@article{Aliev_Kurbanova_Yakubov_2017, title={On one boundary-value problem for elliptic
differential-operator equations of the second order with quadratic spectral parameter}, volume={69}, url={https://umj.imath.kiev.ua/index.php/umj/article/view/1732}, abstractNote={The problem of solvability of a boundary-value problem for a differential-operator equation of the second order on a
finite interval is studied in a complex separable Hilbert space H in the case where the same spectral parameter appears
in the equation in the form of a quadratic function and in the boundary conditions in the form of a linear function and,
moreover, the boundary conditions are not separated. The asymptotic behavior of the eigenvalues of one homogeneous
abstract boundary-value problem is also investigated. The asymptotic formulas for the eigenvalues are obtained and an
application of the obtained results to partial differential equations is analyzed.}, number={6}, journal={Ukrainsâ€™kyi Matematychnyi Zhurnal}, author={Aliev, B. A. and Kurbanova, N. K. and Yakubov, Ya.}, year={2017}, month={Jun.}, pages={734-750} }