"second-order linear differential equation" .
.
"higher derivatives" .
"point" .
"article" .
_:Nfc9f49f7ec654bf68e40c1c78464e5d2 .
"coefficient" .
"National Research Nuclear University MEPhI, sh. Kashirskoe 31, 115409, Moscow, Russia" .
"S. A." .
.
"Artificial Intelligence and Image Processing" .
"Allerton Press" .
"limit values" .
.
"2016-12" .
"behavior" .
"factors" .
"boundary-value problem" .
"eigenvalues" .
_:Nfc9f49f7ec654bf68e40c1c78464e5d2 .
_:N65087158cd2e439fb09b9ab6007c72a4 .
"0146-4116" .
"asymptotics of eigenvalues" .
"https://doi.org/10.3103/s0146411616070105" .
.
"Demidov Yaroslavl State University, ul. Sovetskaya 14, 150000, Yaroslavl, Russia" .
.
"0005-1047" .
_:Nc95ca8bee0824bbf929eb35ac7a77d1f .
.
_:N65087158cd2e439fb09b9ab6007c72a4 "pub.1054012523" .
"small neighborhood" .
_:N97a4a5cb095c45deaa146d023344dc04 "7" .
_:N65087158cd2e439fb09b9ab6007c72a4 "dimensions_id" .
.
"linear differential equations" .
"en" .
.
_:Nc95ca8bee0824bbf929eb35ac7a77d1f .
"small factor" .
"2021-11-01T18:27" .
"Electrical and Electronic Engineering" .
"problem" .
"derivatives" .
_:N97a4a5cb095c45deaa146d023344dc04 .
.
"asymptotic behavior" .
"Engineering" .
"first boundary-value problem" .
_:N986346642d8740859546fe67e00810d7 .
"https://scigraph.springernature.com/explorer/license/" .
.
.
"asymptotics" .
"2016-12-01" .
"behavior of coefficients" .
"equations" .
.
"articles" .
.
.
"Kaschenko" .
"Asymptotics of eigenvalues of the first boundary-value problem for singularly perturbed second-order differential equation with turning points" .
.
_:Ndd94d9beac0e424cb6fe5f89d05ec530 "50" .
.
.
.
"differential equations" .
"values" .
"results" .
.
"main results" .
.
_:Ndd94d9beac0e424cb6fe5f89d05ec530 .
_:Nc95ca8bee0824bbf929eb35ac7a77d1f .
"636-656" .
.
_:N986346642d8740859546fe67e00810d7 .
.
"assumption" .
"Information and Computing Sciences" .
_:Nfc9f49f7ec654bf68e40c1c78464e5d2 "Springer Nature - SN SciGraph project" .
"We consider a second-order linear differential equation of with a small factor at the highest derivative. We study the asymptotic behavior of eigenvalues of the first boundary-value problem (the Dirichlet problem) under the assumption that turning points (points where the coefficient at the first derivative equals to zero) exist. It has been shown that only the behavior of coefficients of the equation in a small neighborhood of the turning points is essential. The main result is a theorem on the limit values of the eigenvalues of the first boundary-value problem." .
"second-order differential equations" .
_:N986346642d8740859546fe67e00810d7 "doi" .
_:N97a4a5cb095c45deaa146d023344dc04 .
"Automatic Control and Computer Sciences" .
.
_:Ndd94d9beac0e424cb6fe5f89d05ec530 .
.
.
"false"^^ .
"theorem" .
_:N986346642d8740859546fe67e00810d7 "10.3103/s0146411616070105" .
"National Research Nuclear University MEPhI, sh. Kashirskoe 31, 115409, Moscow, Russia" .
"neighborhood" .
.
_:N65087158cd2e439fb09b9ab6007c72a4 .