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The equations are vaild over a specific domain, x = 0..L

The equations are only bound at one point (thier "initial point") but at either 0 or L

f1(0)=0

f2(0)=100

f3(L)=0

f4(L)=100

(also an algebraic expression that links all of the functions)

Essentially, those functions bound at L are moving "backwards" with respect to those bound at 0.

My question is, is this an initial value problem, or a boundary value problem? I started in MAPLE, and it decided (automatically) that it was a BVP. In MATLAB I am attempting to use bvp4c to come up with a solution, but is it really even a BVP if it only has one boundary condition, essentially an initial conditition, but defined at different spatial coordinates for different functions?

Your insight is appreciated.