Solvability of the boundary-value problem for the second-order elliptic differential-operator equation with spectral parameter in the equation and boundary conditions

被引:0
作者
B. A. Aliev
机构
[1] Azerbaijan National Academy of Sciences,Institute of Mathematics and Mechanics
来源
Ukrainian Mathematical Journal | 2010年 / 62卷
关键词
Banach Space; Spectral Parameter; Separable Hilbert Space; Order Linear Differential Equation; Nonlocal Elliptic Problem;
D O I
暂无
中图分类号
学科分类号
摘要
We study the solvability of a boundary-value problem for the second-order elliptic differential-operator equation with spectral parameter both in the equation and in boundary conditions. We also analyze the asymptotic behavior of the eigenvalues corresponding to the uniform boundary-value problem.
引用
收藏
页码:1 / 14
页数:13
相关论文
共 23 条
  • [11] Dore G(1976)On a class of boundary-value problems with spectral parameter in the boundary condition Mat. Sb. 100(142) 210-216
  • [12] Yakubov S(1980)On the asymptotic distribution of eigenvalues of some boundary-value problems for the operator Sturm–Liouville equation Ukr. Mat. Zh. 32 248-252
  • [13] Yakubov SYa(2006)Asymptotic behavior of eigenvalues of one boundary-value problem for the second-order elliptic differential-operator equation Ukr. Mat. Zh. 58 1146-1152
  • [14] Aliev BA(2005)Asymptotic behavior of eigenvalues of a boundary value problem with spectral parameter in the boundary conditions for the second order elliptic differential-operator equation Trans. NAS Azer. Ser. Phys-Tech. Math. Sci. 25 3-8
  • [15] Bruk VM(2006)Elliptic differential-operator problems with a spectral parameter in both the equation and boundary-operator conditions Adv. Different. Equat. 11 1081-1110
  • [16] Rybak MA(1976)Completeness of the system of eigenfunctions and associated functions for boundary-value problems containing a parameter in the boundary conditions Dokl. Akad. Nauk SSSR 227 288-300
  • [17] Aliev BA(1977)Separate asymptotics of two series of eigenvalues of one elliptic boundary-value problem Mat. Zametki 22 699-711
  • [18] Aliev BA(undefined)undefined undefined undefined undefined-undefined
  • [19] Aliev BA(undefined)undefined undefined undefined undefined-undefined
  • [20] Yakubov Ya(undefined)undefined undefined undefined undefined-undefined