Home / Archives / Vol. 43 No. 2 (219) (2009) / Mathematics ON CONNECTION OF ONE CLASS OF ONE-DIMENSIONAL PSEUDODIFFERENTIAL OPERATORS WITH SINGULAR INTEGRAL OPERATORS

V.V. Simonyan

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Abstract

The paper discusses a homogeneous one-dimensional pseudodifferential equation with a symbol of the form

A(x,ξ)=A0(ξ)+∑k=1Nthπα(x−λk+iαβ2)Ak(ξ)

(x,ξ,λ∈R,α>0,−1<β<1,k=1,2,…,N),

where Ak(ξ)(k=0,1,…,N) are locally integrable functions from class of symbols of non-negative order r . The method of bringing the pseudodifferential equation to a system of onedimensional singular integral equations with Cauchy’s kernel is proposed.

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Home / Archives / Vol. 43 No. 2 (219) (2009) / Mathematics ON CONNECTION OF ONE CLASS OF ONE-DIMENSIONAL PSEUDODIFFERENTIAL OPERATORS WITH SINGULAR INTEGRAL OPERATORS

Abstract

Author(s)

Table of Contents

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Home / Archives / Vol. 43 No. 2 (219) (2009) / Mathematics ON CONNECTION OF ONE CLASS OF ONE-DIMENSIONAL PSEUDODIFFERENTIAL OPERATORS WITH SINGULAR INTEGRAL OPERATORS

Abstract

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