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Olgun, Murat; Koprubasi, Turhan; Aygar, Yelda

Principal functions of non-selfadjoint difference operator with spectral parameter in boundary conditions. (English) Zbl 1220.39009

Abstr. Appl. Anal. 2011, Article ID 608329, 10 p. (2011).
Summary: We investigate the principal functions corresponding to the eigenvalues and the spectral singularities of the boundary value problem \(a_{n-1}y_{n-1} + b_ny_n + a_ny_{n+1} = \lambda y_n\), \(n \in \mathbb N\) and \((\gamma_0 + \gamma_1 \lambda)y_1 + (\beta_0 + \beta_1 \lambda)y_0 = 0\), where \((a_n)\) and \((b_n)\) are complex sequences, \(\lambda\) is an eigenparameter, and \(\gamma_i, \beta_i \in \mathbb C\) for \(i = 0, 1\).

Cited in 5 Documents

MSC:

39A12 Discrete version of topics in analysis
39A06 Linear difference equations
39A45 Difference equations in the complex domain
34L05 General spectral theory of ordinary differential operators

Keywords:

eigenvalues; spectral singularities; boundary value problem
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\textit{M. Olgun} et al., Abstr. Appl. Anal. 2011, Article ID 608329, 10 p. (2011; Zbl 1220.39009)
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References:

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