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Local uniqueness of a boundary value problem in the complex plane

Name: Local uniqueness of a boundary value problem in the complex plane
Creator: Tatsuhiko J. Tabara
Keywords: boundary value problem, Linear boundary value problems for ordinary differential equations, complex plane, uniqueness, 0101 mathematics, 01 natural sciences, second-order linear differential equation with polynomial coefficients, Ordinary differential equations in the complex domain

descriptionPublicationkeyboard_double_arrow_right Article 01 Nov 1993Publisher:SAGE PublicationsJournal:Asymptotic Analysis, volume 7, pages 215-231 (issn: 0921-7134, eissn: 1875-8576,

Authors: Tatsuhiko J. Tabara;

doi: 10.3233/asy-1993-7305

Local uniqueness of a boundary value problem in the complex plane

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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.

Related Organizations

University of California System
United States

Keywords

boundary value problem, Linear boundary value problems for ordinary differential equations, complex plane, uniqueness, second-order linear differential equation with polynomial coefficients, Ordinary differential equations in the complex domain

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