Geodesic
On Jost-Type Solutions to Quasilinear Equations with Power Nonlinearity
Informatics and Automation, Differential equations and dynamical systems, Tome 236 (2002), pp. 332-337

Voir la notice de l'article provenant de la source Math-Net.Ru

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. 
@article{TRSPY_2002_236_a33,
     author = {S. A. Stepin},
     title = {On {Jost-Type} {Solutions} to {Quasilinear} {Equations} with {Power} {Nonlinearity}},
     journal = {Informatics and Automation},
     pages = {332--337},
     publisher = {mathdoc},
     volume = {236},
     year = {2002},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TRSPY_2002_236_a33/}
}
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S. A. Stepin. On Jost-Type Solutions to Quasilinear Equations with Power Nonlinearity. Informatics and Automation, Differential equations and dynamical systems, Tome 236 (2002), pp. 332-337. http://geodesic.mathdoc.fr/item/TRSPY_2002_236_a33/