Basis properties of the eigenfunctions of two-interval Sturm–Liouville problems
Sign Up to like & getrecommendations! Published in 2018 at "Analysis and Mathematical Physics"
DOI: 10.1007/s13324-018-0242-8
Abstract: In this paper a Sturm–Liouville equation together with eigenparameter-dependent boundary-transmission conditions are considered on two disjoint intervals. We construct the resolvent operator and Green’s function and obtain asymptotic approximate formulas for eigenvalues and corresponding eigenfunctions.… read more here.
Keywords: sturm liouville; eigenfunctions two; properties eigenfunctions; two interval ... See more keywords
Some properties of eigenfunctions for the equation of vibrating beam with a spectral parameter in the boundary conditions
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Differential Equations"
DOI: 10.1016/j.jde.2020.01.010
Abstract: Abstract In this paper we consider a spectral problem for ordinary differential equations of fourth order with the spectral parameter contained in three of the boundary conditions. We study the oscillatory properties of the eigenfunctions… read more here.
Keywords: eigenfunctions equation; boundary conditions; properties eigenfunctions; spectral parameter ... See more keywords