22 citations · 70 across the 24 of their papers we have counts for
9 papers · 1 filter
On majorants of eigenvalues of Sturm-Liouville problems with potentials from balls of weighted spaces
A. A. Vladimirov
It is constructively proved that for class , where is uniformly positive weight and , the…
Some remarks on integral parameters of Wiener process
A. A. Vladimirov
We consider integrals , where is Wiener process and is generalized function from some class of multipliers. In the case when multiplier belongs to…
On some class of singular Sturm-Liouville problems
A. A. Vladimirov
Sturm-Liouville spectral problem for equation with generalized functions , and is considered. It is shown that the problem may be reduced to analo…
Spectral and oscillation properties for a linear pencil of fourth-order differential operators
J. Ben Amara, A. A. Shkalikov, A. A. Vladimirov
The present paper deals with the spectral and the oscillation properties of a linear pencil . Here and are linear operators generated by the differential expressions…
Method of oscillation and spectral problem for four-order differential operator with self-similar weight
A. A. Vladimirov
Self-adjoint boundary problems for the equation with generalized derivative of self-similar Cantor type function as a weight are considered. Us…
On the Neumann problem for Sturm-Liouville equation with self-similar Cantor type weight
A. A. Vladimirov, I. A. Sheipak
Sturm-Liouville problem with generalized derivative of self-similar Cantor type function as a weight is considered. Under Neumann and mixed boundary conditions the oscillating prop…