Topic of doctoral theses

Asymptotics and oscillation of dynamic equations

Supervisor: prof. Mgr. Pavel Řehák, Ph.D.
Description:
We shall study qualitative properties of various second order and higher order nonlinear differential equations, which arise from aplications (including, e.g., the equations with a (generalized) Laplacian). The research will be focused, for example, on obtaining asymptotic formulae for solutions or establishing new oscillation criteria. We shall deal not only with differential equations but also with their discrete (or time scale) analogues. This will enable us to compare and explain similaritities between the continuous case and some of its discretization, to get an extension to new time scales, or to obtain new results e.g. in the classical discrete case through a suitable transformation to other time scale.
Year Programme Branch Specialisation Mode Language Status
2019/20 D4P-P D-APM F cs Approved by branch committee