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Extremal solutions of sixth-order boundary value problems

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Abstract

For sixth-order boundary value problems, we find extremal solutions that provide the best estimates in the proof of the existence of a solution by the method of a priori estimates.

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References

  1. Lepin, A.Ya., Lepin, L.A., and Ponomarev, V.D., A Boundary Value Problem for an nth-Order Operator Equation, Differ. Uravn., 2010, vol. 46, no. 3, pp. 446–448.

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  2. Vasil’ev, N.I., Lepin, A.Ya., and Lepin, L.A., Extremal Solutions of Boundary Value Problems, Differ. Uravn., 2011, vol. 47, no. 2, pp. 168–174.

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  3. Vasil’ev, N.I., Lepin, A.Ya., and Lepin, L.A., Extremal Solutions of Fourth-Order Boundary Value Problems, Differ. Uravn., 2012, vol. 48, no. 1, pp. 3–12.

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Authors and Affiliations

  1. Institute of Mathematics and Computer Science, University of Latvia, Riga, Latvia

    N. I. Vasil’ev, A. Ya. Lepin & L. A. Lepin

Authors
  1. N. I. Vasil’ev
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  2. A. Ya. Lepin
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  3. L. A. Lepin
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Corresponding author

Correspondence to N. I. Vasil’ev.

Additional information

Original Russian Text © N.I. Vasil’ev, A.Ya. Lepin, L.A. Lepin, 2014, published in Differentsial’nye Uravneniya, 2014, Vol. 50, No. 9, pp. 1276–1278.

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Vasil’ev, N.I., Lepin, A.Y. & Lepin, L.A. Extremal solutions of sixth-order boundary value problems. Diff Equat 50, 1264–1266 (2014). https://doi.org/10.1134/S0012266114090134

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  • DOI: https://doi.org/10.1134/S0012266114090134

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