Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
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



Bul. Acad. Ştiinţe Repub. Mold. Mat.:
Year:
Volume:
Issue:
Page:
Find






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


Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2009, Number 3, Pages 81–95 (Mi basm240)  

Research articles

Singular limits of solutions to the Cauchy problem for second order linear differential equations in Hilbert spaces

Galina Rusu

Department of Mathematics and Informatics, Moldova State University, Cişinău, Moldova
References:
Abstract: We study the behavior of solutions to the problem
$$ \begin{cases} \varepsilon\Big(u''_\varepsilon(t)+A_1u_\varepsilon(t)\Big)+u'_\varepsilon(t)+ A_0u_\varepsilon(t)=f(t),\quad t>0,\\ u_\varepsilon(0)=u_0,\qquad u'_\varepsilon(0)=u_1, \end{cases} $$
in the Hilbert space $H$ as $\varepsilon\to0$, where $A_1$ and $A_0$ are two linear selfadjoint operators.
Keywords and phrases: singular perturbations, Cauchy problem, boundary function.
Received: 15.07.2009
Bibliographic databases:
Document Type: Article
Language: English
Citation: Galina Rusu, “Singular limits of solutions to the Cauchy problem for second order linear differential equations in Hilbert spaces”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2009, no. 3, 81–95
Citation in format AMSBIB
\Bibitem{Rus09}
\by Galina~Rusu
\paper Singular limits of solutions to the Cauchy problem for second order linear differential equations in Hilbert spaces
\jour Bul. Acad. \c Stiin\c te Repub. Mold. Mat.
\yr 2009
\issue 3
\pages 81--95
\mathnet{http://mi.mathnet.ru/basm240}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2643158}
\zmath{https://zbmath.org/?q=an:1192.35015}
Linking options:
  • https://www.mathnet.ru/eng/basm240
  • https://www.mathnet.ru/eng/basm/y2009/i3/p81
  • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024