen; Rautenbach, Dieter; Schiermeyer, Ingo:
On F-independence in Graphs
07-04 John, Peter E.; Sachs, Horst:
Spectra of Toroidal Graphs
07-03 Brandt, Stephan; Rautenbach, Dieter; Stiebitz, Michael:
Edge colouring by total labellings
07-02 Ilchmann, Achim; Schuster, Hans:
PI-funnel control for two mass systems
07-01 Ilchmann, Achim; Logemann, Hartmut; Ryan, Eugene P.:
Tracking with prescribed transient performance for hysteretic systems

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Preprints 2006

06-12 Vogel, Silvia:
Sets for Solutions of Optimization Problems
06-11 Babovsky, Hans:
Approximations to the gelation phase of an aeorsol
06-10 Ilchmann, Achim; Ryan, Eugene P.:
Adaptive and non-adaptive control without identification: a survey
06-09 Steigenberger, Joachim; Abeßer, Harald:
Quasistatic inflation processes within rigid tubes
06-08 Crauel, Hans:
Measure Attractors and Markov Attractors
06-07 John, Peter E.:
An eigenvalue conjecture of P. C. Müller (University of Wuppertal)
06-06 Neundorf, Werner; Prätor, Nico:
Modifiziertes Gradientenverfahren
06-05 Vogt, Werner:
Grundlagen zur Numerik partieller Differenzialgleichungen
06-04 John, Peter; Khadikar V., Padmakar; Singh, Jyoti:
A Method of Computing the PI Index of Benzenoid Hydrocarbons Using Orthogonal Cuts
06-03 John, Peter; Sachs, Horst:
On the Goldberg Transformation for three and four valent polyhedra. I
06-02 Vogt, Werner:
Zur Numerik der Rand- und Eigenwertprobleme gewöhnlicher Differenzialgleichungen
06-01 Vogt, Werner:
Adaptive Verfahren zur numerischen Quadratur und Kubatur

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