The Nature of Resonance in a Singular Perturbation Problem of Turning Point Type

1980 ◽  
Vol 11 (1) ◽  
pp. 1-22 ◽  
Author(s):  
P. P. N. de Groen
Keyword(s):  
Singular Perturbation ◽  
Turning Point ◽  
Singular Perturbation Problem ◽  
Perturbation Problem ◽  
Point Type

scholarly journals A singular perturbation problem with a turning point

1971 ◽  
Vol 5 (1) ◽  
pp. 61-73 ◽  
Author(s):  
A.M. Watts
Keyword(s):  
Singular Perturbation ◽  
Exact Solutions ◽  
Turning Point ◽  
Singular Perturbation Problem ◽  
Positive Parameter ◽  
Perturbation Problem ◽  
Small Positive Parameter ◽  
The Difference ◽  
Asymptotic Forms

We consider the equationεy″ + p(x)y′ + q(x)y = 0, where ε is a small positive parameter and p vanishes in the interval. Two asymptotic forms of solution are obtained and a rigorous estimate is made of the difference between the exact solutions and the asymptotic forms.

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