Project information
Qualitative theory of solutions of difference equations
- Project Identification
- GA201/01/0079
- Project Period
- 1/2001 - 1/2003
- 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.
- Cooperating Organization
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Brno University of Technology
- Responsible person prof. RNDr. Josef Diblík, DrSc.
Qualitative properties of solutions of difference equations will be investigated. A particular attention will be devoted to the following problems: Oscillation and transformation theory of symplectic difference systems. Qualitative theory of dynamic equations and systems on time scales - a unified approach to differential and difference equations. Oscillation theory of half-linear second order difference equations. Asymptotic properties and stability of solutions of linear and nonlinear differenc e systems. Difference equations in asymptotic theory of functional differential equations. Asymptotic properties of solutions of higher order linear difference equations.
Publications
Total number of publications: 58
2004
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Bounded solutions and wavefronts for discrete dynamics
Computers & Mathematics with Applications, year: 2004, volume: 47, edition: 6-7
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Calculus of variations on time scales: weak local piecewise C1rd solutions with variable endpoints
Journal of Mathematical Analysis and Applications, year: 2004, volume: 289, edition: 1
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Coupled intervals in the discrete optimal control
Journal of Difference Equations and Applications, year: 2004, volume: 10, edition: 2
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Discrete quadratic functionals and symplectic difference systems
Funct. Differ. Equ., year: 2004, volume: 11, edition: 1-2
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Discrete quadratic functionals with jointly varying endpoints via separable endpoints
Proceedings of the Sixth International Conference on Difference Equations, year: 2004
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Equivalent conditions to the nonnegativity of a quadratic functional in discrete optimal control
Mathematische Nachrichten, year: 2004, volume: 266, edition: 1
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Half-Linear Differential Equations
Handbook of Differential Equations: Ordinary Differential Equations, I, year: 2004, number of pages: 197 s.
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On certain comparison theorems for half-linear dynamic equations on time scales
Abstr, Appl. Anal., year: 2004, volume: 2004, edition: 7
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On recessive and dominant solutions for half-linear difference equations
J. Difference Equ. Appl., year: 2004, volume: 10, edition: 9
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Oscillation and spectral properties of self-adjoint even order differential operators with middle terms
Electron. J. Qualit. Theor. Diff. Equ., Proc. 7th Coll. QTDE,, year: 2004