Publication Records

ŠIMON HILSCHER, Roman. A note on the time scale calculus of variations problems. Ulm: University of Ulm, 2009, 8 pp. Ulmer Seminare 14.

POSPÍŠIL, Zdeněk. Dynamic replicator equation and its transformation. In Difference Equations and Applications. Istanbul, Turkey: Bahcesehir University Press, 2009, p. 251-258. ISBN 978-975-6437-80-3.

ŠIMON HILSCHER, Roman and Vera ZEIDAN. Oscillation results for time scale symplectic systems. In Proceedings of the 14th International Conference on Difference Equations and Applications. Istanbul: Ugur-Bahcesehir University Publishing Company, 2009, p. 203-210. ISBN 978-975-6437-80-3.

ŠIMON HILSCHER, Roman and Vera ZEIDAN. Weak maximum principle and accessory problem for control problems on time scales. Nonlinear Analysis. 2009, vol. 70, No 9, p. 3209-3226. ISSN 0362-546X.

HILSCHER, Roman and Vera ZEIDAN. Applications of time scale symplectic systems without normality. Journal of Mathematical Analysis and Applications. San Diego (USA): Elsevier Science, 2008, vol. 340, No 1, p. 451-465. ISSN 0022-247X.

POSPÍŠIL, Zdeněk. Dynamic replicator equation and its transformation. In 14th International Conference on Difference Equations and Applications. 2008.

ŘEHÁK, Pavel. Regular variation on time scales and dynamic equations. The Australian Journal of Mathematical Analysis and Applications. Victoria, Austrálie: Australian Internet Publishing, 2008, vol. 5, No 2, p. 1-10. ISSN 1449-5910.

POSPÍŠIL, Zdeněk. Replicator equation on time scale. In 7. matematický workshop. 2008. ISBN 978-80-214-3727-2.

HILSCHER, Roman and Vera Michel ZEIDAN. Riccati equations for abnormal time scale quadratic functionals. Journal of Differential Equations. San Diego (USA): Elsevier Science, 2008, vol. 244, No 6, p. 1410-1447. ISSN 0022-0396.

HILSCHER, Roman and Christopher C. TISDELL. Terminal value problems for first and second order nonlinear equations on time scales. Electronic Journal of Differential Equations. San Marcos, TX 78666, USA: Texas State University - San Marcos, 2008, vol. 2008, No 68, p. 1-21. ISSN 1072-6691.

HILSCHER, Roman and Vera ZEIDAN. Time scale embedding theorem and coercivity of quadratic functionals. Analysis (Munich). Mnichov: Oldenbourg Wissenschaftsverlag, 2008, vol. 28, No 1, p. 1-28. ISSN 0174-4747.

DOŠLÝ, Ondřej and Daniel MAREK. Even order linear dynamic equations with mixed derivatives. Comput. Math. Appl. 2007, vol. 53, No 7, p. 1140-1152. ISSN 0898-1221.

ERBE, Lynn, Allan PETERSON and Pavel ŘEHÁK. Integral comparison theorems for second order linear dynamic equations. In Difference equations, special functions and orthogonal polynomials, Eds. S. Elaydi, J Cushing, R. Lasser, V. Papageorgiou, A. Ruffing, W. Van Assche. London: World Scientific, 2007, p. 497-506. ISBN 978-981-270-643-0.

HILSCHER, Roman and Viera RŮŽIČKOVÁ. Perturbation of nonnegative time scale quadratic functionals. In Difference Equations, Special Functions, and Orthogonal Polynomials. Londýn: World Scientific, 2007, p. 266-275. ISBN 978-981-270-643-0.

HILSCHER, Roman and Viera RŮŽIČKOVÁ. Perturbation of time scale quadratic functionals with variable endpoints. Advances in Dynamical Systems and Applications. Delhi (Indie): Research India Publications, 2007, vol. 2, No 2, p. 207-224. ISSN 0973-5321.

HILSCHER, Roman. Comparison results for solutions of time scale matrix Riccati equations and inequalities. The Australian Journal of Mathematical Analysis and Applications. Victoria, Austrálie: Australian Internet Publishing, 2006, vol. 3, No 2, p. Article 13, 1-15, 15 pp. ISSN 1449-5910.

ŘEHÁK, Pavel. Function sequence technique for half-linear dynamic equations on time scales. Panamer. Math. J. 2006, vol. 16, No 1, p. 31-56. ISSN 1064-9735.

HILSCHER, Roman and Vera ZEIDAN. Time scale symplectic systems without normality. Journal of Differential Equations. San Diego (USA): Elsevier Science, 2006, vol. 230, No 1, p. 140-173. ISSN 0022-0396.

BOHNER, Martin and Roman HILSCHER. An eigenvalue problem for linear Hamiltonian dynamic systems. Fasciculi Mathermatici. Poznaň, Polsko: Politechnika Poznaňska, Institut Mat., 2005, vol. 35, No 1, p. 35-49. ISSN 0044-4413.

