Petr ZEMÁNEK
Homepage
One should always generalize.
Carl G. J. Jacobi
LIST OF MY PUBLICATIONS
Move the cursor on the icon to view the abtract of the document and clik on the icon (if possible) to get the full text of the document.MathSciNet Reviews (by AMS, reviews); Zentralblatt Math Reviews (by EMS, reviews);
Scopus (by Elsevier: ScienceDirect); Web of Science ( Conference Proceedings Citation Index) or ResearcherID (by Thomson Reuters).
Google Scholar (by Google); Microsoft Academic (by Microsoft Corporation).
Mathematical genealogy of Petr Zemánek (by Mathematics Genealogy Project).
Research papers in refereed journals and proceedings
| 12. |
(with P. Hasil) Friedrichs extension of operators defined by even order Sturm—Liouville equations on time scales, Appl. Math. Comput. (2012), to appear. |
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| 11. |
A note on the equivalence between even order Sturm—Liouville equations and symplectic systems on time scales, Appl. Math. Lett. (2012), to appear. |
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| 10. |
(with R. Šimon Hilscher) New results for time reversed symplectic dynamic systems and quadratic functionals, in: "Proceedings of The 9'th Colloquium on the Qualitative Theory of Differential Equations" (Szeged, 2011), L. Hatvani, T. Krisztin, and R. Vajda, editors, Electron. J. Qual. Theory Differ. Equ. (2012), no. 15, pp. 1‑11 (electronic). |
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| 9. |
(with R. Šimon Hilscher) Overview of Weyl—Titchmarsh theory for second order Sturm—Liouville equations on time scales, Int. J. Difference Equ. 6 (2011), no. 1, 39‑51. |
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| 8. |
(with P. Hasil) Critical second order operators on time scales, in: "Proceedings of the 8th AIMS Conference on Dynamical Systems, Differential Equations and Applications" (Dresden, 2010), W. Feng, Z. Feng, M. Grasselli, X. Lu, S. Siegmund, and J. Voigt, editors, AIMS Proceedings, Discrete Contin. Dyn. Syst. 2011 (2011), suppl., 653‑659. |
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| 7. |
(with R. Šimon Hilscher) Weyl—Titchmarsh theory for time scale symplectic systems on half line, in: "Recent Progress in Differential and Difference Equations", Proceedings of the Conference on Differential and Difference Equations and Applications (Rajecké Teplice, 2010), J. Diblík, E. Braverman, Y. Rogovchenko, and M. Růžičková, editors, Abstr. Appl. Anal. 2011 (2011), Art. ID 738520, 41 pp. (electronic). |
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| 6. |
Krein—von Neumann and Friedrichs extensions for second order operators on time scales, in "Dynamic Equations on Time Scales and Applications", L. H. Erbe and A. C. Peterson, editors, Int. J. Dyn. Syst. Differ. Equ. 3 (2011), no. 1‑2, 132‑144. |
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| 5. |
(with S. L. Clark) On a Weyl—Titchmarsh theory for discrete symplectic systems on a half line, Appl. Math. Comput. 217 (2010), no. 7, 2952‑2976. |
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| 4. |
(with R. Šimon Hilscher) Friedrichs extension of operators defined by linear Hamiltonian systems on unbounded interval, in: "Equadiff 12", Proceedings of the Conference on Differential Equations and their Applications (Brno, 2009), J. Diblík, O. Došlý, P. Drábek, and E. Feistauer, editors, Math. Bohem. 135 (2010), no. 2, 209‑222. |
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| 3. |
(with R. Šimon Hilscher) Trigonometric and hyperbolic systems on time scales, Dynam. Systems Appl. 18 (2009), no. 3‑4, 483‑506. |
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| 2. |
(with R. Šimon Hilscher) Definiteness of quadratic functionals for Hamiltonian and symplectic systems: A Survey, Int. J. Difference Equ. 4 (2009), no. 1, 49‑67. |
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| 1. |
Discrete trigonometric and hyperbolic systems: An overview, in: "Ulmer Seminare über Funktionalanalysis und Differentialgleichungen", Vol. 14, pp. 345‑359, University of Ulm, Ulm, 2009. |
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Textbooks
| 2. |
(with O. Došlý) Integrální počet v R (in Czech, [Integral Calculus in R]), Masaryk University, Brno, 2011. ISBN 978‑80‑210‑5635‑0. |
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| 1. |
(with P. Hasil) Sbírka řešených příkladů z matematické analýzy I (in Czech, [Collection of Solved Problems in Mathematical Analysis I]) [online], 3rd edition, Elportál, Masaryk University, Brno, 2012 [vid. 2012‑04‑27]. ISSN 1802‑128X. |
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Theses and dissertations
| 3. |
New Results in Theory of Symplectic Systems on Time Scales, doctoral dissertation, Masaryk University, Brno, 2011. ISBN 978-80-210-5515-5. |
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| 2. |
Symplektické diferenční systémy (in Czech, [Symplectic Difference Systems]), MSc. thesis, Masaryk University, Brno, 2007. |
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| 1. |
Lineární diferenciální rovnice n-tého řádu s konstantními koeficienty a jejich aplikace (in Czech, [Linear Differential Equations of n-th Order with Constant Coefficients and Their Applications]), BSc. thesis, Masaryk University, Brno, 2005. |
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Others
| 1. |
QR-rozklad (in Czech, [QR Decomposition]), seminar work, author preprint, 2006. |
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