✦ LIBER ✦
Relative Oscillation–Non-Oscillation Criteria for Perturbed Periodic Dirac Systems
✍ Scribed by Karl Michael Schmidt
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 125 KB
- Volume
- 246
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
✦ Synopsis
Under minimal hypotheses, sufficient criteria for a perturbed Dirac system to be relatively oscillatory or non-oscillatory at ϱ with respect to a reference equation with periodic coefficients are proved my means of an asymptotic analysis of generalized Prufer angles. As illustrated by an example, they help decide whether ẗhe 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.