DOI: 10.5937/matmor2601071p ISSN: 1450-5932
On the regularized trace formula for a Sturm-Liouville boundary value problem with two delays and two potentials
Nataša Pavlović-KomazecThis paper is devoted to a Sturm-Liouville boundary value problem with two constant delays τ1,τ2 ∈ [π/3,π) and two potentials q1,q2 ∈ L2[0,π]. We derive an asymptotic expansion of the characteristic function and obtain asymptotic formulas for the eigenvalues. Using the Lidskii-Sadovnichii contour integration method, we establish an explicit formula for the first regularized trace of the corresponding operator.