A system of singularly perturbed equations with differential turning point of the 1st kind
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 3 (2015), pp. 63-74
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For a system of differential equations with small parameter at the higher derivative and turning point we construct uniform asymptotics of the solution. We consider the case when the spectrum of the boundary operator contains multiple elements and elements that identically equal zero.
Keywords:
linear system, small parameter, turning point, Airy operator.
@article{IVM_2015_3_a5,
author = {I. A. Zelenskaya},
title = {A system of singularly perturbed equations with differential turning point of the 1st kind},
journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
pages = {63--74},
publisher = {mathdoc},
number = {3},
year = {2015},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/IVM_2015_3_a5/}
}
TY - JOUR AU - I. A. Zelenskaya TI - A system of singularly perturbed equations with differential turning point of the 1st kind JO - Izvestiâ vysših učebnyh zavedenij. Matematika PY - 2015 SP - 63 EP - 74 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/IVM_2015_3_a5/ LA - ru ID - IVM_2015_3_a5 ER -
I. A. Zelenskaya. A system of singularly perturbed equations with differential turning point of the 1st kind. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 3 (2015), pp. 63-74. http://geodesic.mathdoc.fr/item/IVM_2015_3_a5/