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Transformation of a singular boundary-value problem on a half-line to an integral equation with a discontinuous operator

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Abstract

An investigation of a boundary-value problem on a half-line for a nonlinear ordinary second order differential equation whose free term has a discontinuity in a strip. A method is proposed for the transformation of the boundary-value problem into an integral equation with a discontinuous operator. Some results have recently been obtained concerning the existence, the comparison, and integral representations of solutions of this integral equation.

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Literature cited

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Authors and Affiliations

  1. Khar'kov Institute of Communal-Construction Engineers, USSR

    A. I. Kolosov

Authors
  1. A. I. Kolosov
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Translated from Matematicheskie Zematki, Vol. 9, No. 1, pp. 77–82, January, 1971.

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Kolosov, A.I. Transformation of a singular boundary-value problem on a half-line to an integral equation with a discontinuous operator. Mathematical Notes of the Academy of Sciences of the USSR 9, 45–48 (1971). https://doi.org/10.1007/BF01405051

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  • DOI: https://doi.org/10.1007/BF01405051

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