On a canonical standard form of second order linear ordinary differential equations with a small parameter

Atsushi Yoshikawa

doi:10.3792/pjaa.63.98

On a canonical standard form of second order linear ordinary differential equations with a small parameter

Proceedings of the Japan Academy Series A Mathematical Sciences ◽

10.3792/pjaa.63.98 ◽

1987 ◽

Vol 63 (4) ◽

pp. 98-101

Author(s):

Atsushi Yoshikawa

Keyword(s):

Differential Equations ◽

Small Parameter ◽

Ordinary Differential Equations ◽

Standard Form ◽

Second Order ◽

Order Linear ◽

Linear Ordinary Differential Equations

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Second-Order Linear Ordinary Differential Equations

Differential Equations for Engineers ◽

10.1201/9781315154961-5 ◽

2017 ◽

pp. 113-162

Author(s):

David V. Kalbaugh

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

Second Order ◽

Order Linear ◽

Linear Ordinary Differential Equations

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A type of second order linear ordinary differential equations with periodic coefficients for which the characteristic exponents have exact expressions

Celestial Mechanics ◽

10.1007/bf01358404 ◽

1984 ◽

Vol 32 (1) ◽

pp. 73-86 ◽

Cited By ~ 38

Author(s):

Haruo Yoshida

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

Second Order ◽

Periodic Coefficients ◽

Order Linear ◽

Linear Ordinary Differential Equations ◽

Characteristic Exponents

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An Elementary Demonstration of the Existence of $s\ell(3,R)$ Symmetry for all Second-Order Linear Ordinary Differential Equations

SIAM Review ◽

10.1137/s0036144597316838 ◽

1998 ◽

Vol 40 (4) ◽

pp. 945-946 ◽

Cited By ~ 6

Author(s):

K. S. Govinder ◽

P. G. L. Leach

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

Second Order ◽

Order Linear ◽

Linear Ordinary Differential Equations ◽

R Symmetry

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Applications of Change of Variables in the Qualitative Theory of Second Order Linear Ordinary Differential Equations

SIAM Review ◽

10.1137/1018043 ◽

1976 ◽

Vol 18 (2) ◽

pp. 269-274 ◽

Cited By ~ 5

Author(s):

Jack W. Macki

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

Qualitative Theory ◽

Second Order ◽

Order Linear ◽

Linear Ordinary Differential Equations ◽

Change Of Variables

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Operator factorization and the solution of second-order linear ordinary differential equations

International Journal of Mathematical Education in Science and Technology ◽

10.1080/00207390601002815 ◽

2007 ◽

Vol 38 (2) ◽

pp. 189-211 ◽

Cited By ~ 4

Author(s):

W. Robin

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

Second Order ◽

Order Linear ◽

Linear Ordinary Differential Equations ◽

Operator Factorization

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Second order linear ordinary differential equations containing a large parameter

Proceedings of the Japan Academy ◽

10.3792/pja/1195524671 ◽

1958 ◽

Vol 34 (5) ◽

pp. 229-234 ◽

Cited By ~ 5

Author(s):

Yasutaka Sibuya

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

Second Order ◽

Large Parameter ◽

Order Linear ◽

Linear Ordinary Differential Equations

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On certain boundary value problems for second-order linear ordinary differential equations with singularities

Journal of Mathematical Analysis and Applications ◽

10.1016/0022-247x(84)90107-0 ◽

1984 ◽

Vol 101 (2) ◽

pp. 325-347 ◽

Cited By ~ 36

Author(s):

I.T. Kiguradze ◽

A.G. Lomtatidze

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

Boundary Value Problems ◽

Boundary Value ◽

Second Order ◽

Order Linear ◽

Linear Ordinary Differential Equations

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Second order linear ordinary differential equations with turning points and singularities. I.

Kodai Mathematical Seminar Reports ◽

10.2996/kmj/1138833574 ◽

1977 ◽

Vol 29 (1-2) ◽

pp. 88-102 ◽

Cited By ~ 1

Author(s):

Minoru Nakano

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

Turning Points ◽

Second Order ◽

Order Linear ◽

Linear Ordinary Differential Equations

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Variation of Parameter Method for Solving Homogeneous Second Order Linear Ordinary Differential Equations

Journal of Applied & Computational Mathematics ◽

10.4172/2168-9679.1000258 ◽

2015 ◽

Vol 04 (05) ◽

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

Second Order ◽

Parameter Method ◽

Order Linear ◽

Linear Ordinary Differential Equations

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A one-step method for the numerical solution of second order linear ordinary differential equations

Mathematics of Computation ◽

10.1090/s0025-5718-1964-0168121-5 ◽

1964 ◽

Vol 18 (88) ◽

pp. 664-664 ◽

Cited By ~ 3

Author(s):

J. T. Day

Keyword(s):

Differential Equations ◽

Numerical Solution ◽

Ordinary Differential Equations ◽

Second Order ◽

Step Method ◽

Order Linear ◽

Linear Ordinary Differential Equations ◽

One Step

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