References
Bulatov, M.V., Differ. Uravn., 2002, vol. 38, no. 5, pp. 692–697.
Ushakov, E.I., Staticheskaya ustoichivost’ elektricheskikh sistem (Statical Stability of Electric Systems), Novosibirsk, 1988.
Apartsin, A.S., Neklassicheskie uravneniya Vol’terra I roda: teoriya i prilozheniya (Nonclassical Volterra Equations of the First Kind: Theory and Applications), Novosibirsk, 1999.
Chistyakov, V.F., Algebro-differentsial’nye operatory s konechnomernym yadrom (Algebraic-Differential Operators with Finite-Dimensional Kernel), Novosibirsk: Nauka, 1996.
Bulatov, M.V. and Chistyakova, E.V., Proc. Intern. Conf. on Computational Math., Novosibirsk, 2004, vol. 2, pp. 813–817.
Fikhtengol’ts, G.M., Kurs differentsial’nogo i integral’nogo ischisleniya (Course of Differential and Integral Calculus), St. Petersburg, 1997, vol. 2.
Hairer, E., Nørsett, S. P., and Wanner, G., Solving Ordinary Differential Equations. I: Nonstiff Problems, Berlin: Springer, 1987. Translated under the title Reshenie obyknovennykh differentsial’nykh uravnenii. Nezhestkie zadachi, Moscow: Mir, 1990.
Gantmakher, F.R., Teoriya matrits (Theory of Matrices), Moscow: Nauka, 1966.
Berezin, I.S. and Zhidkov, N.P., Metody vychislenii (Computation Methods), Moscow: Nauka, 1966, vol. 2.
Ten, M.Ya., Approximate Solution of Linear Volterra Integral Equations of the First Kind, Cand. Sci. (Phys.-Math.) Dissertation, Irkutsk, 1985.
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Original Russian Text © M.V. Bulatov, E.V. Chistyakova, 2006, published in Differentsial’nye Uravneniya, 2006, Vol. 42, No. 9, pp. 1248–1255.
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Bulatov, M.V., Chistyakova, E.V. Numerical solution of integro-differential systems with a degenerate matrix multiplying the derivative by multistep methods. Diff Equat 42, 1317–1325 (2006). https://doi.org/10.1134/S0012266106090102
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DOI: https://doi.org/10.1134/S0012266106090102