Theory of Differential Equations II


Doğru Akgöl S.

  • Level of Course: Postgraduate
  • Designed Lesson Code: MT573
  • Education Type: Formal Education (Day Education)
  • Course Scope: Theoric
  • Academic Year: 2025 - 2026
  • Lesson Content:

    Boundary Value Problems (BVPs); Linear Differential Operators; Boundary Conditions; Existence of Solutions to BVPs; Adjoint Problems; Eigenvalues ​​and Eigenfunctions for Linear Differential Operators; Green's Function of a Linear Differential Operator; Quasilinear Systems; Linearization; Non-linear Periodic Systems: Limit Sets; Poincare-Bendixon Theorem. Linearization Near Periodic Orbits; Method of Small Parameters in Non-Critical Cases; Orbital Stability. Bifurcation.