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Matematicheskie Zametki, 1971, Volume 9, Issue 1, Pages 77–82 (Mi mzm9645)  
Transformation of a singular boundary-value problem on a half-line to an integral equation with a discontinuous operator

A. I. Kolosov

Khar'kov Institute of Communal-Construction Engineers
Full-text PDF (664 kB)
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.
Received: 22.10.1969
English version:
Mathematical Notes, 1971, Volume 9, Issue 1, Pages 45–48
DOI: https://doi.org/10.1007/BF01405051
Bibliographic databases:
Document Type: Article
UDC: 517
Language: Russian
Citation: A. I. Kolosov, “Transformation of a singular boundary-value problem on a half-line to an integral equation with a discontinuous operator”, Mat. Zametki, 9:1 (1971), 77–82; Math. Notes, 9:1 (1971), 45–48
Citation in format AMSBIB
\Bibitem{Kol71}
\by A.~I.~Kolosov
\paper Transformation of a singular boundary-value problem on a half-line to an integral equation with a discontinuous operator
\jour Mat. Zametki
\yr 1971
\vol 9
\issue 1
\pages 77--82
\mathnet{http://mi.mathnet.ru/mzm9645}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=298112}
\zmath{https://zbmath.org/?q=an:0223.34020|0216.36702}
\transl
\jour Math. Notes
\yr 1971
\vol 9
\issue 1
\pages 45--48
\crossref{https://doi.org/10.1007/BF01405051}
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