Linear Ordinary Differential Equations: Basic Facts and Infinitesimal Neighborhoods at an Irregular Singular Point

Lecture Notes in Mathematics - Divergent Series, Summability and Resurgence II ◽

10.1007/978-3-319-29075-1_3 ◽

2016 ◽

pp. 63-120

Author(s):

Michèle Loday-Richaud

Keyword(s):

Singular Point ◽

Differential Equations ◽

Ordinary Differential Equations ◽

Linear Ordinary Differential Equations ◽

Irregular Singular Point ◽

Basic Facts

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On admissible boundary conditions at an irregular singular point for systems of linear ordinary differential equations

USSR Computational Mathematics and Mathematical Physics ◽

10.1016/s0041-5553(83)80124-4 ◽

1983 ◽

Vol 23 (4) ◽

pp. 23-35

Author(s):

N.B. Konyukhova

Keyword(s):

Singular Point ◽

Differential Equations ◽

Boundary Conditions ◽

Ordinary Differential Equations ◽

Linear Ordinary Differential Equations ◽

Irregular Singular Point

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A two point connection problem for n-th order single linear ordinary differential equations with an irregular singular point of rank two

Japanese journal of mathematics ◽

10.4099/jjm1924.40.0_11 ◽

1971 ◽

Vol 40 (0) ◽

pp. 11-62 ◽

Cited By ~ 5

Author(s):

Mitsuhiko KOHNO

Keyword(s):

Singular Point ◽

Differential Equations ◽

Ordinary Differential Equations ◽

Linear Ordinary Differential Equations ◽

Connection Problem ◽

Irregular Singular Point

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Nonlinear Ordinary Differential Equations Resolvable with Respect to an Irregular Singular Point

Journal of Differential Equations ◽

10.1006/jdeq.1994.1048 ◽

1994 ◽

Vol 109 (1) ◽

pp. 201-221 ◽

Cited By ~ 5

Author(s):

A. Tovbis

Keyword(s):

Singular Point ◽

Differential Equations ◽

Ordinary Differential Equations ◽

Nonlinear Ordinary Differential Equations ◽

Irregular Singular Point

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Asymptotic Behavior of Solutions of Linear Systems of Ordinary Differential Equations Near an Irregular Singular Point

American Journal of Mathematics ◽

10.2307/2373271 ◽

1969 ◽

Vol 91 (1) ◽

pp. 95 ◽

Cited By ~ 6

Author(s):

Donald A. Lutz

Keyword(s):

Asymptotic Behavior ◽

Singular Point ◽

Differential Equations ◽

Ordinary Differential Equations ◽

Linear Systems ◽

Asymptotic Behavior Of Solutions ◽

Irregular Singular Point

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Transfer of admissible boundary conditions from a singular point for systems of linear ordinary differential equations

Russian Journal of Numerical Analysis and Mathematical Modelling ◽

10.1515/rnam.1986.1.4.245 ◽

1986 ◽

Vol 1 (4) ◽

Cited By ~ 9

Author(s):

A. A. ABRAMOV ◽

N. B. KONYUKHOVA

Keyword(s):

Singular Point ◽

Differential Equations ◽

Boundary Conditions ◽

Ordinary Differential Equations ◽

Linear Ordinary Differential Equations

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On the boundary conditions at a singular point for linear ordinary differential equations

USSR Computational Mathematics and Mathematical Physics ◽

10.1016/0041-5553(71)90122-4 ◽

1971 ◽

Vol 11 (1) ◽

pp. 363-367 ◽

Cited By ~ 3

Author(s):

A.A. Abramov

Keyword(s):

Singular Point ◽

Differential Equations ◽

Boundary Conditions ◽

Ordinary Differential Equations ◽

Linear Ordinary Differential Equations

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Asymptotic Construction of Solutions of Ordinary Differential Equations with Holomorphic Coefficients in the Neighborhood of an Irregular Singular Point

Developments and Novel Approaches in Nonlinear Solid Body Mechanics - Advanced Structured Materials ◽

10.1007/978-3-030-50460-1_2 ◽

2020 ◽

pp. 17-22

Author(s):

Maria V. Korovina ◽

Vladimir Yu. Smirnov

Keyword(s):

Singular Point ◽

Differential Equations ◽

Ordinary Differential Equations ◽

Irregular Singular Point

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Analytic expressions for bounded solutions of non-linear ordinary differential equations with an irregular type singular point

Annali di Matematica Pura ed Applicata (1923 -) ◽

10.1007/bf02410798 ◽

1969 ◽

Vol 82 (1) ◽

pp. 189-256 ◽

Cited By ~ 14

Author(s):

Masahiro Iwano

Keyword(s):

Singular Point ◽

Differential Equations ◽

Ordinary Differential Equations ◽

Bounded Solutions ◽

Linear Ordinary Differential Equations ◽

Non Linear ◽

Analytic Expressions

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A Connection Problem for a Regular and an Irregular Singular Point of Complex Ordinary Differential Equations

SIAM Journal on Mathematical Analysis ◽

10.1137/0515021 ◽

1984 ◽

Vol 15 (2) ◽

pp. 253-271 ◽

Cited By ~ 12

Author(s):

Reinhard Schäfke

Keyword(s):

Singular Point ◽

Differential Equations ◽

Ordinary Differential Equations ◽

Connection Problem ◽

Irregular Singular Point

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On the study of asymptotic solutions of a system of linear ordinary differential equations containing a parameter with a singular point

Japanese journal of mathematics ◽

10.4099/jjm1924.35.0_1 ◽

1965 ◽

Vol 35 (0) ◽

pp. 1-30 ◽

Cited By ~ 3

Author(s):

Masahiro IWANO

Keyword(s):

Singular Point ◽

Differential Equations ◽

Ordinary Differential Equations ◽

Asymptotic Solutions ◽

Linear Ordinary Differential Equations

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