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Matrix methods for solving the boundary-value problem for a second-order differential equation with delayed argument

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Abstract

Zero-rank matrix numerical differentiation algorithms are applied to construct efficient numerical-analytical methods (so-called zero-rank matrix methods) to find the eigenvalues and eigenfunctions of boundary-value problems for second-order differential equations with a delayed argument. The proposed methods are analyzed.

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Literature cited

  1. A. F. Kalaida, “Matrix numerical differentiation algorithms,” Vychisl. Prikl. Mat., No. 46, 7–13 (1982).

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  2. A. F. Kalaida and Yu. V. Pridatchenko, “Generalized collocation approximations and matrix numerical differentiation algorithms,” Vychisl. Prikl. Mat., No. 48, 15–23 (1982).

    Google Scholar 

  3. A. F. Kalaida and G. P. Yudenko, Zero-Rank Matrix Methods for Solving Boundary-Value Problems for One Class of Equations with Delays [in Russian], Kiev. Univ., Kiev (1984). Unpublished manuscript, UkrNIINTI 14.03.84, No. 486-84.

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  4. S. B. Norkin, Second-Order Differential Equations with Delayed Argument [in Russian], Nauka, Moscow (1965).

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  5. S. B. Norkin, “Application of the method of moments to compute the eigenvalues and eigenfunctions of some boundary-value problems with delays,” Proc. Seminar on Theory of Differential Equations with Deviating Argument [in Russian], No. 3 (1965), pp. 233–238.

    Google Scholar 

  6. N. V. Sharkova, “Approximate solution of differential equations with a delayed argument,” Uch. Zap. Perm. Gos. Univ.,13, No. 2, 63–73 (1959).

    Google Scholar 

  7. L. E. El'sgol'ts and S. B. Norkin, Introduction to the Theory of Differential Equations with Deviating Argument [in Russian], Nauka, Moscow (1971).

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Authors and Affiliations

  1. Kiev University, USSR

    A. F. Kalaida & G. P. Yudenko

Authors
  1. A. F. Kalaida
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  2. G. P. Yudenko
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Translated from Vychislitel'naya i Prikladnaya Matematika, No. 58, pp. 19–24, 1986.

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Kalaida, A.F., Yudenko, G.P. Matrix methods for solving the boundary-value problem for a second-order differential equation with delayed argument. J Math Sci 58, 404–407 (1992). https://doi.org/10.1007/BF01100064

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  • DOI: https://doi.org/10.1007/BF01100064

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