The trace formula for Sturm–Liouville operator with operator coefficient
1.I. C. Cohberg and M. G. Krein, Introduction to the Theory of Linear Non-self Adjoint Operators, Translation of Mathematical Monographs, Vol. 18 (AMS, Providence, RI, 1969).
2.R. Z. Chalilova, “On arranging Sturm-Liouville operator equation’s trace,” Funks, Analiz, teoriya funksiy i ik pril-Mahaçkala, 3 (part I), 154–161 (1976).
3.I. M. Gelfand and B. M. Levitan, “On a formula for eigenvalues of a differential operator of second order,” Dokl. Akad. Nauk SSSR 88, 593–596 (1953).
4.L. A. Dikiy, “About a formula of Gelfand-Levitan,” Usp. Mat. Nauk 8, 119–123 (1953).
5.C. J. Halberg and V. A. Kramer, “A generalization of the trace concept,” Duke Math. J. 27, 607–618 (1960).
6.B. M. Levitan and I. S. Sargsyan, Sturm-Liouville and Dirac Operators (Kluwer, Dordrecht, 1991).
7.T. C. Fulton and S. A. Pruess, “Eigenvalue and eigenfunction asymptotics for regular Sturm-Liouville problems,” J. Math. Anal. Appl. 188, 297–340 (1994).
8.F. G. Maksudov, M. Bairamoglu, and E. E. Adiguzelov, “On regularized trace of Sturm-Liouville operator on a finite interval with the unbounded operator coefficient,” Dokl. Akad. Nauk SSSR 30, 169–173 (1984).
No metrics data to plot.
The attempt to load metrics for this article has failed.
The attempt to plot a graph for these metrics has failed.
Article metrics loading...
Full text loading...