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
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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: 35
2013
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Mathematical model for cancer prevalence and cancer mortality
Taurida Journal of Computer Science Theory and Mathematics, year: 2013, volume: 2013, edition: 2
2012
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A route to Routh—the parametric problem.
Acta Applicandae Mathematicae, year: 2012, volume: 117, edition: 1, DOI
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Asymptotic behaviour of solutions of real two-dimensional differential system with nonconstant delay in an unstable case
Electronic Journal of Qualitative Theory of Differential Equations, year: 2012, volume: Neuveden, edition: 8
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On some boundary value problems for second order nonlinear differential equations
Math. Bohemica, year: 2012, volume: 137, edition: 2
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On the Routh reduction of variational integrals. Part 1: The classical theory.
WSEAS TRANSACTIONS on MATHEMATICS, year: 2012, volume: 11, edition: 5
2011
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A boundary value problem on a half-line for differential equations with indefinite weight
Commun. Appl. Anal., year: 2011, volume: 15, edition: 2-4
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A Note on Continuous Dependence of Solutions of Dynamic Equations on Time Scales.
Journal of Difference Equations and Applications, year: 2011, volume: 17, edition: 5
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A routhe to Routh -- the classical setting
Journal of Nonlinear Mathematical Physic, year: 2011, volume: 18, edition: 1, DOI
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An asymptotic formula for solutions of nonoscillatory half-linear differential equations
Arch. Math., year: 2011, volume: 47, edition: 1
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Asymptotic behaviour of a two-dimensional differential system with a nonconstant delay under the conditions of instability
Mathematica Bohemica, year: 2011, volume: 136, edition: 2