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
2002
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Half-linear dynamic equations on time scales: IVP and oscillatory properties
Nonlinear Functional Analysis and Applications, year: 2002, volume: 7, edition: 3
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Half-linear Hartman-Wintner theorems
Stud. Univ. Žilina Math. Ser., year: 2002, volume: 15, edition: 1
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Nonoscillatory solutions for nonlinear discrete systems
Proceedings of Equadiff 10 (CD ROM), year: 2002
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On decay of coupled nonlinear differential systems
Advances in Mathematical Sciences and Applications, year: 2002, volume: 12, edition: 2
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Oscillation theory of linear differential and difference equations
Proceedings of Seminar ``Differential Equations 2002'', Palava 2002, year: 2002
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Second order sufficiency criteria for a discrete optimal control problem
Journal of Difference Equations and Applications, year: 2002, volume: 8, edition: 6
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The Picone identity for a class of partial differential equations
Math. Bohem., year: 2002, volume: 127, edition: 4
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Zero convergent solutions for a class of p-laplacian systems
Proceedings of Equadiff 10 (CD ROM), year: 2002