Jump to ContentJump to Main Navigation
Show Summary Details
More options …

Analysis

International mathematical journal of analysis and its applications


CiteScore 2018: 0.72

SCImago Journal Rank (SJR) 2018: 0.363
Source Normalized Impact per Paper (SNIP) 2018: 0.530

Mathematical Citation Quotient (MCQ) 2018: 0.36

Online
ISSN
2196-6753
See all formats and pricing
More options …
Volume 36, Issue 2

Issues

Weighted mixed spherical means and singular ultrahyperbolic equation

Lev N. Lyakhov
  • Corresponding author
  • Department of Applied Mathematics, Informatics and Mechanics, Voronezh State University, 1 Universitetskaya pl., 394006 Voronezh, Russia
  • Email
  • Other articles by this author:
  • De Gruyter OnlineGoogle Scholar
/ Elina L. Shishkina
  • Department of Applied Mathematics, Informatics and Mechanics, Voronezh State University, 1 Universitetskaya pl., 394006 Voronezh, Russia
  • Email
  • Other articles by this author:
  • De Gruyter OnlineGoogle Scholar
Published Online: 2015-09-04 | DOI: https://doi.org/10.1515/anly-2015-5006

Abstract

Weighted mixed spherical means are constructed by using a generalized shift (in a Euclidian space a generalized shift acts with respect to one variable and a usual shift acts with respect to other variables). We obtain the differential equation for weighted mixed spherical mean and prove theorems on weighted mixed spherical means applied to the solution of the B-ultrahyperbolic equation.

Keywords: Weighted mixed spherical mean; B-ultrahyperbolic equation; Bessel operator; generalized shift

MSC: 42B20; 42B37; 35L81; 39-02

About the article

Received: 2015-01-28

Accepted: 2015-06-10

Published Online: 2015-09-04

Published in Print: 2016-05-01


Citation Information: Analysis, Volume 36, Issue 2, Pages 65–70, ISSN (Online) 2196-6753, ISSN (Print) 0174-4747, DOI: https://doi.org/10.1515/anly-2015-5006.

Export Citation

© 2016 by De Gruyter.Get Permission

Comments (0)

Please log in or register to comment.
Log in