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Sturm-liouville problem for a differential equation of second order with discontinuous coefficients

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Journal of Engineering Physics and Thermophysics Aims and scope

Abstract

Using, as an example, a special Sturm-Liouville boundary-value problem for a differential equation of second order with discontinuous coefficients, the authors describe a method of constructing a closed orthonormalized system of functions that is common to the entire domain of determination.

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References

  1. V. Ya. Arsenin, Methods of Mathematical Physics and Special Functions [in Russian], Moscow (1974).

  2. E. M. Kartashov, Analytical Methods in the Heat-Conduction Theory of Solids [in Russian], Moscow (1985).

  3. A. V. Luikov, Heat-Conduction Theory [in Russian], Moscow (1967).

  4. A. N. Tikhonov and A. A. Samarskii, Equations of Mathematical Physics [in Russian], Moscow (1972).

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Authors and Affiliations

  1. Samara State Technical University, Russia

    B. V. Averin, D. I. Kolotilkin & V. A. Kudinov

Authors
  1. B. V. Averin
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  2. D. I. Kolotilkin
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  3. V. A. Kudinov
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Additional information

Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 73, No. 4, pp. 748–753, July–August, 2000.

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Averin, B.V., Kolotilkin, D.I. & Kudinov, V.A. Sturm-liouville problem for a differential equation of second order with discontinuous coefficients. J Eng Phys Thermophys 73, 735–740 (2000). https://doi.org/10.1007/s10891-000-0083-8

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  • DOI: https://doi.org/10.1007/s10891-000-0083-8

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