Asymptotic solutions of singular perturbation problems for linear differential equations of elliptic type

1966 ◽  
Vol 23 (1) ◽  
pp. 26-86 ◽  
Author(s):  
W. Eckhaus ◽  
E. M. de Jager
Keyword(s):  
Differential Equations ◽  
Singular Perturbation ◽  
Singular Perturbation Problems ◽  
Linear Differential Equations ◽  
Asymptotic Solutions ◽  
Elliptic Type ◽  
Linear Differential ◽  
Perturbation Problems

Asymptotic theory for third-order differential equations with extension to higher odd-order equations

1991 ◽  
Vol 117 (3-4) ◽  
pp. 215-223 ◽  
Author(s):  
A. S. A. Al-Hammadi
Keyword(s):  
Differential Equations ◽  
Asymptotic Theory ◽  
Order Theory ◽  
Linear Differential Equations ◽  
Asymptotic Solutions ◽  
Third Order ◽  
Odd Order ◽  
Linear Differential ◽  
General Conditions

SynopsisAn asymptotic theory is developed for linear differential equations of odd order. Theory is applied with large coefficients. The forms of the asymptotic solutions are given under general conditions on the coefficients.

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