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Seminar 1.12.2016: Mihaly Pituk

PostPosted: Tue Nov 15, 2016 11:08 am
by quittner
Seminár z kvalitatívnej teórie diferenciálnych rovníc
Seminar on Qualitative Theory of Differential Equations

Thursday 1.12.2016 at 14:00 Lecture room M-223

Mihály Pituk (University of Pannonia, Veszprém):
Lyapunov Exponents of Positive Solutions
of a Perturbed System of Delay Differential Equations

We will consider perturbations of a linear system of autonomous
delay differential equations. According to a Perron type theorem,
if the Lyapunov exponent of a solution is finite, then it is equal
to the real part of one of the eigenvalues of the unperturbed linear part.
In this talk we will show that if in addition the solution is positive
then its Lyapunov exponent is a real eigenvalue of the linear part with
a positive eigenfunction.