English

On the sign-regularity of positive fourth-order differential operators

Classical Analysis and ODEs 2016-01-26 v2 Spectral Theory

Abstract

It is shown that positivity in (0,1)×(0,1)(0,1)\times (0,1) of Green function of positively defined fourth-order ordinary differential operator (with separated boundary conditions) is a criterium of sign-regularity of this operator.

Keywords

Cite

@article{arxiv.1601.05984,
  title  = {On the sign-regularity of positive fourth-order differential operators},
  author = {A. A. Vladimirov},
  journal= {arXiv preprint arXiv:1601.05984},
  year   = {2016}
}

Comments

6 pages, in Russian