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ON A UNIQUENESS THEOREM

Name: ON A UNIQUENESS THEOREM
Creator: Ju N Frolov
Keywords: General theory of ordinary differential operators, Ordinary differential equations of infinite order, Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations

On a uniqueness theorem

descriptionPublicationkeyboard_double_arrow_right Article 28 Feb 1972Publisher:Steklov Mathematical InstituteJournal:Mathematics of the USSR-Izvestiya, volume 6, pages 241-248 (issn: 0025-5726,

Authors: Ju N Frolov;

doi: 10.1070/im1972v006n01abeh001873

ON A UNIQUENESS THEOREM

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Abstract

With an arbitrary solution of an operator equation of infinite order, a series of elementary solutions is associated. It is shown that if all coefficients of this series are zero, then the solution of the equation is identically zero.

Keywords

General theory of ordinary differential operators, Ordinary differential equations of infinite order, Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations

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