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.

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.

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 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.

HILSCHER, Roman and Vera ZEIDAN. Legendre, Jacobi, and Riccati type conditions for time scale variational problem with application. Dynamic Systems and Applications. Atlanta, USA: Dynamic Publishers,Inc., 2007, vol. 16, No 3, p. 451-480. ISSN 1056-2176.

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 and Vera ZEIDAN. Coupled intervals for discrete symplectic systems. Linear Algebra and its Applications. USA: Elsevier Science, 2006, vol. 419, 2-3, p. 750-764. ISSN 0024-3795.

HILSCHER, Roman and Viera RŮŽIČKOVÁ. Implicit Riccati equations and quadratic functionals for discrete symplectic systems. International Journal of Difference Equations. Delhi (Indie): Research India Publications, 2006, vol. 1, No 1, p. 135-154. ISSN 0973-6069.

HILSCHER, Roman and Viera RŮŽIČKOVÁ. Riccati inequality and other results for discrete symplectic systems. Journal of Mathematical Analysis and Applications. San Diego (USA): Elsevier Science, 2006, vol. 322, No 2, p. 1083-1098. ISSN 0022-247X.

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.

HILSCHER, Roman and Vera ZEIDAN. Nonnegativity and positivity of quadratic functionals in the discrete calculus of variations: Survey. Journal of Difference Equations and Applications. Taylor and Francis, 2005, vol. 11, No 9, p. 857-875. ISSN 1023-6198.

HILSCHER, Roman and Vera ZEIDAN. Coupled intervals in the discrete optimal control. Journal of Difference Equations and Applications. Taylor and Francis, 2004, vol. 10, No 2, p. 151-186. ISSN 1023-6198.

HILSCHER, Roman and Vera ZEIDAN. Equivalent conditions to the nonnegativity of a quadratic functional in discrete optimal control. Mathematische Nachrichten. Berlin: WILEY-VCH Verlag, 2004, vol. 266, No 1, p. 48-59. ISSN 0025-584X.

DOŠLÝ, Ondřej, Roman HILSCHER and Vera ZEIDAN. Nonnegativity of discrete quadratic functionals corresponding to symplectic difference systems. Linear Algebra and its Applications. USA: Elsevier Science, 2003, vol. 375, 1.12.2003, p. 21-44. ISSN 0024-3795.