Project information
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 p-Laplacian, 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
p-Laplacian, 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
2006
-
On oscillatory solutions of quasilinear differential equations
J. Math. Anal. Appl., year: 2006, volume: 320, edition: 2
-
On singular solutions of a second order differential equation
Electronic Journal of Qualitative Theory of Differential Equations, year: 2006, volume: 2006, edition: 8
-
Oscillation and nonoscillation criteria for half-linear second order differential equations
Hiroshima Math. J., year: 2006, volume: 36, edition: 2
-
Perturbations of half-linear Euler-Weber type differential equations
J. Math. Anal. Appl., year: 2006, volume: 323, edition: 1
-
The Nonlinear Limit-Point/Limit-Circle Problem for Second Order Equations with P-Laplacian
Dynamic Systems and Applications, year: 2006, volume: 14, edition: 1
2005
-
A remark on Liouville's formula on small time scales.
Journal of Mathematical Analysis and Applications, year: 2005, volume: 304, edition: 2
-
Asymptotic behaviour of a two-dimensional differential system with delay under the conditions of instability
Nonlinear Analysis, Theory, Methods & Applications, year: 2005, volume: 62, edition: 2
-
Half-Linear Differential Equations
Year: 2005, number of pages: 517 s.
-
Half-linear differential equations with oscillating coefficient
Differential Integral Equations, year: 2005, volume: 18, edition: 11
-
Half-linear equations and characteristic properties of principal solution
J. Differential Equations, year: 2005, volume: 208, edition: 2