Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Izv. Vyssh. Uchebn. Zaved. Mat.:
Year:
Volume:
Issue:
Page:
Find




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

Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2021, Number 9, Pages 31–39
DOI: https://doi.org/10.26907/0021-3446-2021-9-31-39 (Mi ivm9711) 		 
Guiding functional families, Lyapunov vector functions, and the existence of Poisson bounded solutions

K. S. Lapin

Mordovian State Pedagogical University named after M.E. Evseviev, 11 a Studencheskaya str., Saransk, 430007 Russia
Full-text PDF (341 kB)
References:
PDF
HTML
DOI: https://doi.org/10.26907/0021-3446-2021-9-31-39
Abstract: On the basis of the method of guiding functional families and the method of Lyapunov vector functions we obtain sufficient condition for the existence of Poisson bounded solutions, as well as a sufficient condition for the existence of partially Poisson bounded solutions of systems of differential equations.
Keywords: vector Lyapunov function, rotation of the vector field, guiding function, guiding function, guiding functional family, Poisson boundedness of solution, partial Poisson boundedness of solution.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation МК-211.2020.1
Received: 10.10.2020
Revised: 29.11.2020
Accepted: 24.12.2020
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2021, Volume 65, Issue 9, Pages 26–32
DOI: https://doi.org/10.3103/S1066369X21090048
Document Type: Article
UDC: 517.925
Language: Russian
Citation: K. S. Lapin, “Guiding functional families, Lyapunov vector functions, and the existence of Poisson bounded solutions”, Izv. Vyssh. Uchebn. Zaved. Mat., 2021, no. 9, 31–39; Russian Math. (Iz. VUZ), 65:9 (2021), 26–32
Citation in format AMSBIB
\Bibitem{Lap21}
\by K.~S.~Lapin
\paper Guiding functional families, Lyapunov vector functions, and the existence of Poisson bounded solutions
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2021
\issue 9
\pages 31--39
\mathnet{http://mi.mathnet.ru/ivm9711}
\crossref{https://doi.org/10.26907/0021-3446-2021-9-31-39}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2021
\vol 65
\issue 9
\pages 26--32
\crossref{https://doi.org/10.3103/S1066369X21090048}
Linking options:
  • https://www.mathnet.ru/eng/ivm9711
  • https://www.mathnet.ru/eng/ivm/y2021/i9/p31
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
    Statistics & downloads:
    Abstract page:1553
    Full-text PDF :48
    References:22
    First page:13
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024