E. Karulina

activity

20122017

most citedThe Sturm--Liouville problem with singular potential and the extrema of the first eigenvalue

4 citations · 4 across the 3 of their papers we have counts for

collaborators

3 papers

math.CA2017

The extrema of the first eigenvalue of the Sturm--Liouville problem with third-type boundary conditions

E. S. Karulina

We get the infima and suprema of the first eigenvalue of the problem $y^{''} + q y + λ y = 0$ , $y^{'} (0) - k_{0}^{2} y (0) = y^{'} (1) + k_{1}^{2} y (1) = 0$ , where $q$ belongs to the set of nonnegative…

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 $λ_{1} (q_{*})$ …

math.CA2012★ 4 cited

The Sturm--Liouville problem with singular potential and the extrema of the first eigenvalue

E. S. Karulina, A. A. Vladimirov

On the basis of the theory of Sturm--Liouville problem with distribution coefficients we get the infima and suprema of the first eigenvalue of the problem $-y" + (q-λ) y=0, y'(0) -…