Principal vectors of second-order quantum difference equations with boundary conditions dependent on spectral parameter

被引:0
|
作者
Yelda Aygar
机构
[1] University of Ankara,Department of Mathematics, Faculty of Science
关键词
Hilbert Space; Boundary Value Problem; Finite Number; Green Function; Nonnegative Integer;
D O I
暂无
中图分类号
学科分类号
摘要
Spectral analysis of a boundary value problem (BVP) consisting of a second-order quantum difference equation and boundary conditions depending on an eigenvalue parameter with spectral singularities was first studied by Aygar and Bohner (Appl. Math. Inf. Sci. 9(4):1725-1729, 2015). The main goal of this paper is to construct the principal vectors corresponding to the eigenvalues and the spectral singularities of this BVP. These vectors are important to get the spectral expansion formula for this BVP.
引用
收藏
相关论文
共 50 条
  • [1] Principal vectors of second-order quantum difference equations with boundary conditions dependent on spectral parameter
    Aygar, Yelda
    ADVANCES IN DIFFERENCE EQUATIONS, 2015,
  • [2] On the Second-Order Quantum (p,q)-Difference Equations with Separated Boundary Conditions
    Promsakon, Chanon
    Kamsrisuk, Nattapong
    Ntouyas, Sotiris K.
    Tariboon, Jessada
    ADVANCES IN MATHEMATICAL PHYSICS, 2018, 2018
  • [3] Eigenvalues of second-order difference equations with coupled boundary conditions
    Sun, HQ
    Shi, YM
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2006, 414 (01) : 361 - 372
  • [4] Eigenvalues of second-order difference equations with periodic and antiperiodic boundary conditions
    Wang, Y
    Shi, YM
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2005, 309 (01) : 56 - 69
  • [5] A study of second-order q-difference equations with boundary conditions
    Ahmad, Bashir
    Alsaedi, Ahmed
    Ntouyas, Sotiris K.
    ADVANCES IN DIFFERENCE EQUATIONS, 2012, : 1 - 10
  • [6] A study of second-order q-difference equations with boundary conditions
    Bashir Ahmad
    Ahmed Alsaedi
    Sotiris K Ntouyas
    Advances in Difference Equations, 2012
  • [7] Solvability of a Boundary Value Problem for Second-Order Elliptic Differential Operator Equations with a Spectral Parameter in the Equation and in the Boundary Conditions
    Aliev, B. A.
    Kurbanova, N. K.
    Yakubov, Ya.
    DIFFERENTIAL EQUATIONS, 2018, 54 (01) : 67 - 85
  • [8] Solvability of a Boundary Value Problem for Second-Order Elliptic Differential Operator Equations with a Spectral Parameter in the Equation and in the Boundary Conditions
    B. A. Aliev
    N. K. Kurbanova
    Ya. Yakubov
    Differential Equations, 2018, 54 : 67 - 85
  • [9] Fixed sign solutions of second-order difference equations with Neumann boundary conditions
    Cabada, A
    Otero-Espinar, V
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2003, 45 (6-9) : 1125 - 1136
  • [10] Nonlinear second-order -difference equations with three-point boundary conditions
    Thiramanus, Phollakrit
    Tariboon, Jessada
    COMPUTATIONAL & APPLIED MATHEMATICS, 2014, 33 (02): : 385 - 397