Asymptotic Solutions of a 6th Order Differential Equation with Two Turning Points. Part I: Derivation by Method of Steepest Descent

B. Granoff; N. Bleistein

doi:10.1137/0503005

Asymptotic Solutions of a 6th Order Differential Equation with Two Turning Points. Part I: Derivation by Method of Steepest Descent

SIAM Journal on Mathematical Analysis ◽

10.1137/0503005 ◽

1972 ◽

Vol 3 (1) ◽

pp. 45-57 ◽

Cited By ~ 7

Author(s):

B. Granoff ◽

N. Bleistein

Keyword(s):

Differential Equation ◽

Order Differential Equation ◽

Turning Points ◽

Steepest Descent ◽

Asymptotic Solutions ◽

Method Of Steepest Descent

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Asymptotic Solutions of a 6th Order Differential Equation with Two Turning Points. Part II: Derivation by Reduction to a First Order System

SIAM Journal on Mathematical Analysis ◽

10.1137/0503012 ◽

1972 ◽

Vol 3 (1) ◽

pp. 93-104 ◽

Cited By ~ 1

Author(s):

B. Granoff

Keyword(s):

Differential Equation ◽

Order Differential Equation ◽

Turning Points ◽

Asymptotic Solutions ◽

Order System ◽

First Order

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Asymptotics of eigenvalues of the first boundary-value problem for singularly perturbed second-order differential equation with turning points

Automatic Control and Computer Sciences ◽

10.3103/s0146411616070105 ◽

2016 ◽

Vol 50 (7) ◽

pp. 636-656 ◽

Cited By ~ 1

Author(s):

S. A. Kaschenko

Keyword(s):

Differential Equation ◽

Boundary Value Problem ◽

Order Differential Equation ◽

Boundary Value ◽

Turning Points ◽

Second Order ◽

Singularly Perturbed ◽

Asymptotics Of Eigenvalues ◽

Second Order Differential Equation

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Asymptotic Expansions of Eigenvalues of Periodic and Antiperiodic Boundary Problems for Singularly Perturbed Second Order Diﬀerential Equation with Turning Points

Modeling and Analysis of Information Systems ◽

10.18255/1818-1015-2016-1-61-85 ◽

2016 ◽

Vol 23 (1) ◽

pp. 61-85

Author(s):

S. A. Kashchenko

Keyword(s):

Differential Equation ◽

Asymptotic Expansions ◽

Order Differential Equation ◽

Turning Points ◽

Second Order ◽

Singularly Perturbed ◽

Boundary Problems ◽

Second Order Differential Equation

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Asymptotic Solutions of a First-Order Differential Equation with Deviating Argument and Slowly Varying Coefficients

Nonlinear Oscillations ◽

10.1007/s11072-005-0026-6 ◽

2004 ◽

Vol 7 (4) ◽

pp. 461-472

Author(s):

Yu. A. Mitropol’skii ◽

G. Matarazzo ◽

A. Pompei ◽

V. G. Samoilenko

Keyword(s):

Differential Equation ◽

Order Differential Equation ◽

Asymptotic Solutions ◽

Deviating Argument ◽

First Order ◽

Varying Coefficients

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Asymptotics of Eigenvalues of First Boundary Value Problem for Singularly Pertubed Second-order Diﬀerential Equation with Turning Points

Modeling and Analysis of Information Systems ◽

10.18255/1818-1015-2015-5-682-710 ◽

2015 ◽

Vol 22 (5) ◽

pp. 682 ◽

Cited By ~ 4

Author(s):

S. A. Kaschenko

Keyword(s):

Differential Equation ◽

Boundary Value Problem ◽

Order Differential Equation ◽

Boundary Value ◽

Turning Points ◽

Second Order ◽

Asymptotics Of Eigenvalues ◽

Second Order Differential Equation

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Asymptotic solutions for a second-order differential equation with three-point boundary conditions

Applied Mathematics and Computation ◽

10.1016/j.amc.2006.07.110 ◽

2007 ◽

Vol 186 (1) ◽

pp. 469-473 ◽

Cited By ~ 5

Author(s):

Zengji Du ◽

Zhanbing Bai

Keyword(s):

Differential Equation ◽

Boundary Conditions ◽

Order Differential Equation ◽

Second Order ◽

Asymptotic Solutions ◽

Point Boundary ◽

Second Order Differential Equation

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Asymptotic Expansions of Eigenvalues of the First Boundary-Value Problem for Singularly Perturbed Second-Order Differential Equation with Turning Points

Automatic Control and Computer Sciences ◽

10.3103/s0146411617070112 ◽

2017 ◽

Vol 51 (7) ◽

pp. 592-605

Author(s):

S. A. Kashchenko

Keyword(s):

Differential Equation ◽

Boundary Value Problem ◽

Asymptotic Expansions ◽

Order Differential Equation ◽

Boundary Value ◽

Turning Points ◽

Second Order ◽

Singularly Perturbed ◽

Second Order Differential Equation

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Uniform asymptotic solutions of boundary and eigenvalue problems for a second-order ordinary differential equation with singular and turning points

Journal of Mathematical Analysis and Applications ◽

10.1016/0022-247x(88)90029-7 ◽

1988 ◽

Vol 134 (2) ◽

pp. 379-395 ◽

Cited By ~ 4

Author(s):

Donatus Uzodinma Anyanwu

Keyword(s):

Differential Equation ◽

Ordinary Differential Equation ◽

Eigenvalue Problems ◽

Turning Points ◽

Second Order ◽

Asymptotic Solutions ◽

Order Ordinary Differential Equation

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Asymptotic Expansions of Eigenvalues of the First Boundary Problem for Singularly Perturbed Second Order Diﬀerential Equation with Turning Points

Modeling and Analysis of Information Systems ◽

10.18255/1818-1015-2016-1-41-60 ◽

2016 ◽

Vol 23 (1) ◽

pp. 41-60 ◽

Cited By ~ 1

Author(s):

S. A. Kashchenko

Keyword(s):

Differential Equation ◽

Boundary Problem ◽

Asymptotic Expansions ◽

Order Differential Equation ◽

Turning Points ◽

Second Order ◽

Singularly Perturbed ◽

Second Order Differential Equation

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The asymptotic solutions of a linear differential equation of the second order with two turning points

Transactions of the American Mathematical Society ◽

10.1090/s0002-9947-1959-0105530-9 ◽

1959 ◽

Vol 90 (1) ◽

pp. 113-113 ◽

Cited By ~ 30

Author(s):

Rudolph E. Langer

Keyword(s):

Differential Equation ◽

Linear Differential Equation ◽

Turning Points ◽

Second Order ◽

Asymptotic Solutions ◽

Linear Differential

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