Eurasian Mathematical Journal
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


Eurasian Math. J.:
Year:
Volume:
Issue:
Page:
Find




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

Eurasian Mathematical Journal, 2013, Volume 4, Number 4, Pages 64–87 (Mi emj145)  
This article is cited in 3 scientific papers (total in 4 papers)

Linear Volterra integro-differential second-order equations unresolved with respect to the highest derivative

N. D. Kopachevsky, E. V. Syomkina

Department of Mathematics and Informatics, Taurida National V. Vernadsky University, Academician Vernadsky Ave. 4, 95007 Simferopol, Ukraine
Full-text PDF (443 kB) Citations (4)
References:
PDF
HTML
Abstract: We consider the Cauchy problem for Volterra integro-differential secondorder linear equations which describe an evolution of dynamical systems with infinite numbers of degrees of freedom taking into account relaxation effects. Existence theorems for strong solutions for three classes of complete integro-differential second-order equations are obtained.
Keywords and phrases: Volterra integro-differential equation, $C_0$-semigroup, self-adjoint operator.
Received: 25.10.2013
Document Type: Article
MSC: 39B42, 39B99
Language: English
Citation: N. D. Kopachevsky, E. V. Syomkina, “Linear Volterra integro-differential second-order equations unresolved with respect to the highest derivative”, Eurasian Math. J., 4:4 (2013), 64–87
Citation in format AMSBIB
\Bibitem{KopSyo13}
\by N.~D.~Kopachevsky, E.~V.~Syomkina
\paper Linear Volterra integro-differential second-order equations unresolved with respect to the highest derivative
\jour Eurasian Math. J.
\yr 2013
\vol 4
\issue 4
\pages 64--87
\mathnet{http://mi.mathnet.ru/emj145}
Linking options:
  • https://www.mathnet.ru/eng/emj145
  • https://www.mathnet.ru/eng/emj/v4/i4/p64
    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Eurasian Mathematical Journal
    Statistics & downloads:
    Abstract page:285
    Full-text PDF :115
    References:44
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024