Abstract <p> Wiener–Hopf integral equations of the first kind belong to a class of Wiener–Hopf equations of nonnormal type to which the classical Wiener–Hopf method does not apply but the special factorization method is completely applicable. In this paper, we use the special factorization method to obtain solvability conditions for Wiener–Hopf equations of the first kind. </p>

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Solvability Conditions for a Class of Wiener–Hopf Integral Equations of the First Kind

  • G. A. Grigorian

摘要

Abstract

Wiener–Hopf integral equations of the first kind belong to a class of Wiener–Hopf equations of nonnormal type to which the classical Wiener–Hopf method does not apply but the special factorization method is completely applicable. In this paper, we use the special factorization method to obtain solvability conditions for Wiener–Hopf equations of the first kind.