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
2011
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Critical oscillation constant for half-linear differential equations with periodic coefficients
Annal. Mat. Pura Appl., year: 2011, volume: 190, edition: 3
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Positive solutions of third order damped nonlinear differential equations
Mathematica Bohemica, year: 2011, volume: 136/2011, edition: 2
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Unbounded solutions of third order delayed differential equations with damping term.Central
Centr. Eur. J. Math., year: 2011, volume: 9/2011, edition: 1
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Variational technique and principal solution in half-linear oscillation criteria
Appl. Math. Comput., year: 2011, volume: 217, edition: 12
2010
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A remark on an oscillation constant in the half-linear oscillation theory
Appl. Math. Letters, year: 2010, volume: 23, edition: 9
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Abstract Book of CDEIT 2010
Year: 2010, type:
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Colloquium on Differential Equations and Integration Theory
Year: 2010, type: Conference
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Half-linear oscillation criteria: Perturbation in term involving derivative
Nonlinear Anal., year: 2010, volume: 73, edition: 10
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On second-order differential equations with nonhomogeneous Phi-Laplacian,
Boundary Value Problems, year: 2010, volume: 2010, edition: ID 875675
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Oscillation for third-order nonlinear differential equations with deviating argument.
Abstract and Applied Analysis, year: 2010, volume: 2010, edition: 278962