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A class of generalized uniform asymptotic expansions

DOI: 10.1155/s0161171278000204

Keywords: asymptotic expansions , ordinary linear differential equations , uniform asymptotic expansions , and multivariable expanions.

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Abstract:

In [1] E. L. Reiss obtained a multivariable expansion of the problem L[y] ¢ ‰ y ¢ € 3+2 μy ¢ € 2+y=0, t>0;y(0; μ)=0, y ¢ € 2(0, μ)=1 by means of a technique which does not employ the traditional method of using a secularity condition in obtaining higher order approximations. In this paper Reiss' technique is formalized and new results are established.

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