Project information
Difference equations and their applications
- Project Identification
- GA201/98/0677
- Project Period
- 1/1998 - 1/2000
- Investor / Pogramme / Project type
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Czech Science Foundation
- Standard Projects
- MU Faculty or unit
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Faculty of Science
- prof. RNDr. Ondřej Došlý, DrSc.
Qualitative properties of solutions of difference equations and systems will be investigated.Main attention will be devoted to linear Hamiltonian difference systems and to higher order ( both linear and nonlinear ) difference equations. The obtained resu lts will be applied in the discrete optimization theory.
Publications
Total number of publications: 26
2003
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Comparison theorems and strong oscillation in the half-linear discrete oscillation theory
Rocky Mountain Journal of Mathematics, year: 2003, volume: 33, edition: 1, DOI
2002
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A necessary and sufficient condition for oscillation of the Sturm-Liouville dynamic equation on time scales
J. Comput. Math. Appl., year: 2002, volume: 141, edition: 1-2
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A time scales version of a Wirtinger type inequality and applications
Journal of Computational and Applied Mathematics, year: 2002, volume: 141, edition: 1-2
2001
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Disconjugacy, transformations and quadratic functionals for symplectic dynamic systems on time scales
J. Difference Equations Appl., year: 2001, volume: 7, edition: 3
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Discrete spectra criteria for certain classes of singular diffferential and difference operators
Computers & mathematics with applications, year: 2001, volume: 42, edition: 3-5
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Generalized discrete Riccati equation and oscillation of half-linear difference equations
Mathematical and Computer Modelling, year: 2001, volume: 2001, edition: 34, DOI
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Hyperbolic sine and cosine functions on measure chains
Nonlinear Analysis TMA, year: 2001, volume: 47, edition: 2
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Hyperbolic Transformation and Hyperbolic Difference Systems
Fasciculi Mathematici, year: 2001, volume: 2001, edition: 32
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Inhomogeneous quadratic functionals on time scales
Journal of Mathematical Analysis and Applications, year: 2001, volume: 253, edition: 2
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Linear Hamiltonian dynamic systems on time scales: Sturmian property of principal solution
Nonlin. Anal., year: 2001, volume: 47, edition: 2