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Prof. Dr. Achim Ilchmann

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Jacob, Birgit; Langer, Matthias; Trunk, Carsten;
Variational principles for self-adjoint operator functions arising from second-order systems. - In: Operators and matrices : OaM. - Zagreb : Element, Bd. 10 (2016), 3, S. 501-531

http://dx.doi.org/10.7153/oam-10-29
Behrndt, Jussi; Schmitz, Philipp; Trunk, Carsten;
Bounds on the non-real spectrum of a singular indefinite Sturm-Liouville operator on R. - In: Proceedings in applied mathematics and mechanics : PAMM. - Weinheim [u.a.] : Wiley-VCH, ISSN 1617-7061, Bd. 16 (2016), 1, S. 881-882

http://dx.doi.org/10.1002/pamm.201610429
Gernandt, Hannes; Trunk, Carsten;
On the parametric eigenvalue behavior of matrix pencils under rank one perturbations. - In: Proceedings in applied mathematics and mechanics : PAMM. - Weinheim [u.a.] : Wiley-VCH, ISSN 1617-7061, Bd. 16 (2016), 1, S. 873-874

http://dx.doi.org/10.1002/pamm.201610425
Büttner, Florian; Trunk, Carsten;
Limit-point/limit-circle classification of second-order differential operators arising in PT quantum mechanics. - In: Proceedings in applied mathematics and mechanics : PAMM. - Weinheim [u.a.] : Wiley-VCH, ISSN 1617-7061, Bd. 16 (2016), 1, S. 871-872

http://dx.doi.org/10.1002/pamm.201610424
Škalikov, Andrej Andreevič; Trunk, Carsten;
Ob ustojčivosti zamknutosti i samosoprjažennosti dlja 2 x 2 operator-matric - Ilmenau : Technische Universität, Institut für Mathematik, 2016 - 1 Online-Ressource (6 Seiten). . - (Preprint. - M16,07)

Consider an operator which is defined in Banach or Hilbert space by a 2x2 matrix with entries A, B, C, D which where linear operators and which are assumed to be unbounded. In the case when the operators C and B are relatively bounded with respect to the operators A and D, respectively, new conditions of the closeness or closability are obtained for the operator L. For the operator L acting in a Hilbert space the analogs of Rellich-Kato theorems on the stability of self-adjointness are obtained.



https://www.db-thueringen.de/receive/dbt_mods_00030580
Ilchmann, Achim;
EAGLE-Starthilfe Mathematik und Gesellschaft : zur Funktion der angewandten Mathematik - Leipzig : Edition am Gutenbergplatz Leipzig, 2016 - 97 Seiten. . - (Eagle. - 093. Eagle-Starthilfe) ISBN 978-3-95922-093-4
Literaturverzeichnis: Seite 91-94

Leben, Leslie;
Non-negative operators in Krein spaces and rank one perturbations - Ilmenau : Universitätsverlag Ilmenau, 2016 - Online-Ressource (116 Seiten, 6.65 MB).
Technische Universität Ilmenau, Dissertation 2016

In der vorliegenden Arbeit werden eindimensionale Störungen von nichtnegativen Operatoren in Kreinräumen betrachtet. Dabei wird untersucht wie sich die Anzahl der Eigenwerte und deren Vielfachheit in einer Lücke des essentiellen Spektrums unter einer Störung ändern können. Zudem wird beschrieben wie sich an einem Eigenwert die Anzahl und die Länge der linear unabhängigen Jordanketten ändern können.



https://www.db-thueringen.de/receive/dbt_mods_00029981
Worthmann, Karl; Proch, Michael; Braun, Philipp; Schlüchtermann, Jörg; Pannek, Jürgen;
Towards dynamic contract extension in supplier development. - In: Logistics research - Berlin : Springer, ISSN 1865-0368, Bd. 9.2016, Article 14, insg. 12 Seiten

We consider supplier development within a supply chain consisting of a single manufacturer and a single supplier. Because investments in supplier development are usually relationship-specific, safeguard mechanisms against the hazards of partner opportunism have to be installed. Here, formal contracts are considered as the primary measure to safeguard investments. However, formal contracts entail certain risks, e.g., a lack of flexibility, particular in an ambiguous environment. We propose a receding horizon control scheme to mitigate possible contractual drawbacks while significantly enhancing the supplier development process and, thus, to increase the overall supply chain profit. Our findings are validated by a numerical case study.



Worthmann, Karl; Mehrez, Mohamed W.; Zanon, Mario; Mann, George K. I.; Gosine, Raymond G.; Diehl, Moritz;
Model predictive control of nonholonomic mobile robots without stabilizing constraints and costs. - In: IEEE transactions on control systems technology : a publication of the IEEE Control Systems Society. - New York, NY : IEEE, ISSN 1558-0865, Bd. 24 (2016), 4, S. 1394-1406

http://dx.doi.org/10.1109/TCST.2015.2488589
Büttner, Florian; Trunk, Carsten;
Limit-point/limit-circle classification of second-order differential operators arising in PT quantum mechanics - Ilmenau : Technische Universität, Institut für Mathematik, 2016 - 1 Online-Ressource (6 Seiten). . - (Preprint. - M16,03)
https://www.db-thueringen.de/receive/dbt_mods_00029270