the location of the right endpoint is one of the variables. Thus it is possible to see how the solution suddenly shifts from one with a boundary layer on the left to one with a boundary layer on the right when a certain integral changes sign. During such a transition there are boundary layers at both ends.
ABSTRACT. A uniformly valid asymptotic expansion for the solution to a class of singularly perturbed Volterra integral equations displaying exponential boundary layer behavior is established. Certain quasilinear ordinary differential equations are a noted special case, and a model for population growth with attrition is briefly discussed.
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