Title of article :
Asymptotic behavior of eigenvalues of a boundary value problem for Sturm-Liouville operator equation with a spectral parameter in one of the boundary conditions
Author/Authors :
Aliev, Bahram A. Institute of Mathematics and Mechanics of NAS of Azerbaijan, Baku, Azerbaijan , Adjalova, Nahida A. Azerbaijan State Pedagogical University, Baku, Azerbaijan
Abstract :
In separable Hilbert space H we consider asymptotic behavior of eigenvalues of a boundary value problem for Sturm-Liouville operator equation on a finite segment in the case when one and
the same spectral parameter linearly particientering the equation and one of the boundary condition.
Asymptotic formula of eigenvalues of the considered boundary value problem is obtained.
Keywords :
Sturm-Liouville operator , equation , spectral parameter , asymptotical behavior of eigenvalues
Journal title :
Transactions Issue Mathematics, Azerbaijan National Academy of Sciences
