Open Access

The Sturm-Liouville Problem with Singular Potential and the Extrema of the First Eigenvalue

Tatra Mountains Mathematical Publications's Cover Image
Tatra Mountains Mathematical Publications
Differential and Difference Equations and Applications ‘2012

Cite

[1] EGOROV, YU. V.-KONDRATIEV, V. A.: On Spectral Theory of Elliptic Operators, in: Oper. Theory Adv. Appl., Vol. 89, Birkh¨auser, 1996.10.1007/978-3-0348-9029-8Search in Google Scholar

[2] VINOKUROV, V. A.-SADOVNICHII, V. A.: On the range of variation of an eigenvaluewhen potential is varied, Dokl. Math. 68 (2003), 247-252.Search in Google Scholar

[3] EZHAK, S. S.: On the estimates for the minimum eigenvalue of the Sturm-Liouvilleproblem with integral condition, J. Math. Sci. 145 (2007), 5205-5218.10.1007/s10958-007-0345-5Search in Google Scholar

[4] MURYSHKINA, O. V.: Estimates for the minimal eigenvalue of the Sturm-Liouvilleproblem with nonsymmetric boundary conditions, Differ. Equ. 37 (2001), 899-900.Search in Google Scholar

[5] KARULINA, E.: Some estimates for the minimal eigenvalue of the Sturm-Liouville problemwith third-type boundary conditions, Math. Bohemica 136 (2011), 377-384.10.21136/MB.2011.141697Search in Google Scholar

[6] SAVCHUK, A. M.-SHKALIKOV, A. A.: Sturm-Liouville operators with distributionpotentials, Trans. Moscow Math. Soc. 64 (2003), 143-192.Search in Google Scholar

[7] RIESZ, F.-NAGY, B. SZ.: Le¸cons d’analyse fonctionelle. Budapest, Akadémiai Kiadó, 1968.Search in Google Scholar

[8] VLADIMIROV, A. A.: On the oscillation theory of the Sturm-Liouville problem withsingular coefficients, Comput. Math. Math. Phys. 49 (2009), 1535-1546.10.1134/S0965542509090085Search in Google Scholar

ISSN:
1210-3195
Language:
English
Publication timeframe:
3 times per year
Journal Subjects:
Mathematics, General Mathematics