Sufficient conditions for the eigenvalues of the operator -d2/dx2 + q(x) under the Ionkin-Samarskii conditions

Computational Mathematics and Mathematical Physics

Volumn 40, Issue 12, 2000, Pages 1715-1728

  Bandyrskii, B I ^a   Makarov, V L ^b  

^a LVIV POLYTECHNIC NATIONAL UNIVERSITY   (Ukraine)

^b INSTITUTE OF MATHEMATICS   (Ukraine)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33747234713     PISSN: 09655425     EISSN: 15556662     Source Type: Journal    
DOI: None     Document Type: Article

References (8)

1. Makarov, V.L., A Functional-Difference Method of an Arbitrary Order of Accuracy for Solving the Sturm-Liouville Problem with Piecewise Linear Coefficients, Dokl. Akad. Nauk SSSR, 1991, vol. 320, no. 1, pp. 34-39.
2. Makarov, V.L. and Ukhanev, O.L., FD Method for Sturm-Liouville Problems, Exponential Rate of Convergence, Appl. Math. And Informatics, Tbilisi: Tbilisi Univ., 1997, vol. 2, pp. 1-19.
3. Gordon, R.G., New Method for Constructing Wavefunctions for Bound States and Scattering, J. Chem. Phys., 1969, vol. 51.no. 1, pp. 14-25.
4. Pryce, J.D., Numerical Solution of Sturm-Liouville Problems, Oxford: Calderon Press, 1993.
5. Bandyrskii, B.I., Makarov, V.L., and Ukhanev, O.L., Sufficient Convergence Conditions of Nonclassical Asymptotic Expansions for the Sturm-Liouville Problem with Periodic Conditions, Differ. Uravn., 1999, vol. 35, no. 3, pp. 1-12.
6. Marchenko, V.A., Operatory Shturma-Liuvillya i ikh prilozheniya (Sturm-Liouville Operators with Applications), Kiev: Naukova Dumka, 1977.
7. Makarov, V.L. and Khlobystov, V.V., Splain-priblizheniya funktsii (Splain Approximations of Functions), Moscow: Vyshaya Shkola, 1983.
8. Bateman, H. and Erdelyi, A., Higher Transcendental Functions, New York: Mcraw-Hill, 1953. Translated under the title Vysshie transtsendentnye funktsii, Moscow: Nauka, 1974.