Project information
Oscillatory and asymptotic properties of solutions of differential equations
- Project Identification
- GA201/08/0469
- Project Period
- 1/2008 - 12/2010
- Investor / Pogramme / Project type
-
Czech Science Foundation
- Standard Projects
- MU Faculty or unit
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Faculty of Science
- prof. RNDr. Zuzana Došlá, DSc.
- doc. RNDr. Ladislav Adamec, CSc.
- prof. RNDr. Miroslav Bartušek, DrSc.
- prof. RNDr. Ondřej Došlý, DrSc.
- doc. RNDr. Josef Kalas, CSc.
- Mgr. Ing. Eva Pekárková, Ph.D.
- Mgr. František Plaček
- Keywords
- asymptotic properties, oscillatory properties
- Cooperating Organization
-
Brno University of Technology
- Responsible person Doc. RNDr. Jan Čermák, CSc.
The principal concern of the project are asymptotic and oscillatory properties of solutions of ordinary and functional differential equations. A particular attention will be devoted to the problem of asymptotic and oscillatory properties of second order half-linear and quasilinear differential equations, the existence of bounded, positive and globally continuable solutions for delay differential systems and the stability theory for two-dimensional delay systems. The attention will be also paid to the asymptotic theory of first order dynamic equations as a natural unification of the theory for differential and difference equations.
Publications
Total number of publications: 34
2010
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Oscillatory properties of second order nonlinear differential equations.
Rocky Mountain J. Math., year: 2010, volume: 40, edition: 2
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Regularly varying solutions of second order difference equations with arbitrary sign coefficient
Adv. Difference Equ., year: 2010, volume: 2010, edition: ID 673761, DOI
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Strong nonlinear limit-point/limit-circle properties for second order differential equations with delay
Panamer. Math. J., year: 2010, volume: 20/2010, edition: 1
2009
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Asymptotic behaviour of solutions of real two-dimensional differential system with nonconstant delay.
Archivum Mathematicum, year: 2009, volume: vol. 45, edition: issue 3,
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Asymptotic problems for differential equations with bounded Phi-Laplacian
Electronic Journal of Qualitative Theory of Differential Equations, year: 2009, volume: 2009, edition: Sp. Iss.I
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Bargmann-type inequality for half-linear differential operators
J. Inequal. Appl., year: 2009, volume: 2009, edition: ID 104043
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International Conference on Differential Equations and Their Applications (Equadiff 12)
Year: 2009, type: Conference
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On noncontinuable solutions of differential equations with delay
Electronic Journal of Qualitative Theory of Differential Equations, year: 2009, volume: Spec.Ed.I, edition: 6
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On oscillation and nonoscillation properties of Emden-Fowler difference equations
Central European Journal of Mathematics, year: 2009, volume: 7 (2009), edition: 2
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Oscillatory properties of second order nonlinear differential equations
Nonlinear Analysis, Theory, Methods & Applications, year: 2009, volume: 71, edition: 12, DOI