Geodesic
Construction of asymptotic solutions of the autoresonance problem. Inner decomposition
Fundamentalʹnaâ i prikladnaâ matematika, Tome 12 (2006) no. 6, pp. 33-48

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The problem of autoresonance arising is investigated. Using the multi-scale method, we construct an asymptotic solution of this problem in the domain $t\ll\varepsilon^{-1}$. 
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     author = {R. N. Garifullin},
     title = {Construction of asymptotic solutions of the autoresonance problem. {Inner} decomposition},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {33--48},
     publisher = {mathdoc},
     volume = {12},
     number = {6},
     year = {2006},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_2006_12_6_a2/}
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R. N. Garifullin. Construction of asymptotic solutions of the autoresonance problem. Inner decomposition. Fundamentalʹnaâ i prikladnaâ matematika, Tome 12 (2006) no. 6, pp. 33-48. http://geodesic.mathdoc.fr/item/FPM_2006_12_6_a2/