Asymptotics of the solutions of integral equations with a difference kernel

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 1982 English Publisher:Springer Science and Business Media LLCJournal:Ukrainian Mathematical Journal, volume 34, pages 75-80 (issn: 0041-5995, eissn: 1573-9376,

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Authors: Antonishin, I. O.;

doi: 10.1007/bf01086137

Asymptotics of the solutions of integral equations with a difference kernel

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Abstract

\textit{S. Karlin} [Pac. J. Math. 5, 229-257 (1955; Zbl 0067.349)] considered equations of the form \[ (1)\quad u(\xi)-\int^{\infty}_{- \infty}u(\xi -t)dF(t)=g(\xi),\quad -\infty

Related Organizations

Russian Academy of Sciences
Russian Federation

Keywords

convergence rate, asymptotic expansion, difference kernel, Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type), Asymptotics of solutions to integral equations

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