Now showing items 1-8 of 8

    • Analytic functions on time scales 

      Kapçak, Sinan (Izmir Institute of Technology, 2007)
      The concept of analyticity for complex functions on time scale complex plane was introduced by Bohner and Guseinov in 2005. They developed completely delta differentiability, delta analytic functions on products of two ...
    • Applications of Petri nets 

      Yılmaz, Buket (Izmir Institute of Technology, 2008)
      Petri nets are powerful formalism for modeling a wide range of dynamic systems and system behaviors. This thesis surveys the basic concept and application of Petri nets. The structure of Petri nets, their marking and ...
    • Dynamical systems on time scales 

      Dündar, Veli (Izmir Institute of Technology, 2007)
      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 ...
    • Edge coloring of a graph 

      Beşeri, Tina (Izmir Institute of Technology, 2004)
      The edge coloring problem is one of the fundamental problem on graphs which often appears in various scheduling problems like the le transfer problem on computer networks. In this thesis, we survey old and new results on ...
    • Measure theory on times scales 

      Deniz, Aslı (Izmir Institute of Technology, 2007)
      In this thesis, we have studied measure theory adapted to time scales. delta and nabla-measures were first defined by Guseinov in 2003, then in a further study, the relationship between Lebesgue delta-integral and Riemann ...
    • Oscillation theory for second order differential equations and dynamic equations on time scales 

      Yantır, Ahmet (Izmir Institute of Technology, 2004)
      This thesis provides the oscillation criteria for second order linear differential equations and dynamic equations on time scales. We establish the comparison theorems and oscillation criteria for selfadjoint and non-self ...
    • Probability theory applications on time scales 

      Kahraman, Sevcan (Izmir Institute of Technology, 2008)
      In this thesis we introduce probability theory adapted on time scales. In this study, we have modified some concepts of probability theory on time scales...Probability Function has been constructed on time scales. After ...
    • Vertex coloring of a graph 

      Bacak, Gökşen (Izmir Institute of Technology, 2004)
      Vertex coloring is the following optimization problem; given a graph, how many colors are required to color its vertices in such a way that no two adjacent vertices receive the same color? The required number of colors is ...