On the Neumann problem for Sturm-Liouville equation with self-similar Cantor type weight

Details On the Neumann problem for Sturm-Liouville equation with self-similar Cantor type weight On the Neumann problem for Sturm-Liouville equation with self-similar Cantor type weight

2011-02-21

arxiv.org/abs/1102.4199v2

Mathematics

Spectral Theory

13 pages, 3 tables

Scientific paper

Sturm-Liouville problem with generalized derivative of self-similar Cantor type function as a weight is considered. Under Neumann and mixed boundary conditions the oscillating properties of the eigenfunctions are studied. The spectral asymptotics are made more precise then in previous papers. Namely, it is shown that for known asymptotics $N(\lambda)=\lambda^D\cdot [s(\ln\lambda)+o(1)]$ the function $s$ is a product of decreasing exponent and nondecreasing purely singular function (and hence it is not constant).

Affiliated with

Also associated with

No associations

Rating

On the Neumann problem for Sturm-Liouville equation with self-similar Cantor type weight 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 On the Neumann problem for Sturm-Liouville equation with self-similar Cantor type weight, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the Neumann problem for Sturm-Liouville equation with self-similar Cantor type weight will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-520498