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A new basis for uniform asymptotic solution of differential equations containing one or several parameters

1971
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Transactions of the American Mathematical Society
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Introduction. The purpose of this paper is to put forward a ring-ideal theoretic basis for the theory of uniform asymptotic expansions, and to study a new elementary technique for the asymptotic solution of differential equations containing one or more parameters. In Part 1 we formulate a new notion of asymptotic expansion and ancillary concepts of formal convergence and formal series. Because we consider this formulation to have significance beyond the uses exhibited here, we make it at a

doi:10.1090/s0002-9947-1971-0285774-1
fatcat:ru3k4nf7tvfrfgertsyoj2w2fu