Geodesic
Asymptotic behavior of solutions to a Cauchy problem with a turning point in the case of change of stability
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Mathematical Analysis, Tome 156 (2018), pp. 103-105

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We prove the existence of solutions to a perturbed Cauchy problem on an infinite interval and obtain asymptotic estimates of the proximity of solutions to the perturbed and nonperturbed problems on an infinite interval containing an unstable interval.
Keywords: singularly perturbed Cauchy problem, asymptotic stability, asymptotics, small parameter, turning point, unstable interval. 
@article{INTO_2018_156_a8,
     author = {E. A. Tursunov},
     title = {Asymptotic behavior of solutions to a {Cauchy} problem with a turning point in the case of change of stability},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {103--105},
     publisher = {mathdoc},
     volume = {156},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTO_2018_156_a8/}
}
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E. A. Tursunov. Asymptotic behavior of solutions to a Cauchy problem with a turning point in the case of change of stability. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Mathematical Analysis, Tome 156 (2018), pp. 103-105. http://geodesic.mathdoc.fr/item/INTO_2018_156_a8/