Geodesic
Steplike contrast structure in a singularly perturbed system of equations with different powers of small parameter
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 52 (2012) no. 11, pp. 1983-2003

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A singularly perturbed boundary value problem for a system of equations with different powers of a small parameter is considered in the one-dimensional case. The asymptotic behavior and existence of a solution with an internal transition layer are analyzed. The asymptotics are substantiated using the asymptotic method of differential inequalities. 
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     title = {Steplike contrast structure in a singularly perturbed system of equations with different powers of small parameter},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
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     volume = {52},
     number = {11},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2012_52_11_a6/}
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V. F. Butuzov; N. T. Levashova; A. A. Mel'nikova. Steplike contrast structure in a singularly perturbed system of equations with different powers of small parameter. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 52 (2012) no. 11, pp. 1983-2003. http://geodesic.mathdoc.fr/item/ZVMMF_2012_52_11_a6/