Asymptotic properties of solutions of a linear-conjugation boundary-value problem

descriptionPublicationkeyboard_double_arrow_right Article 01 Jun 1990 English Publisher:Springer Science and Business Media LLCJournal:Theoretical and Mathematical Physics, volume 83, pages 583-590 (issn: 0040-5779, eissn: 1573-9333,

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Authors: Meunargiya, O. V.;

doi: 10.1007/bf01018027

Asymptotic properties of solutions of a linear-conjugation boundary-value problem

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Abstract

Summary: We consider a linear conjugation boundary value problem and give a sufficient condition for it to have solutions with asymptotic behavior of the form \(1+O (1/z)\) at infinity. In the case when the coefficient of the problem is a characteristic matrix, we construct such solutions in explicit form.

Keywords

Boundary value problems in the complex plane, asymptotics at infinity, Riemann boundary value problem

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