E. S. Karulina

collaborators

2 papers

math.CA2019

Oscillation properties of one boundary problem of fourth order with a spectral parameter in the boundary conditions

A. A. Vladimirov, E. S. Karulina

For one boundary problem of fourth order with a spectral parameter in the boundary condition we prove the simplicity of the spectrum and the oscillation properties of the system of…

math.CA2014

On a lower a priori estimate of minimal eigenvalue of one Sturm-Liouville problem with second-type boundary conditions

A. A. Vladimirov, E. S. Karulina

It is proved that for class $A_{γ} = {q \in L_{1} [0, 1] : q \geq 0, \int_{0}^{1} q^{γ} d x = 1}$ , where $γ \in (0, 1)$ , there exists a potential $q_{*} \in A_{γ}$ such that minimal eigenvalue $λ_{1} (q_{*})$ …