Limited properties of solutions of differential equations
 Project Identification
 IAA1163401
 Project Period
 1/2004  12/2006
 Investor / Pogramme / Project type

Academy of Sciences of the Czech Republic
 Grants of distinctly investigative character focused on the sphere of research pursued at present particularly in the ASCR
 MU Faculty or unit
 Faculty of Science
 Keywords
 ordinary differential equations with pLaplacian, Hamiltonian systems, asymptotic and oscillatory properties, functional differential equations with deviating argument, stability.
The project is focused on the investigation of limit properties of
ordinary and functional differential equations. It is linked with
similar problems investigated last years. The following topics are the
main goal of the project: asymptotic and oscillatory properties of
solutions of ordinary second order differential equations with
pLaplacian, singular solutions of nonlinear higher order differential
equations and transformations of Hamiltonian systems and of linear
higher order differential equations. Further effort is devoted to the
study of asymptotic properties of functional differential equations with
deviating arguments and to stability problems.
Publications
Total number of publications: 33
2010

Asymptotic behaviour of a twodimensional differential system with nonconstant delay
Mathematische Nachrichten, year: 2010, volume: 283/2010, edition: 6
2008

A remark on power comparison theorem for halflinear differential equations
Math. Bohem., year: 2008, volume: 133, edition: 2
2007

A Sturmian separation theorem for symplectic difference systems
J. Math. Anal. Appl., year: 2007, volume: 325, edition: 2

A Theorem of Wa\.zewski and Dynamic Equations on Time Scales
Journal of Difference Equations and Applications, year: 2007, volume: 13, edition: 1

Asymptotic properties of a twodimensional differential system with delay
Proceedings of Equadif11, year: 2007

Halflinear differential equations: Linearization technique and its application
J. Math. Anal. Appl., year: 2007, volume: 335, edition: 2

Limit and integral properties of principal solutions for halflinear differential equations
Arch. Math. (Brno), year: 2007, volume: 43, edition: 1

On intermediate solutions and the Wronskian for halflinear differential equations
J. Math. Anal. Appl., year: 2007, volume: 336, edition: 2

On nonnegative solutions of singular boundaryvalue problems for EmdenFowlertype differential systems
Differential Integral Equations, year: 2007, volume: 20, edition: 10

On Transition Mapping of $n$dimensional Systems with Constraints.
Colloquium on Differential and Difference Equations, CDDE 2006, year: 2007