Geodesic
Application of resurgent analysis to the construction of asymptotics of linear differential equations with degeneration in coefficients
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the International Conference on Mathematical Modelling in Applied Sciences ICMMAS-17, St. Petersburg Polytechnic University, July 24-28, 2017, Tome 160 (2019), pp. 61-73

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This paper is a review of results concerning the construction of asymptotics of solutions to degenerate linear differential equations with holomorphic coefficients. We consider both cases of ordinary and partial differential equations.
Keywords: irregular singular points, resurgent analysis, asymptotics. 
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     author = {M. V. Korovina},
     title = {Application of resurgent analysis to the construction of asymptotics of linear differential equations with degeneration in coefficients},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
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     publisher = {mathdoc},
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M. V. Korovina. Application of resurgent analysis to the construction of asymptotics of linear differential equations with degeneration in coefficients. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the International Conference on Mathematical Modelling in Applied Sciences ICMMAS-17, St. Petersburg Polytechnic University, July 24-28, 2017, Tome 160 (2019), pp. 61-73. http://geodesic.mathdoc.fr/item/INTO_2019_160_a7/