Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Zh. Vychisl. Mat. Mat. Fiz.:
Year:
Volume:
Issue:
Page:
Find




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

Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2024, Volume 64, Number 6, Pages 1008–1015
DOI: https://doi.org/10.31857/S0044466924060096 (Mi zvmmf11771) 		 
Ordinary differential equations

Existence of solutions to the non-self-adjoint Sturm–Liouville problem with discontinuous nonlinearity

O. V. Baskov, D. K. Potapov

St. Petersburg State University, 199034, St. Petersburg, Russia
Full-text PDF
DOI: https://doi.org/10.31857/S0044466924060096
Abstract: We examine the existence of solutions to the Sturm–Liouville problem with a non-self-adjoint differential operator and discontinuous nonlinearity in the phase variable. For positive values of the spectral parameter, theorems on the existence of nontrivial (positive and negative) solutions of the problem are proved. Examples illustrating the theorems are given.
Key words: Sturm–Liouville problem, non-self-adjoint differential operator, discontinuous nonlinearity, nontrivial solutions.
Funding agency Grant number
Russian Science Foundation 23-21-00069
This research was funded by the Russian Science Foundation, project no. 23-21-00069, https://rscf.ru/en/project/23-21-00069/.
Received: 20.12.2023
Accepted: 06.03.2024
English version:
Computational Mathematics and Mathematical Physics, 2024, Volume 64, Issue 6, Pages 1254–1260
DOI: https://doi.org/10.1134/S0965542524700489
Bibliographic databases:
Document Type: Article
UDC: 517.911.5+517.927
Language: Russian
Citation: O. V. Baskov, D. K. Potapov, “Existence of solutions to the non-self-adjoint Sturm–Liouville problem with discontinuous nonlinearity”, Zh. Vychisl. Mat. Mat. Fiz., 64:6 (2024), 1008–1015; Comput. Math. Math. Phys., 64:6 (2024), 1254–1260
Citation in format AMSBIB
\Bibitem{BasPot24}
\by O.~V.~Baskov, D.~K.~Potapov
\paper Existence of solutions to the non-self-adjoint Sturm--Liouville problem with discontinuous nonlinearity
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2024
\vol 64
\issue 6
\pages 1008--1015
\mathnet{http://mi.mathnet.ru/zvmmf11771}
\crossref{https://doi.org/10.31857/S0044466924060096}
\elib{https://elibrary.ru/item.asp?id=75171318}
\transl
\jour Comput. Math. Math. Phys.
\yr 2024
\vol 64
\issue 6
\pages 1254--1260
\crossref{https://doi.org/10.1134/S0965542524700489}
Linking options:
  • https://www.mathnet.ru/eng/zvmmf11771
  • https://www.mathnet.ru/eng/zvmmf/v64/i6/p1008
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025