Dynamical Systems on Time Scales
tarafından
Dundar, Veli
Başlık
:
Dynamical Systems on Time Scales
Yazar
:
Dundar, Veli
Yazar Ek Girişi
:
Dundar, Veli
Yayın Bilgileri
:
[s.l.]: [s.n.], 2007.
Fiziksel Tanımlama
:
vi, 51 leaves.: ill.+ 1 computer laser optical disc.
Özet
:
In this thesis, we have studied dynamical systems on time scales. Firstly, we give basic definitions and theorems about the time scales and dynamical systems. We present Floquet theory and stability criterion on periodic discrete Hamiltonian systems. We introduce the Hilger complex plane and exponential function on time scales. This exponential function is shown to satisfy an initial value problem involving a first order linear dynamic equation. Uniqueness and existence theorems are presented. And then we give stability criterion, Lyapunov transformations and a unified Floquet theory for periodic time scales. We try to collect studies (Bohner and Peterson 2001), (Dacunha 2005), (Ahlbrandt and Ridenhour 2003) about Dynamical Systems On Time Scales.
Konu Başlığı
:
Dynamics -- Mathematical models.
Differentiable dynamical systems.
Yazar Ek Girişi
:
Ufuktepe, Ünal
Tüzel Kişi Ek Girişi
:
İzmir Institute of Technology. Mathematics.
Tek Biçim Eser Adı
:
Thesis (master)--İzmir Institute of Technology: Mathematics.
İzmir Institute of Technology: Mathematics--Thesis (master).
Elektronik Erişim
:
Library | Materyal Türü | Demirbaş Numarası | Yer Numarası | Durumu/İade Tarihi |
---|
IYTE Library | Tez | T000648 | QA845 .D91 2007 | Tez Koleksiyonu |