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Title: Singular Ibragimov–Mamontov Type Equations

Abstract

We study an Ibragimov–Mamontov type equation with singular Bessel operators playing the role of second order derivatives. We obtain a representation of the solution by using a special Bessel transform.

Authors:
 [1]; ;  [2]
  1. Voronezh State University (Russian Federation)
  2. Bunin Yelets State University (Russian Federation)
Publication Date:
OSTI Identifier:
22773953
Resource Type:
Journal Article
Journal Name:
Journal of Mathematical Sciences
Additional Journal Information:
Journal Volume: 232; Journal Issue: 4; Other Information: Copyright (c) 2018 Springer Science+Business Media, LLC, part of Springer Nature; http://www.springer-ny.com; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1072-3374
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICAL METHODS AND COMPUTING; BESSEL FUNCTIONS; CAUCHY PROBLEM; MATHEMATICAL SOLUTIONS

Citation Formats

Lyakhov, L. N., E-mail: levnlya@mail.ru, Yeletskikh, K. S., E-mail: kostan.yeletsky@gmail.com, and Roshchupkin, S. A., E-mail: roshupkinsa@mail.ru. Singular Ibragimov–Mamontov Type Equations. United States: N. p., 2018. Web. doi:10.1007/S10958-018-3882-1.
Lyakhov, L. N., E-mail: levnlya@mail.ru, Yeletskikh, K. S., E-mail: kostan.yeletsky@gmail.com, & Roshchupkin, S. A., E-mail: roshupkinsa@mail.ru. Singular Ibragimov–Mamontov Type Equations. United States. doi:10.1007/S10958-018-3882-1.
Lyakhov, L. N., E-mail: levnlya@mail.ru, Yeletskikh, K. S., E-mail: kostan.yeletsky@gmail.com, and Roshchupkin, S. A., E-mail: roshupkinsa@mail.ru. Sun . "Singular Ibragimov–Mamontov Type Equations". United States. doi:10.1007/S10958-018-3882-1.
@article{osti_22773953,
title = {Singular Ibragimov–Mamontov Type Equations},
author = {Lyakhov, L. N., E-mail: levnlya@mail.ru and Yeletskikh, K. S., E-mail: kostan.yeletsky@gmail.com and Roshchupkin, S. A., E-mail: roshupkinsa@mail.ru},
abstractNote = {We study an Ibragimov–Mamontov type equation with singular Bessel operators playing the role of second order derivatives. We obtain a representation of the solution by using a special Bessel transform.},
doi = {10.1007/S10958-018-3882-1},
journal = {Journal of Mathematical Sciences},
issn = {1072-3374},
number = 4,
volume = 232,
place = {United States},
year = {2018},
month = {7}
}