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Local uniqueness of a boundary value problem in the complex plane

Article type: Research Article

Authors: Tabara, Tatsuhiko J.

Affiliations: Department of Mathematics, University of Southern California, Los Angeles, CA 90089-1113, USA

Abstract: We will consider the following boundary value problem for a second-order linear differential equation with polynomial coefficients in the complex plane: is there a differential equation of the specific type with linearly independent solutions y1(x) and y2(x) such that the ratio y1(x)/y2(x) can be prescribed both at the origin and at infinity? We shall derive uniqueness conditions for the problem.

DOI: 10.3233/ASY-1993-7305

Journal: Asymptotic Analysis, vol. 7, no. 3, pp. 215-231, 1993

Received 31 July 1990
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Revision received 12 December 1991
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Published: 1993
Price: EUR 27.50
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