This article is cited in 4 papers

Oscillation Properties of a Multipoint Fourth-Order Boundary-Value Problem with Spectral Parameter in the Boundary Condition

A. A. Vladimirov^a, E. S. Karulina<sup>b

a</sup> Federal Research Center "Computer Science and Control" of Russian Academy of Sciences, Moscow
^b Plekhanov Russian State University of Economics, Moscow

Abstract: A multipoint fourth-order boundary-value problem with spectral parameter in the boundary condition is considered. It is proved that its spectrum is simple and the system of derivative eigenfunctions has oscillation properties.

Keywords: oscillation eigenfunction, sign-regular operator, Sobolev space.

UDC: 517.927+517.984

Received: 02.07.2019

DOI: 10.4213/mzm12502

 English version: Mathematical Notes, 2019, 106:6, 899–903

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