Spectral Singularities of Sturm-Liouville Problems with Eigenvalue-Dependent Boundary Conditions

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BAYRAM E., Yokus N.

ABSTRACT AND APPLIED ANALYSIS, vol.2009, 2009 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 2009
  • Publication Date: 2009
  • Doi Number: 10.1155/2009/289596
  • Journal Name: ABSTRACT AND APPLIED ANALYSIS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Ankara University Affiliated: Yes

Abstract

Let L denote the operator generated in L(2)(R(+)) by Sturm-Liouville equation -y '' + q(x)y = lambda(2)y, x is an element of R(+) = [0,infinity), y'(0)/y(0) = alpha(0) + alpha(1)lambda + alpha(2)lambda(2), where q is a complex-valued function and alpha(i) is an element of C, i = 0, 1,2 with alpha(2) not equal 0. In this article, we investigate the eigenvalues and the spectral singularities of L and obtain analogs of Naimark and Pavlov conditions for Copyright (C) 2009 E. Bairamov and N. Yokus.