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Numerical solution of integro-differential systems with a degenerate matrix multiplying the derivative by multistep methods

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References

  1. Bulatov, M.V., Differ. Uravn., 2002, vol. 38, no. 5, pp. 692–697.

    MATH  MathSciNet  Google Scholar 

  2. Ushakov, E.I., Staticheskaya ustoichivost’ elektricheskikh sistem (Statical Stability of Electric Systems), Novosibirsk, 1988.

  3. Apartsin, A.S., Neklassicheskie uravneniya Vol’terra I roda: teoriya i prilozheniya (Nonclassical Volterra Equations of the First Kind: Theory and Applications), Novosibirsk, 1999.

  4. Chistyakov, V.F., Algebro-differentsial’nye operatory s konechnomernym yadrom (Algebraic-Differential Operators with Finite-Dimensional Kernel), Novosibirsk: Nauka, 1996.

    Google Scholar 

  5. Bulatov, M.V. and Chistyakova, E.V., Proc. Intern. Conf. on Computational Math., Novosibirsk, 2004, vol. 2, pp. 813–817.

    Google Scholar 

  6. Fikhtengol’ts, G.M., Kurs differentsial’nogo i integral’nogo ischisleniya (Course of Differential and Integral Calculus), St. Petersburg, 1997, vol. 2.

  7. 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.

    Google Scholar 

  8. Gantmakher, F.R., Teoriya matrits (Theory of Matrices), Moscow: Nauka, 1966.

    MATH  Google Scholar 

  9. Berezin, I.S. and Zhidkov, N.P., Metody vychislenii (Computation Methods), Moscow: Nauka, 1966, vol. 2.

    Google Scholar 

  10. 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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