Asymptotic solutions of a singularly perturbed linear system of differential equations with irregular singular point

2009 ◽  
Vol 12 (3) ◽  
pp. 429-445
Author(s):  
V. P. Yakovets’ ◽  
O. V. Holovchenko
Keyword(s):  
Singular Point ◽  
Linear System ◽  
Differential Equations ◽  
Singularly Perturbed ◽  
Asymptotic Solutions ◽  
System Of Differential Equations ◽  
Irregular Singular Point

On Integrals developable about a Singular Point of a Hamiltonian System of Differential Equations

1924 ◽  
Vol 22 (3) ◽  
pp. 325-349 ◽  
Author(s):  
T. M. Cherry
Keyword(s):  
Singular Point ◽  
Hamiltonian System ◽  
Characteristic Function ◽  
Differential Equations ◽  
Convergent Series ◽  
Hamiltonian Form ◽  
System Of Differential Equations ◽  
Image Position

Letbe a system of differential equations of Hamiltonian form, the characteristic function H being independent of t and expansible in a convergent series of powers of x1, … xn, y1, … yn in which the terms of lowest degree are

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