Principal Functions of Non-Selfadjoint Difference Operator with Spectral Parameter in Boundary Conditions
We investigate the principal functions corresponding to the eigenvalues and the spectral singularities of the boundary value problem (BVP) 𝑎𝑛−1𝑦𝑛−1+𝑏𝑛𝑦𝑛+𝑎𝑛𝑦𝑛+1=𝜆𝑦𝑛, 𝑛∈ℕ and (𝛾0+𝛾1𝜆)𝑦1+(𝛽0+𝛽1𝜆)𝑦0=0, where (𝑎𝑛) and (𝑏𝑛) are complex sequences, 𝜆 is an eigenparameter, and 𝛾𝑖, 𝛽𝑖∈ℂ fo...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2011-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2011/608329 |
| Summary: | We investigate the
principal functions corresponding
to the eigenvalues and the spectral singularities of the boundary value problem
(BVP) 𝑎𝑛−1𝑦𝑛−1+𝑏𝑛𝑦𝑛+𝑎𝑛𝑦𝑛+1=𝜆𝑦𝑛, 𝑛∈ℕ and (𝛾0+𝛾1𝜆)𝑦1+(𝛽0+𝛽1𝜆)𝑦0=0, where (𝑎𝑛) and (𝑏𝑛) are complex sequences, 𝜆 is an eigenparameter, and 𝛾𝑖, 𝛽𝑖∈ℂ for 𝑖=0, 1. |
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| ISSN: | 1085-3375 1687-0409 |