MATH589 IMPULSIVE DIFFERENTIAL EQUATIONS
| Course Code: |
2360589 |
| METU Credit (Theoretical-Laboratory hours/week): |
3(0-0) |
| ECTS Credit: |
8.0 |
| Department: |
Mathematics |
| Language of Instruction: |
English |
| Level of Study: |
Graduate |
| Course Coordinator: |
Prof.Dr. MARAT AKHMET |
| Offered Semester: |
Fall Semesters. |
Course Content
General description of impulsive differential equations: Systems with fixed moments of impulses; systems with variable moments of impulses; discontinuous dynamical systems. Linear systems: General properties of solutions; periodic solutions; Floquet theory; adjoint systems. Stability: Stability criterion based on linearization of systems; direct Lyapunov method; B-equivalence; stability of systems with variable time of impulses. Quasilinear systems: Bounded solutions; periodic solutions; quasiperiodic and almost periodic solutions; integral manifolds. Discontinuous dynamical systems and applications.
