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

Georgian Mathematical Journal

Editor-in-Chief: Kiguradze, Ivan / Buchukuri, T.

Editorial Board: Kvinikadze, M. / Bantsuri, R. / Baues, Hans-Joachim / Besov, O.V. / Bojarski, B. / Duduchava, R. / Engelbert, Hans-Jürgen / Gamkrelidze, R. / Gubeladze, J. / Hirzebruch, F. / Inassaridze, Hvedri / Jibladze, M. / Kadeishvili, T. / Kegel, Otto H. / Kharazishvili, Alexander / Kharibegashvili, S. / Khmaladze, E. / Kiguradze, Tariel / Kokilashvili, V. / Krushkal, S. I. / Kurzweil, J. / Kwapien, S. / Lerche, Hans Rudolf / Mawhin, Jean / Ricci, P.E. / Tarieladze, V. / Triebel, Hans / Vakhania, N. / Zanolin, Fabio


IMPACT FACTOR 2018: 0.551

CiteScore 2018: 0.52

SCImago Journal Rank (SJR) 2018: 0.320
Source Normalized Impact per Paper (SNIP) 2018: 0.711

Mathematical Citation Quotient (MCQ) 2018: 0.27

Online
ISSN
1572-9176
See all formats and pricing
More options …
Volume 7, Issue 4

Issues

A Note on the Theorem on Differential Inequalities

E. Bravyi
  • Department of Mathematical Analysis, Perm State Technical University, Komsomolsky str. 29a, Perm 614000, Russia
  • Other articles by this author:
  • De Gruyter OnlineGoogle Scholar
/ A. Lomtatidze
  • Department of Mathematical Analysis, Masaryk University, Janáčkovo nám. 2a, Brno 662 95, Czech Republic
  • Other articles by this author:
  • De Gruyter OnlineGoogle Scholar
/ B. Půža
  • Department of Mathematical Analysis, Masaryk University, Janáčkovo nám. 2a, Brno 662 95, Czech Republic
  • Other articles by this author:
  • De Gruyter OnlineGoogle Scholar
Published Online: 2010-02-23 | DOI: https://doi.org/10.1515/GMJ.2000.627

Abstract

It is proved that if a linear operator l : C([a, b], R) → L ([a, b], R) is nonpositive and for the Cauchy problem u″(t) + l(u)(t) + q(t), u(a) = c the theorem on differential inequalities is valid, then l is a Volterra operator.

Key words and phrases:: Linear functional differential equation; theorem on differential inequalities; Volterra operator

About the article

Received: 2000-05-29

Published Online: 2010-02-23

Published in Print: 2000-12-01


Citation Information: Georgian Mathematical Journal, Volume 7, Issue 4, Pages 627–631, ISSN (Online) 1572-9176, ISSN (Print) 1072-947X, DOI: https://doi.org/10.1515/GMJ.2000.627.

Export Citation

Citing Articles

Here you can find all Crossref-listed publications in which this article is cited. If you would like to receive automatic email messages as soon as this article is cited in other publications, simply activate the “Citation Alert” on the top of this page.

[1]
J. Šremr
Ukrainian Mathematical Journal, 2008, Volume 60, Number 2, Page 327

Comments (0)

Please log in or register to comment.
Log in