Contemporary Mathematics. Fundamental Directions
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
Guidelines for authors
Publishing Ethics

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


CMFD:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Contemporary Mathematics. Fundamental Directions, 2006, Volume 19, Pages 179–197 (Mi cmfd71)  
This article is cited in 3 scientific papers (total in 3 papers)

On the Well-Posedness of the Cauchy Problem for Quasilinear Differential Equations of Neutral Type

T. A. Tadumadzea, N. Z. Gorgodzeb, I. V. Ramishvilic

a Tbilisi Ivane Javakhishvili State University, Ilia Vekua Institute of Applied Mathematics
b Akaki Tsereteli State University
c Georgian Technical University
Full-text PDF (252 kB) Citations (3)
References:
PDF
HTML
Abstract: The paper proves the theorems on the continuous dependence of solutions when perturbations of the initial moment, the initial vector, the initial functions, the matrix coefficients, am the nonlinear summand in the right-hand side are small in the Euclidean and integral topologies, respectively.
English version:
Journal of Mathematical Sciences, 2008, Volume 151, Issue 6, Pages 3611–3630
DOI: https://doi.org/10.1007/s10958-008-9041-3
Bibliographic databases:
UDC: 517.929
Language: Russian
Citation: T. A. Tadumadze, N. Z. Gorgodze, I. V. Ramishvili, “On the Well-Posedness of the Cauchy Problem for Quasilinear Differential Equations of Neutral Type”, Optimal control, CMFD, 19, PFUR, M., 2006, 179–197; Journal of Mathematical Sciences, 151:6 (2008), 3611–3630
Citation in format AMSBIB
\Bibitem{TadGorRam06}
\by T.~A.~Tadumadze, N.~Z.~Gorgodze, I.~V.~Ramishvili
\paper On the Well-Posedness of the Cauchy Problem for Quasilinear Differential Equations of Neutral Type
\inbook Optimal control
\serial CMFD
\yr 2006
\vol 19
\pages 179--197
\publ PFUR
\publaddr M.
\mathnet{http://mi.mathnet.ru/cmfd71}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2336478}
\zmath{https://zbmath.org/?q=an:1168.34051}
\transl
\jour Journal of Mathematical Sciences
\yr 2008
\vol 151
\issue 6
\pages 3611--3630
\crossref{https://doi.org/10.1007/s10958-008-9041-3}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-49649115455}
Linking options:
  • https://www.mathnet.ru/eng/cmfd71
  • https://www.mathnet.ru/eng/cmfd/v19/p179
    • This publication is cited in the following 3 articles:
    1. Gorgodze N., “Optimal Control of the Quasi-Linear Neutral Differential Equation”, Proceedings of the 6Th International Conference on Control and Optimization With Industrial Applications, Vol i, eds. Fikret A., Tamer B., Baku State Univ, Inst Applied Mathematics, 2018, 173–175  isi
    2. Nika Gorgodze, Ia Ramishvili, Tamaz Tadumadze, “Continuous dependence of a solution of a neutral functional differential equation on the right-hand side and initial data taking into account perturbations of variable delays”, Georgian Mathematical Journal, 23:4 (2016), 519  crossref
    3. T. A. Tadumadze, “On the well-posedness of the Cauchy problem for a functional differential equation taking into account variable delay perturbation”, Journal of Mathematical Sciences, 218:6 (2016), 844–847  mathnet  mathnet  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Современная математика. Фундаментальные направления
    Statistics & downloads:
    Abstract page:319
    Full-text PDF :96
    References:37
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025