We consider resonances for the beam equation on the half-line. We assume that the coefficients of this equation are constants outside a finite interval. We show that this equation has no eigenvalues and resonances iff the coefficients are constants on the whole half-line. Moreover, we get estimates of the counting function of resonances and describe the forbidden domain. In order to obtain these results, we consider resonances for a standard fourth order differential operator on the half-line with compactly supported coefficients.
Original languageEnglish
Title of host publicationDays on Diffraction
Subtitle of host publicationProceedings
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages218-222
ISBN (Electronic)9781509058006
ISBN (Print)9781509058013
StatePublished - 2016
Event2016 International Conference Days on Diffraction, DD 2016 - St. Petersburg, Russian Federation
Duration: 27 Jun 20161 Jul 2016

Conference

Conference2016 International Conference Days on Diffraction, DD 2016
Country/TerritoryRussian Federation
CitySt. Petersburg
Period27/06/161/07/16

    Research areas

  • eigenvalues and eigenfunctions, Scattering, Diffraction, boundary conditions, Standards

ID: 7594599