'Wave type' spectrum of the Gurtin-Pipkin equation of the second order

Details 'Wave type' spectrum of the Gurtin-Pipkin equation of the second order 'Wave type' spectrum of the Gurtin-Pipkin equation of the second order

2010-02-15

arxiv.org/abs/1002.2831v2

Mathematics

Complex Variables

Two typos are corrected

Scientific paper

We study the complex part of the spectrum of the the Gurtin-Pipkin integral-differential equation of the second order in time. We consider the model case when the kernel is a sum of exponentials $a_k\exp(-b_k)$ with $a_k=1/k^\a$, $b_k=k^\b$. We show that there are two complex sequences of points of the spectrum asymptotically close to the spectrum points of the wave equation.

Affiliated with

Also associated with

No associations

Rating

'Wave type' spectrum of the Gurtin-Pipkin equation of the second order does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with 'Wave type' spectrum of the Gurtin-Pipkin equation of the second order, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and 'Wave type' spectrum of the Gurtin-Pipkin equation of the second order will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-145844