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

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
Faculty of Mechanical Engineering 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 halflinear and quasilinear differential equations, the existence of bounded, positive and globally continuable solutions for delay differential systems and the stability theory for twodimensional 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
2013

Mathematical model for cancer prevalence and cancer mortality
Taurida Journal of Computer Science Theory and Mathematics, year: 2013, volume: 2013, edition: 2
2012

A route to Routh—the parametric problem.
Acta Applicandae Mathematicae, year: 2012, volume: 117, edition: 1, DOI

Asymptotic behaviour of solutions of real twodimensional differential system with nonconstant delay in an unstable case
Electronic Journal of Qualitative Theory of Differential Equations, year: 2012, volume: Neuveden, edition: 8

On some boundary value problems for second order nonlinear differential equations
Math. Bohemica, year: 2012, volume: 137, edition: 2

On the Routh reduction of variational integrals. Part 1: The classical theory.
WSEAS TRANSACTIONS on MATHEMATICS, year: 2012, volume: 11, edition: 5
2011

A boundary value problem on a halfline for differential equations with indefinite weight
Commun. Appl. Anal., year: 2011, volume: 15, edition: 24

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

A routhe to Routh  the classical setting
Journal of Nonlinear Mathematical Physic, year: 2011, volume: 18, edition: 1, DOI

An asymptotic formula for solutions of nonoscillatory halflinear differential equations
Arch. Math., year: 2011, volume: 47, edition: 1

Asymptotic behaviour of a twodimensional differential system with a nonconstant delay under the conditions of instability
Mathematica Bohemica, year: 2011, volume: 136, edition: 2