Lectures will be held in a mixed format: offline at the Sobolev Institute of Mathematics in room 213 and online at .
Schedule:
4 pm 鈥� 5:30 pm 鈥� Lecture 1
- Linear systems of ordinary differential equations. Integral representation of the solution. Fundamental matrix, Cauchy matrix and their properties. Stability with respect to initial data (according to Lyapunov, asymptotic, exponential, uniform asymptotic, uniform exponential). The relationship between different types of sustainability. Equivalence of uniform asymptotic and uniform exponential stability.
6 pm 鈥� 7:30 pm 鈥� Lecture 2
- Stability against external disturbances (on the right side). Equivalence of stability on the right-hand side of Lebesgue spaces and uniform exponential stability (Bohl 鈥� Perron theorems). Equations with summable coefficients.
