Accumulation of complex eigenvalues of indefinite Sturm-Liouville operators

作者:Behrndt Jussi*; Katatbeh Qutaibeh; Trunk Carsten
来源:Journal of Physics A-Mathematical and Theoretical, 2008, 41(24): 244003.
DOI:10.1088/1751-8113/41/24/244003

摘要

Spectral properties of singular Sturm-Liouville operators of the form A = sgn(.) (-d(2)/dx(2) + V) with the indefinite weight z -> sgn(x) on R are studied. For a class of potentials with lim(vertical bar x vertical bar ->infinity) V(x) = 0 the accumulation of complex and real eigenvalues of A to zero is investigated and explicit eigenvalue problems are solved numerically.

  • 出版日期2008-6-20