Geodesic
Justification of asymptotic decomposition of a solution for the problem of the motion of weak solutions of polymers near a critical point
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 17 (2020), pp. 313-317

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We consider the boundary-value problem in a semibounded interval for a third-order integro-differential equation with the small parameter multiplies the product of the integral of unknown function vanishing on the boundary and its highest derivative. Such a problem arises in the description of the motion of weak solutions of polymers near a critical point. Unique solvability for the problem for all values of the parameter in [0,1] is proved in [1]. In this paper the representation of a solution as an asymptotic series in non-negative integer powers of the small parameter is established.
Keywords: flow of an aqueous solution of polymers, boundary-value problem in a semibounded interval, small parameter, asymptotic solution. 
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     author = {A. G. Petrova},
     title = {Justification of asymptotic decomposition of a solution for the problem of the motion of weak solutions of polymers near a critical point},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {313--317},
     publisher = {mathdoc},
     volume = {17},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2020_17_a85/}
}
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A. G. Petrova. Justification of asymptotic decomposition of a solution for the problem of the motion of weak solutions of polymers near a critical point. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 17 (2020), pp. 313-317. http://geodesic.mathdoc.fr/item/SEMR_2020_17_a85/