asymptotics problem

Tom Chou · science forum beginner Joined: 03 Jun 2005 Posts: 2

Hi,
I've been racking my head over this one:
e^2 y'' + Q(x)y(x) = 0....  (0< x < 1) and y(0)=a, y(1)=b
as e -> 0
BUT, Q(x) has both poles and zeros, like tan(k*x)+ ..., or even tan^2(k*x)+...
So it seems standard WKB doesn't apply? Are there other transformations?
This form originally came from the Ricatti eqn
z'(x)= -g(x) + h(x)*z(x)*(1-z(x))/e...
<p>information leading to the arrest and prosecution of this equation
will be rewarded by an acknowledgement in any subsequent publication....

Tom Chou (http://www.biomath.ucla.edu/~tchou</A>) 310-206-2787 (O)
Dept. of Biomathematics, UCLA 310-825-8685 (FAX)
Los Angeles, CA 90095-1766 tomchou@ucla.edu

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