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: 34
2009
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Principal and nonprincipal solutions in the oscillation theory of half-linear differential equations
Stud. Univ. Žilina Math. Ser., year: 2009, volume: 23, edition: 4
2008
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Asymptotic properties of a two-dimensional differential system with a bounded nonconstant delay under the conditions of instability
Far East Journal of Mathematical Sciences, year: 2008, volume: 29, edition: 3
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Existence of global solutions for systems of second-order functional-differential equations with p-Laplacian
EJDE, year: 2008, volume: 2008, edition: 40
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The strong nonlinear limit-point/limit-circle properties for a class of even order equations
Commun.Appl.Nonlin.Anal., year: 2008, volume: 15, edition: 3