Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports]
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


Sib. Èlektron. Mat. Izv.:
Year:
Volume:
Issue:
Page:
Find




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

Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2011, Volume 8, Pages 159–162 (Mi semr312)  
Riccati equation and linear oscillators of variable frequency

V. V. Ivanov

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
Full-text PDF (729 kB)
References:
PDF
HTML
Abstract: The necessary and sufficient conditions are presented for oscillability of the equation $\ddot x+\omega^2x=0$ with variable coefficient $\omega$.
Keywords: linear ocsillators of variable frequency, Riccati's equation and oscillability of linear systems, integral conditions of Wintner and Kamenev, explicit construction of a support solution.
Received July 6, 2011, published July 14, 2011
Document Type: Article
UDC: 517.926
MSC: 34C10
Language: Russian
Citation: V. V. Ivanov, “Riccati equation and linear oscillators of variable frequency”, Sib. Èlektron. Mat. Izv., 8 (2011), 159–162
Citation in format AMSBIB
\Bibitem{Iva11}
\by V.~V.~Ivanov
\paper Riccati equation and linear oscillators of variable frequency
\jour Sib. \`Elektron. Mat. Izv.
\yr 2011
\vol 8
\pages 159--162
\mathnet{http://mi.mathnet.ru/semr312}
Linking options:
  • https://www.mathnet.ru/eng/semr312
  • https://www.mathnet.ru/eng/semr/v8/p159
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Statistics & downloads:
    Abstract page:347
    Full-text PDF :139
    References:46
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024