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13D081KAD - The Quality Analysis of Difference Equations

Course specification
Course title The Quality Analysis of Difference Equations
Acronym 13D081KAD
Study programme Electrical Engineering and Computing
Module Applied Mathematics
Type of study doctoral studies
Lecturer (for classes)
Lecturer/Associate (for practice)
    Lecturer/Associate (for OTC)
      ESPB 9.0 Status elective
      Condition Mathematics 1, Mathematics 2
      The goal The objective of the course is to gain knowledge candidates about difference Eqs, master modern techniques of treating qualitative characteristics of solutions of difference Eqs, and the possibility of their application both in the theoretical and the practical problems posed by the practice in a variety of scientific and technical applications. There is a possibility of doctoral dissertations.
      The outcome Candidates trained in the use of modern techniques of treating qualitative properties of solutions of difference equations, and the possibilities of their application in both theoretical as well as the practical problems posed by the practice in a variety of scientific and technical applications. There is a possibility of doctoral dissertations.
      Contents
      Contents of lectures Introduction. Calculus of finite differences. First and higher order Eqs. Characteristics of qualitative analysis. Boundedness. Local and global stability. Global attractivity. Periodicity. Asymptotic behavior and dynamics of solutions. l^p affiliation. Chaos and attractors. Applications in science and engineering. Nonstandard Eqs. Systems. Discrete calculus of variations. Partial difference Eqs.
      Contents of exercises
      Literature
      1. Differential and Difference Equations, V. Marić, M. Budinčević, PMF, Novi Sad, 2005. (in Serbian)
      2. The quality analysis of some classes of difference equations, B. Iričanin, PMF, Novi Sad, 2009. (in Serbian)
      3. Difference Equations and Their Applications, A. N. Sharkovsky, Yu. L. Maistrenko, E. Yu. Romanenko, Kluwer, 1993.
      4. Global Behavior of Nonlinear Difference Equations of Higher Order with Applications, V. L. Kocic, G. Ladas, Kluwer, Dordrecht, 1993.
      5. An Introduction to Difference Equations, S. Elaydi, New York, Springer, 2005.
      Number of hours per week during the semester/trimester/year
      Lectures Exercises OTC Study and Research Other classes
      6
      Methods of teaching Traditional lectures on board with the use of computers
      Knowledge score (maximum points 100)
      Pre obligations Points Final exam Points
      Activites during lectures 10 Test paper 25
      Practical lessons Oral examination 25
      Projects
      Colloquia
      Seminars 40