Title of article :
Relative Oscillation]Non-Oscillation Criteria for
Perturbed Periodic Dirac Systems
and Karl Michael Schmidt†، نويسنده ,
Issue Information :
دوهفته نامه با شماره پیاپی سال 2000
Under minimal hypotheses, sufficient criteria for a perturbed Dirac system to be
relatively oscillatory or non-oscillatory at ` with respect to a reference equation
with periodic coefficients are proved my means of an asymptotic analysis of
generalized Pr¨ufer angles. As illustrated by an example, they help decide whether
the number of eigenvalues in gaps of the essential spectrum is finite or infinite.
The critical perturbations naturally occur in the partial-wave analysis of spherically
symmetric Dirac operators.
Journal title :
Journal of Mathematical Analysis and Applications