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- Title
THE BOUNDS OF EIGENVALUE FOR COMPLEX SINGULAR BOUNDARY VALUE PROBLEMS.
- Authors
FU SUN; XIAOXUE HAN
- Abstract
The present paper deals with "the perturbation of Legendre eigenvalue problem" with limit-circle type non-oscillation endpoints. The dissipative operators in limit-circle case are studied. Lower bounds on the real parts of all eigenvalues and the upper bounds on the imaginary parts of the non-real eigenvalues for this eigenvalue problem associated to a special separated boundary condition (see the below in (3.1b)) are obtained through a new method, partly inspired by the estimates obtained in Sun and Qi (Proc. Roy. Soc. Edinburgh A, 150:2607-2619, 2020).
- Subjects
EIGENVALUES; MATHEMATICAL bounds; BOUNDARY value problems; MATHEMATICAL singularities; LEGENDRE'S functions; PERTURBATION theory
- Publication
Journal of Mathematical Inequalities, 2023, Vol 17, Issue 1, p127
- ISSN
1846-579X
- Publication type
Article
- DOI
10.7153/jmi-2023-17-09