Mihaly Pituk professor
E-mail: pituk.mihaly@mik.uni-pannon.hu
Topics covered:
Phase space and trajectories. Existence and uniqueness. Dependence on initial data. Continuation of the solutions. Linear delay differential and difference equations. Oscillation of the solutions. Stability theory. Lyapunov’s method, invariance principle. Existence of periodic solutions. Biological, mechanical and other applications.
Literature:
R. D. Driver: Ordinary and Delay Differential Equations, Spriger-Verlag, New York, 1977
S. Elaydi: An Introduction to Difference Equations, Springer-Verlag, New York, 2005
J. Hale: Theory of Functional Differential Equations, Springer-Verlag, New York, 1977
H. Smith: Introduction to Delay Differential Equations with Applications to Life Sciences, Springer-Verlag, New York, 2011