## Abstract This paper deals with singular Hamiltonian differential systems. Three conditions on the asymptotic behavior or square integrability of their maximal domain functions at a singular end point are studied: the limit point condition, the strong limit point condition and the Dirichlet condi
Limit-point criterion for singular linear Dirac differential systems
β Scribed by Jiangang Qi; Songping Zhou
- Publisher
- Elsevier Science
- Year
- 2005
- Tongue
- English
- Weight
- 584 KB
- Volume
- 49
- Category
- Article
- ISSN
- 0898-1221
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β¦ Synopsis
The deficiency index problem of a singular linear Dirac differential system is studied in this paper. Several criterion are presented under which the linear Dirac systems are in the limitpoint case or the strong limit-point case. Some of results extensively generalize and improve the previous results obtained by Krall, Hinton and Shaw. Moreover, as a corollary of our results, the Levinson-type criteria for Dirac systems is obtained.
π SIMILAR VOLUMES
This paper is concerned with limit-point and limit-circle criteria of singular secondorder linear difference equations with complex coefficients. Formally self-adjoint second-order linear difference operators are formulated. Several sufficient conditions and sufficient and necessary conditions for t
Translated by D.E.B.