DOŠLÝ, Ondřej and Daniel MAREK. Half-linear dynamic equations with mixed derivatives. Electron. J. Diff. Equations. 2005, vol. 2005, No 1, p. 1-18. ISSN 1072-6691.

ŘEHÁK, Pavel. Hardy inequality on time scales and its application to half-linear dynamic equations. J. Inequal. Appl. 2005, vol. 2005, No 5, p. 495-507. ISSN 1025-5834.

DOŠLÝ, Ondřej. The Bohl transformation and its applications. In 2004 - Dynamical Systems and Applications. Dehli: GBS Publishers & Distributors, 2005, p. 371-385. ISBN 81-89476-00-9.

ŘEHÁK, Pavel. On certain comparison theorems for half-linear dynamic equations on time scales. Abstr, Appl. Anal. 2004, vol. 2004, No 7, p. 551-565. ISSN 1085-3375.

ŘEHÁK, Pavel. Opial and Lypaunov type inequalities for half-linear dynamic equations. Dynamic Systems and Applications. Atlanta, USA: Dynamic Publishers,Inc., 2004, vol. 13, 3-4, p. 445-458. ISSN 1056-2176.

DOŠLÝ, Ondřej and Martin BOHNER. Oscillation of symplectic dynamic systems. ANZIAM J. 2004, vol. 46, No 2, p. 17-32. ISSN 1446-1811.

HILSCHER, Roman and Pavel ŘEHÁK. Riccati inequality, disconjugacy, and reciprocity principle for linear Hamiltonian dynamic systems. Dynamic Systems and Applications. Atlanta, USA: Dynamic Publishers,Inc., 2003, vol. 12, 1-2, p. 171-189. ISSN 1056-2176.

DOŠLÝ, Ondřej and Stefan HILGER. A necessary and sufficient condition for oscillation of the Sturm-Liouville dynamic equation on time scales. J. Comput. Math. Appl. 2002, vol. 141, 1-2, p. 147-158. ISSN 0377-0427.

HILSCHER, Roman. A time scales version of a Wirtinger type inequality and applications. Journal of Computational and Applied Mathematics. Elsevier Science, 2002, vol. 141, 1-2, p. 219-226. ISSN 0377-0427.

ŘEHÁK, Pavel. Half-linear dynamic equations on time scales: IVP and oscillatory properties. Nonlinear Functional Analysis and Applications. Kyungnam University, Masan: Kyungnam University Press, 2002, vol. 7, No 3, p. 361-404. ISSN 1229-1595.

DOŠLÝ, Ondřej and Roman HILSCHER. Disconjugacy, transformations and quadratic functionals for symplectic dynamic systems on time scales (Disconjugacy,transformations and quadratic functionals for symplectic dynamic systems on time scales). J. Difference Equations Appl. San Diego, 2001, vol. 7, No 3, p. 265-294. ISSN 1023-6198.

HILSCHER, Roman. Inhomogeneous quadratic functionals on time scales. Journal of Mathematical Analysis and Applications. USA: Acad.Press, 2001, vol. 253, No 2, p. 473-481, 8 pp. ISSN 0022-247X.

DOŠLÝ, Ondřej, Martin BOHNER and Roman HILSCHER. Linear Hamiltonian dynamic systems on time scales: Sturmian property of principal solution. Nonlin. Anal. Atlanta, 2001, vol. 47, No 2, p. 849-859. ISSN 0362-546X.

HILSCHER, Roman. Positivity of quadratic functionals on time scales: necessity. Mathematische Nachrichten. Berlin: WILEY-VCH Verlag, 2001, vol. 226, No 1, p. 85-98. ISSN 0025-584X.

HILSCHER, Roman. Reid roundabout theorem for symplectic dynamic systems on time scales. Applied Mathematics and Optimization. New York: Springer-Verlag, 2001, vol. 43, No 2, p. 129-146. ISSN 0095-4616.

HILSCHER, Roman. Linear Hamiltonian systems on time scales: positivity of quadratic functionals. Mathematical and Computer Modelling. Elsevier Science, 2000, vol. 32, 5-6, p. 507-527, 20 pp. ISSN 0895-7177.

HILSCHER, Roman. On disconjugacy for vector linear Hamiltonian systems on time scales. In Communications in Difference Equations: Proceedings of the Fourth International Conference on Difference Equations. Amsterdam: Gordon and Breach, 2000, p. 181-188. ISBN 90-5699-688-6.

DOŠLÝ, Ondřej. Principal solution of symplectic dynamic systems on time scales. In Electron. J. Qual. Theory Differ. Equ. Szeged: Proc. 6th Coll. QTDE, 2000, p. 1-14. ISSN 1417-3875.

HILSCHER, Roman. Linear Hamiltonian systems on time scales: transformations. Dynamic Systems and Applications. Atlanta, USA: Dynamic Publishers,Inc., 1999, vol. 8, 3-4, p. 489-501, 12 pp. ISSN 1056-2176.

DOŠLÝ, Ondřej. Sturm-Liouville dynamic equations on time scales - a unified approach to continuous and discrete oscillation theory. In Proceedings of ISCM. Žilina: University of Žilina, 1998, p. 49-56.