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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Diagonalization approach to discrete quadratic functionals
Archives of Inequalities and Applications, year: 2003, volume: 1, edition: 2
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Forced oscillation of second order linear and half-linear difference equations
Proc. Amer. Math. Soc., year: 2003, volume: 131, edition: 9
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Half-linear dynamic equations
Nonlinear Analysis and Applications: To V. Lakshmikantham on his 80th Birthday, Ravi P. Agarwal, Donal O'Regan editors, year: 2003, number of pages: 56 s.
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Minimal sets for quasilinear difference equations
Proceedings of CDDE 2002, year: 2003
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Nonnegativity of a discrete quadratic functional in terms of the (strengthened) Legendre and Jacobi conditions
Computers & mathematics with applications, year: 2003, volume: 45, edition: 6-9
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Nonnegativity of discrete quadratic functionals corresponding to symplectic difference systems
Linear Algebra and its Applications, year: 2003, volume: 375, edition: 1.12.2003
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Oscillation and nonoscillation of solutions to even order self-adjoint differential equations
Eletron. J. Differ. Equ., year: 2003, volume: 2003, edition: 4
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Phases of linear difference equations and symplectic systems
Math. Bohemica, year: 2003, volume: 128, edition: 3
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Positive semidefiniteness of discrete quadratic functionals
Proc. Edinburhg Math. Soc, year: 2003, volume: 46, edition: 3
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Recessive solution of half-linear second order difference equations
J. Difference Equ. Appl., year: 2003, volume: 9, edition: 1, DOI