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A sequence of best approximate solutions ofy′=F(x, y) using theLq norm

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Summary

In this paper we consider the best approximation using theLq norm, to the solution ofy′=F(x, y) with the initial condition y(0)=y0 by using a sequence of polynomials. The necessary conditions for the existence and uniqueness of approximating polynomials are given.

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References

  1. W. A. Coppel,Stability and Asymptotic Behavior of Differential Equation, Heath, Boston, 1965.

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Authors and Affiliations

  1. Canyon, U.S.A.

    R. G. Huffstutler

Authors
  1. R. G. Huffstutler
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Additional information

This work was supported by the West Texas State University Organized Research Fund.

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Huffstutler, R.G. A sequence of best approximate solutions ofy′=F(x, y) using theLq norm. Rend. Circ. Mat. Palermo 20, 263–268 (1971). https://doi.org/10.1007/BF02844179

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  • DOI: https://doi.org/10.1007/BF02844179

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