Mathematics of the USSR-Sbornik
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Mat. Sb.:
Year:
Volume:
Issue:
Page:
Find






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


Mathematics of the USSR-Sbornik, 1972, Volume 17, Issue 4, Pages 571–582
DOI: https://doi.org/10.1070/SM1972v017n04ABEH001603
(Mi sm3199)
 

This article is cited in 52 scientific papers (total in 52 papers)

Differential equations on graphs

A. I. Vol'pert
References:
Abstract: The differential equations encountered in various applications may be treated as equations on graphs. In the paper it is shown that the structure of the graph allows us to investigate the properties of the solutions of such equations.
Bibliography: 3 titles.
Received: 25.06.1971
Bibliographic databases:
UDC: 517.9
MSC: Primary 05C99, 34C99; Secondary 80A30, 92A05, 35K50
Language: English
Original paper language: Russian
Citation: A. I. Vol'pert, “Differential equations on graphs”, Math. USSR-Sb., 17:4 (1972), 571–582
Citation in format AMSBIB
\Bibitem{Vol72}
\by A.~I.~Vol'pert
\paper Differential equations on graphs
\jour Math. USSR-Sb.
\yr 1972
\vol 17
\issue 4
\pages 571--582
\mathnet{http://mi.mathnet.ru/eng/sm3199}
\crossref{https://doi.org/10.1070/SM1972v017n04ABEH001603}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=316796}
\zmath{https://zbmath.org/?q=an:0242.35015}
Linking options:
  • https://www.mathnet.ru/eng/sm3199
  • https://doi.org/10.1070/SM1972v017n04ABEH001603
  • https://www.mathnet.ru/eng/sm/v130/i4/p578
  • This publication is cited in the following 52 articles:
    1. Gregory Yablonsky, Vladislav Fedotov, “Distinguishing Ideal and Non-Ideal Chemical Systems Based on Kinetic Behavior”, Entropy, 27:1 (2025), 77  crossref
    2. Dániel András Drexler, Ilona Nagy, Valery G. Romanovski, “Stability analysis of the singular points and Hopf bifurcations of a tumor growth control model”, Math Methods in App Sciences, 47:7 (2024), 5677  crossref
    3. Levente Kovács, Tamás Ferenci, Balázs Gombos, András Füredi, Imre Rudas, Gergely Szakács, Dániel András Drexler, “Positive Impulsive Control of Tumor Therapy—A Cyber-Medical Approach”, IEEE Trans. Syst. Man Cybern, Syst., 54:1 (2024), 597  crossref
    4. Marc R. Roussel, Talmon Soares, “Graph-based, dynamics-preserving reduction of (bio)chemical systems”, J. Math. Biol., 89:4 (2024)  crossref
    5. Vitaliy R. Trishch, Mykhailo O. Vilboi, Gregory S. Yablonsky, Dmytro O. Kovaliuk, “Hydrogen and CO Over-Equilibria in Catalytic Reactions of Methane Reforming”, Catalysts, 14:11 (2024), 773  crossref
    6. Jingjia Wang, Yongguang Yu, Jian Hou, Xiangyun Meng, “Local error analysis of L1 scheme for time-fractional diffusion equation on a star-shaped pipe network”, Phys. Scr., 99:12 (2024), 125274  crossref
    7. Máté László Telek, Elisenda Feliu, Jason M. Haugh, “Topological descriptors of the parameter region of multistationarity: Deciding upon connectivity”, PLoS Comput Biol, 19:3 (2023), e1010970  crossref
    8. Vitaliy R. Trishch, Gregory S. Yablonsky, Denis Constales, Yuriy O. Beznosyk, “Conservatively perturbed equilibrium in multi-route catalytic reactions”, Journal of Non-Equilibrium Thermodynamics, 48:2 (2023), 229  crossref
    9. Vitaliy R. Trishch, Yuriy O. Beznosyk, Denis Constales, Gregory S. Yablonsky, “Over-Equilibrium as a Result of Conservatively-Perturbed Equilibrium (Acyclic and Cyclic Mechanisms)”, Journal of Non-Equilibrium Thermodynamics, 47:1 (2022), 103  crossref
    10. Elisenda Feliu, Sebastian Walcher, Carsten Wiuf, “Critical Parameters for Singular Perturbation Reductions of Chemical Reaction Networks”, J Nonlinear Sci, 32:6 (2022)  crossref
    11. Suresh Rasappan, K. A. Niranjan Kumar, R. Narmada Devi, Ahmed J. Obaid, Advances in Intelligent Systems and Computing, 1422, Proceedings of 2nd International Conference on Mathematical Modeling and Computational Science, 2022, 523  crossref
    12. Dániel András Drexler, Levente Kovács, “Optimization of Low Dose Metronomic Therapy based on Pharmacological Parameters”, IFAC-PapersOnLine, 54:15 (2021), 221  crossref
    13. Hakki Ulaş Ünal, Marc R. Roussel, Islam Boussaada, Silviu-Iulian Niculescu, “Insights from a qualitative analysis of a gene expression model with delays”, IFAC-PapersOnLine, 54:9 (2021), 770  crossref
    14. Angélica Torres, Elisenda Feliu, “Symbolic Proof of Bistability in Reaction Networks”, SIAM J. Appl. Dyn. Syst., 20:1 (2021), 1  crossref
    15. Daniel Andras Drexler, Ilona Nagy, Valery Romanovski, 2021 IEEE 21st International Symposium on Computational Intelligence and Informatics (CINTI), 2021, 000037  crossref
    16. Gulnaz Kildibaeva, Sofya Mustafina, Albina Karamova, Svetlana Mustafina, Oleg Larin, 2020 International Conference on Information Technology and Nanotechnology (ITNT), 2020, 1  crossref
    17. Gregory S Yablonsky, Denis Constales, Guy B Marin, “Joint kinetics: a new paradigm for chemical kinetics and chemical engineering”, Current Opinion in Chemical Engineering, 29 (2020), 83  crossref
    18. Yiming Xi, Xinquan Liu, Denis Constales, Gregory S. Yablonsky, “Perturbed and Unperturbed: Analyzing the Conservatively Perturbed Equilibrium (Linear Case)”, Entropy, 22:10 (2020), 1160  crossref
    19. Daniele Cappelletti, Elisenda Feliu, Carsten Wiuf, “Addition of flow reactions preserving multistationarity and bistability”, Mathematical Biosciences, 320 (2020), 108295  crossref
    20. Gregory S. Yablonsky, Daniel Branco, Guy B. Marin, Denis Constales, “Swapping the equilibrium”, Chemical Engineering Science, 205 (2019), 165  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics
    Statistics & downloads:
    Abstract page:2476
    Russian version PDF:1222
    English version PDF:67
    References:113
    First page:3
     
      Contact us:
    math-net2025_03@mi-ras.ru
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025