A functional difference method for solving left-definite sturm-liouville problems with an eigenparameter in the boundary conditions

Computational Mathematics and Mathematical Physics

Volumn 42, Issue 5, 2002, Pages 646-659

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

^a LVIV POLYTECHNIC NATIONAL UNIVERSITY   (Ukraine)

^b DROHOBYCH IVAN FRANKO STATE PEDAGOGICAL UNIVERSITY   (Ukraine)

^c INSTITUTE OF MATHEMATICS   (Ukraine)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33746506132     PISSN: 09655425     EISSN: 15556662     Source Type: Journal    
DOI: None     Document Type: Article

References (11)

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3. Binding, P.A. and Browne, P.J., Application of Two-Parameter Eigencurves to Sturm-Liouville Problems with Eigenparameter Dependent Boundary Conditions, Proc. Roy. Soc. Edinburgh, 1995, vol. 125(A), pp. 1205-1218.
4. Ince, E.L., Ordinary Differential Equations, New York: Dover, 1956.
5. Makarov, V.L., On a Functional Difference Method of Arbitrary Order of Precision for Solving the Sturm-Liouville Problem with Piecewise Smooth Coefficients, Soviet Math. Dokl, 1992, vol. 44, no. 2, pp. 391-396.
6. Makarov, V.L. and Ukhanev, O.L., FD-Method for Sturm-Liouville Problems. Exponential Rate of Convergence, Appl. Math. and Inform., Tbilisi: Univ. Press, 1997, vol. 2, pp. 1-19.
7. Bandyrskii, B.I., Makarov, V.L., and Ukhanev, O.L., Sufficient Convergence Conditions for Nonclassical Asymptotic Expansions of the Sturm-Liouville Problem with Periodic Conditions, Differ. Uravn., 1999, vol. 1, no. 3, pp. 1-12.
8. Beckenbach, E.F. and Bellman, R., Inequalities, Berlin: Springer, 1961.
9. Translated under the title Neravenstva, Moscow: Mir, 1965.
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11. D'yakonov, V.P., Matematicheskaya sistema Maple VR3/R4/R5 (The Computer Algebra System Maple), Moscow: Solon, 1998.