2/11/2011-12/11/2011 Professor Akhmet Marat (Ankara, Turkey, Middle East Technical University) lessons

Date

Type of the work

Duration

Time

02.11.

2011

Discontinuous dynamical systems and real world problems.

2

10.20-15.55

Solution of impulsive differential equations

2

12.20-14.05

Consultation

2

15.05-17.00

03.11.

2011

Description of differential equations with fixed moments of impulses.

2

10.20-12.15

Spaces of piecewise continuous functions. Equivalent integral equations.

2

12.20-14.05

Consultation

2

15.05-17.00

04.11.

2011

Existence and uniqueness of solutions. Dependence of solutions on initial data.

2

10.20-12.15

Continuous dependence of solutions on the right-hand-side. Existence and uniqueness of solutions.

2

12.20-14.05

Consultation

2

15.05-17.00

05.11.

2011

Lyapunov Stability.

2

10.20-12.15

Definitions of stabilty.

2

12.20-14.05

Consultation

2

15.05-17.00

07.11.

2011

Periodic solutions.

2

10.20-12.15

Linear homogeneous and non-homogeneous systems.

2

12.20-14.05

Consultation

2

15.05-17.00

08.11.

2011

Linear systems of impulsive differential equations.

2

10.20-12.15

The Poincare map. Periodic solutions. Linear periodic systems.

2

12.20-14.05

Consultation

2

15.05-17.00

09.11.2011

Description of differential equations with non- fixed moments of impulses.

2

10.20-12.15

The topology on the set of discontinuous functions. B-equivalence.

2

12.20-14.05

Consultation

2

15.05-17.00

10.11.

2011

Existence and uniqueness of solutions of differential equations with non- fixed moments of impulses.

2

10.20-12.15

Beating phenomena.

2

12.20-14.05

Consultation

2

15.05-17.00

11.11.

2011

Beating phenomena.

2

10.20-12.15

Continuous dependence of solutions on parameters.

2

12.20-14.05

Consultation

2

15.05-17.00

12.11.

2011

Stability of systems with variable moments of impulses.

2

10.20-12.15

Differentiable dependence of solutions

on parameters.

2

12.20-14.05

Consultation

2

15.05-17.00

Итого

60