Academic Catalog


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:
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.