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An initial-value method for the eigenvalue problem for differential equations with nonseparated boundary conditions

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Abstract

An initial-value technique is presented for the calculation of the characteristic lengths and characteristic functions of linear second-order ordinary differential equations subject to general nonseparated boundary conditions. Numerical examples are presented which demonstrate the efficacy of the method.

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References

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Authors and Affiliations

  1. Applied Mathematics Division, Sandia Laboratories, Albuquerque, New Mexico

    M. R. Scott (Member of Technical Staff)

Authors
  1. M. R. Scott
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Additional information

Communicated by R. E. Kalaba

This work was supported by the US Atomic Energy Commission.

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Scott, M.R. An initial-value method for the eigenvalue problem for differential equations with nonseparated boundary conditions. J Optim Theory Appl 12, 355–366 (1973). https://doi.org/10.1007/BF00940417

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  • DOI: https://doi.org/10.1007/BF00940417

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