Systems of partial differential equations (PDE) and ordinary differential equations (ODE) are studied from
the point of view of Dynamical systems methods. Many problems from biology, chemistry, mechanics,
control, information transmission, economics and other fields are changing in time and so they can be
described by different types of Dynamical systems.
Differential equations form a tool that is frequently used for describing a great variety of dynamical systems.
The developed theory of differential equations gives a possibility to study different kinds of processes like those with a finite number of degrees of freedom (ordinary differential equations), systems with distributed
parameters (partial differential equations), systems with memory (d