2009; Physical and Mathematical Sciences, 43(2 (219): 8–15
Shared with The Gufo

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*

Received: 2025-02-27 · Published: 2009-06-26

© 2009 The Author(s) and the original publisher.

CC BY 4.0 This work is licensed under a Creative Commons Attribution 4.0 International License.
Shared article.
Original title
Home / Archives / Vol. 43 No. 2 (219) (2009) / Mathematics ON CONNECTION OF ONE CLASS OF ONE-DIMENSIONAL PSEUDODIFFERENTIAL OPERATORS WITH SINGULAR INTEGRAL OPERATORS
Author
V.V. Simonyan
Published
2009-06-26
Licence
Creative Commons Attribution 4.0 International

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.
1 / ? 100% Open in new tab Download Cite

Loading the full text…

Download Follow Updates