Spectral properties of some non strongly regular boundary value problems for fourth order differential operators

Makhmud Abdysametovich Sadybekov, Meiram Erkanatuly Akhymbek

2014

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DOI 10.1063/1.4893822
Data confidence 85 high
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Abstract

In this paper, we consider some class of non strongly regular boundary value problems for fourth order differential operators. We obtain asymptotic formulas for eigenvalues and eigenfunctions of these boundary value problems. Then, using these asymptotic formulas, we prove that system of eigenfunctions does not form basis in L2(0,1).