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
2003
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Regular half-linear second order differential equations
Arch. Math., year: 2003, volume: 39, edition: 3
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Riccati inequality, disconjugacy, and reciprocity principle for linear Hamiltonian dynamic systems
Dynamic Systems and Applications, year: 2003, volume: 12, edition: 1-2
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Symplectic difference systems: variable stepsize discretization and discrete quadratic functionals
Linear Algebra and its Applications, year: 2003, volume: 367, edition: 1
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Symplectic dynamic systems
Advances in Dynamic Equations on Time Scales, M. Bohner and A. Peterson, editors, year: 2003, number of pages: 48 s.
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The application of Picone-type identity for some nonlinear ellipric partial differential equations
Acta Math. Univ. Comenianae, year: 2003, volume: 72, edition: 1
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Unbounded solutios of quasi-linear difference equations
Comput. Math. Appl., year: 2003, volume: 45, edition: 10-11
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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Comparison theorems for linear dynamic equations on time scales
Journal of Mathematical Analysis and Applications, year: 2002, volume: 275, edition: 1, DOI
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Coupled intervals in the discrete calculus of variations: necessity and sufficiency
Journal of Mathematical Analysis and Applications, year: 2002, volume: 276, edition: 1
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Discrete optimal control: second order optimality conditions
Journal of Difference Equations and Applications, year: 2002, volume: 8, edition: 10