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Lower and upper functions and generalized solutions of a boundary value problem for a differential-operator equation

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Abstract

We suggest a new approach to lower and upper functions for higher-order boundary value problems and a weakening of the Schrader condition.

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References

  1. Lepin, L.A., Solvability of Boundary Value Problems between Lower and Upper Functions for a Second-Order Equation, Nauchn. Tr. Latv. Univ. IMI, 2011, vol. 11, pp. 40–46.

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  2. Grossinho, M.R., Minhós, F., and Santos, A.I., High Order Nonlinear Two-Point Boundary Value Problems with Sign-Type Nagumo Conditions, AIP Conf. Proc., 2009, pp. 195–204.

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  3. Lepin, A.Ya., Classes of Functions with Bounded Bending, Nauchn. Tr. Latv. Univ. IMI, 1992, vol. 570, pp. 111–141.

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  4. Schrader, K.W., Existence Theorems for Second Order Boundary Value Problems, J. Differential Equations, 1969, vol. 5, no. 3, pp. 572–584.

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Authors and Affiliations

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

    A. Ya. Lepin & L. A. Lepin

Authors
  1. A. Ya. Lepin
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  2. L. A. Lepin
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Correspondence to A. Ya. Lepin.

Additional information

Original Russian Text © A.Ya. Lepin, L.A. Lepin, 2015, published in Differentsial’nye Uravneniya, 2015, Vol. 51, No. 3, pp. 413–416.

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Lepin, A.Y., Lepin, L.A. Lower and upper functions and generalized solutions of a boundary value problem for a differential-operator equation. Diff Equat 51, 417–420 (2015). https://doi.org/10.1134/S001226611503012X

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  • DOI: https://doi.org/10.1134/S001226611503012X

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