@article{ZVMMF_2002_42_5_a6,
author = {B. I. Bandyrskii and \={I}. \={I}. Lazurchak and V. L. Makarov},
title = {A functional difference method for solving left-definite {Sturm{\textendash}Liouville} problems with an eigenparameter in the boundary conditions},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {676--689},
year = {2002},
volume = {42},
number = {5},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2002_42_5_a6/}
}
TY - JOUR AU - B. I. Bandyrskii AU - Ī. Ī. Lazurchak AU - V. L. Makarov TI - A functional difference method for solving left-definite Sturm–Liouville problems with an eigenparameter in the boundary conditions JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 2002 SP - 676 EP - 689 VL - 42 IS - 5 UR - http://geodesic.mathdoc.fr/item/ZVMMF_2002_42_5_a6/ LA - ru ID - ZVMMF_2002_42_5_a6 ER -
%0 Journal Article %A B. I. Bandyrskii %A Ī. Ī. Lazurchak %A V. L. Makarov %T A functional difference method for solving left-definite Sturm–Liouville problems with an eigenparameter in the boundary conditions %J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki %D 2002 %P 676-689 %V 42 %N 5 %U http://geodesic.mathdoc.fr/item/ZVMMF_2002_42_5_a6/ %G ru %F ZVMMF_2002_42_5_a6
B. I. Bandyrskii; Ī. Ī. Lazurchak; V. L. Makarov. A functional difference method for solving left-definite Sturm–Liouville problems with an eigenparameter in the boundary conditions. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 42 (2002) no. 5, pp. 676-689. http://geodesic.mathdoc.fr/item/ZVMMF_2002_42_5_a6/
[1] Binding P. A., Browne P. J., “Left definite Sturm-Liouville problems with eigen parameter dependent on boundary conditions”, Different. Integr. Equation., 12:2 (1999), 167–182 | MR | Zbl
[2] Binding P. A., Browne P. J., Seddighi K., “Sturm–Liouville problems with eigen parameter dependent on boundary conditions”, Proc. Edinburgh Math. Soc., 37 (1993), 57–72 | DOI | MR
[3] Binding P. A., Browne P. J., “Application of two-parameter eigencurves to Sturm–Liouville problems with eigenparameter-dependent on boundary conditions”, Proc. Roy. Soc. Edinburgh. A, 125 (1995), 1205–1218 | MR | Zbl
[4] Ince E. L., Ordinary differential equations doker, New York, 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., 44:2 (1992), 391–396 | MR
[6] Makarov V. L., Ukhanev O. L., “FD-method for Sturm–Liouville problems. Exponential rate of convergenze”, Appl. Math. and Inform., 2, Univ. Press, Tbilisy, 1997, 1–19 | MR
[7] Bandyrskii B. I., Makarov V. L., Ukhanev O. L., “Dostatochnye usloviya skhodimosti ne klassicheskikh asimptoticheskikh razlozhenii dlya zadachi Shturma–Liuvillya s periodicheskimi usloviyami”, Differents. ur-niya, 1:3 (1999), 1–12 | MR
[8] Bekkenbakh E., Bellman R., Neravenstva, Mir, M., 1965 | MR
[9] Wolfram S., Mathematical a system for doing mathematics by computer, Addison Wesley, 1988 | Zbl
[10] Dyakonov V. P., Matematicheskaya sistema Maple V R3/R4/R5, “Solon”, M., 1998