Principal Functions of Non-Selfadjoint Difference Operator with Spectral Parameter in Boundary Conditions

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OLGUN M., Koprubasi T., AYGAR KÜÇÜKEVCİLİOĞLU Y.

ABSTRACT AND APPLIED ANALYSIS, cilt.2011, 2011 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 2011
  • Basım Tarihi: 2011
  • Doi Numarası: 10.1155/2011/608329
  • Dergi Adı: ABSTRACT AND APPLIED ANALYSIS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Ankara Üniversitesi Adresli: Evet

Özet

We investigate the principal functions corresponding to the eigenvalues and the spectral singularities of the boundary value problem (BVP) a(n-1)y(n-1) + b(n)y(n) + a(n)y(n+1) = lambda y(n), n is an element of 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,. is an eigenparameter, and gamma(i), beta(i) is an element of C for i = 0, 1.