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DIFFERENTIAL EQUATIONS AND STABILITY THEORY
Code: 34555
ECTS: 4
Lecturers in charge: prof. dr. sc. Vesna Županović
Take exam: Studomat
English level:

0,0,0

The lecturer is not able to offer courses in English at this time.
Load:
Lecture typeTotal
Lectures 45
* Load is given in academic hour (1 academic hour = 45 minutes)
Description:
Linear systems of differential equations. Equilibrium points. Classification of phase portraits. Stability . Nonlinear systems. Periodic solutions and limit cycles. Energy method. Ljapunov stability and instability theorems. Robustness of systems. Bifurcations. Types and classification of partial differential equations of the second order. Heat conduction equation. Wave equation. Laplace equation.
Literature:
  1. Differential Equations and Dynamical Systems; Lawrence Perko; Springer; 2001; ISBN: ISBN 0-387-95116-4
  2. Nonlinear Dynamics and Chaos, With Applications to Physics, Biology, Chemistry, and Engineering; Steven H. Strogatz; Perseus Books Publishihg; 2000; ISBN: 0738204536, 9780738204536
  3. Partial Differential Equations for Scientists and Engineers Stanley J. Farlow John Wiley & Sons 1982; Stanley J. Farlow; Stanley J. Farlow John Wiley & Sons; 1982; ISBN: ISBN 0-486-67620-X
  4. Diferencijalne jednadžbe i teorija stabilnosti; Luka Korkut, Vesna Županović; Element; 2009; ISBN: ISBN 978-953-197-559-9
  5. Fundamentals of Differential Equations and Boundary Value Problems; R. Kent Nagle, Edward B. Saff; Addison-Wesley Publishing Company; 1996; ISBN: ISBN 0-201-80879-X
2. semester
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