One Boundary-Value Problem for Elliptic Differential-Operator Equations of the Second Order with Quadratic Spectral Parameter

被引：0
作者：
B. A. Aliev
N. K. Kurbanova
Ya. Yakubov
机构：
[1] Institute of Mathematics and Mechanics,School of Mathematical Sciences
[2] Azerbaijan National Academy of Sciences,undefined
[3] Tel-Aviv University,undefined
来源：
Ukrainian Mathematical Journal | 2017年 / 69卷
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学科分类号：
摘要：
The problem of solvability of boundary-value problems for differential-operator equations 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 quadratically 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 the possibility of application of the obtained results to partial differential equations is analyzed.
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页码：857 / 875
页数：18
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