Impulsive initial value problem for ordinary differential equations

- Formulation of impulsive initial value problem, basic types of impulses.

- Description of methods for investigation of the existence of solutions of these problems.

- A list of known existence theorems.

- Construction of own illustrative examples.

- Diploma thesis for the competition SVOČ "O cenu děkana" could contain a derivation and a proof

of own existence theorem.

Literature:

V. Lakshmikantham, D.D. Bainov, P.S.Simeonov: Theory of Impulsive Differential Equations, World Scientific, Singapore 1989.

A.M. Samoilenko, N.A.Perestyuk: Impulsive Differential Equations, World Scientific, Singapore 1995.

M. Akhmet: Principles of Discontinuous Dynamical Systems, Springer, New York 2010.

Papers in mathematical journals.

For students of the study course MAP