Principal Functions of Nonselfadjoint Discrete Dirac Equations with Spectral Parameter in Boundary Conditions

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

ABSTRACT AND APPLIED ANALYSIS, cilt.2012, 2012 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 2012
  • Basım Tarihi: 2012
  • Doi Numarası: 10.1155/2012/924628
  • Dergi Adı: ABSTRACT AND APPLIED ANALYSIS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Ankara Üniversitesi Adresli: Evet

Özet

Let L denote the operator generated in l(2)(N, C-2) by an+1y(n+1)((2)) + b(n)y(n)((2)) + p(n)y(n)((1)) = lambda y(n)((1)), a(n-1)y(n-1)((1)) + b(n)y(n)((1)) + q(n)y(n)((2)) = lambda y(n)((2)), n is an element of N, and the boundary condition (gamma(0) + gamma(1)lambda)y(1)((2)) + (beta(0) + beta(1)lambda)y(0)((1)) = 0, where (a(n)), (b(n)), (p(n)), and (q(n)), n is an element of N are complex sequences gamma(i),beta(i) is an element of C, i = 0,1 and lambda is an eigenparameter. In this paper we investigated the principal functions corresponding to the eigenvalues and the spectral singularities of L.