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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2002, Volume 236, Pages 332–337 (Mi tm303)  
This article is cited in 1 scientific paper (total in 1 paper)

On Jost-Type Solutions to Quasilinear Equations with Power Nonlinearity

S. A. Stepin

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
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Abstract: By a variant of the WKB method, Jost-type solutions are constructed for second-order quasilinear ordinary differential equations with power nonlinearity. By an example of the second Painlevé equation, it is demonstrated that the existence conditions obtained for the above solutions are sharp in a certain sense.
Received in December 2000
Bibliographic databases:
UDC: 517.9
Language: Russian
Citation: S. A. Stepin, “On Jost-Type Solutions to Quasilinear Equations with Power Nonlinearity”, Differential equations and dynamical systems, Collected papers. Dedicated to the 80th anniversary of academician Evgenii Frolovich Mishchenko, Trudy Mat. Inst. Steklova, 236, Nauka, MAIK «Nauka/Inteperiodika», M., 2002, 332–337; Proc. Steklov Inst. Math., 236 (2002), 319–324
Citation in format AMSBIB
\Bibitem{Ste02}
\by S.~A.~Stepin
\paper On Jost-Type Solutions to Quasilinear Equations with Power Nonlinearity
\inbook Differential equations and dynamical systems
\bookinfo Collected papers. Dedicated to the 80th anniversary of academician Evgenii Frolovich Mishchenko
\serial Trudy Mat. Inst. Steklova
\yr 2002
\vol 236
\pages 332--337
\publ Nauka, MAIK «Nauka/Inteperiodika»
\publaddr M.
\mathnet{http://mi.mathnet.ru/tm303}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1931033}
\zmath{https://zbmath.org/?q=an:1025.34044}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2002
\vol 236
\pages 319--324
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