Academic Catalog

MATH723 INT.TO DELAY DIFF.EQUATIONS

Course Code: 2360723
METU Credit (Theoretical-Laboratory hours/week): 3(3-0)
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

Differential equations with deviating arguments: examples and applications. Integrable delay differential equations. The method of steps is the primary method for the qualitative analysis. Existence and uniqueness theorems. Classification: delay. advanced. and neutral types of differential equations with deviating arguments. Piecewise constant deviation of argument as a powerful instrument for modelling and analysis. Linear systems with constant and variable coefficients and deviation of arguments. Stability methods of investigation: linearization and Lyapunov's second method. Periodic systems and solutions.