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
2007
-
Oscillation and nonoscillation of perturbed half-linear Euler differential equations
Publ. Math. Debrecen, year: 2007, volume: 71, edition: 3-4
-
The strong nonlinear limit-point/limit-circle properties for sub-half-linear equations
Dynamic Systems and Applications, year: 2007, volume: 15, edition: 3-4
2006
-
A remark on the linearization technique in half-linear oscillation theory
Opuscula Math., year: 2006, volume: 26, edition: 2
-
Asymptotic properties for half-linear difference equations
Math. Bohemica, year: 2006, volume: 131, edition: 3
-
Asymptotic properties of an unstable two-dimensional differential system with delay
Mathematica Bohemica : časopis pro pěstování matematiky, year: 2006, volume: 131, edition: 3
-
Corrigendum to ``Half-linear equations and characteristic properties of the principal solution''
J. Differential Equations, year: 2006, volume: 221, edition: 2
-
Embedding of Linear Hamiltonian Systems on Small Time Scales.
Dynamic Systems and Applications, year: 2006, volume: 15, edition: 15
-
Hille-Wintner type comparison criteria for half-linear second order differential equations
Arch. Math., year: 2006, volume: 42, edition: 2
-
Integral conditions for nonoscillation of second order nonlinear differential equations
Nonlin. Anal., year: 2006, volume: 64, edition: 5
-
Linearization techniques and oscillation of half-linear differential equations
Stud. Univ. Žilina Math. Ser., year: 2006, volume: 20, edition: 1