Simulation and the Logistics Systems Laboratory
Description:... DESCRIPTORS: *Continued fractions, *E QU ION *P r urb tion t eory Green's function, Differe tial equations. A problem of continuing interest is that of obtaining approximate solutions of the functional equation L(u) + (a(p) + lambda b(p))u = 0, where L is a linear transformation, in terms of the solution of the unperturbed equation L(u) + a(p)u = 0. U ING THE Green's function, or equival techni u s, n reg rdi g the term involving lambda as a forcing term, we can convert the first equation to the form u = f + lambda T(u), where T is a linear transformation. We pr ent a new approach to problems of this nature using the classical technique of continued fractions. (Author).
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