The problem of eigenvalues and ?turning points? in the theory of systems of linear differential equations

1977 ◽  
Vol 28 (6) ◽  
pp. 600-609
Author(s):  
N. A. Sotnichenko ◽  
S. F. Feshchenko
Keyword(s):  
Differential Equations ◽  
Turning Points ◽  
Linear Differential Equations ◽  
Linear Differential

scholarly journals On the asymptotic series solution of some higher order linear differential equations at turning points

1984 ◽  
Vol 7 (3) ◽  
pp. 541-548
Author(s):  
Arthur D. Gorman
Keyword(s):  
Differential Equations ◽  
Series Solution ◽  
Turning Points ◽  
Asymptotic Series ◽  
Higher Order ◽  
Linear Differential Equations ◽  
Order Linear ◽  
Asymptotic Series Solution ◽  
Linear Differential

The Lagrange manifold (WKB) formalism enables the determination of the asymptotic series solution of second-order “wave type” differential equations at turning points. The formalism also applies to higher order linear differential equations, as we make explicit here illustrating with some4th order equations of physical significance.

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