Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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


Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.:
Year:
Volume:
Issue:
Page:
Find




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

Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2018, Volume 156, Pages 73–83 (Mi into398)  
This article is cited in 6 scientific papers (total in 6 papers)

Mixed problem for a higher-order nonlinear pseudoparabolic equation

T. K. Yuldasheva, K. H. Shabadikovb

a M. F. Reshetnev Siberian State University of Science and Technologies
b Ferghana State University
Full-text PDF (196 kB) Citations (6)
References:
PDF
HTML
Abstract: We examine the unique generalized solvability of the mixed problem for a higher-order nonlinear pseudoparabolic equation with two parameters in mixed derivatives. Using the Fourier variable separation method, we reduce the problem to a countable system of nonlinear integral equations whose unique solvability can be proved by the method of successive approximations. We prove the continuous dependence of a generalized solution to the mixed problem on the initial functions and the positive parameters.
Keywords: pseudoparabolic equation, generalized derivative, method of successive approximations, parameter, unique solvability.
English version:
Journal of Mathematical Sciences (New York), 2021, Volume 254, Issue 6, Pages 776–787
DOI: https://doi.org/10.1007/s10958-021-05339-w
Bibliographic databases:
Document Type: Article
UDC: 517.968
MSC: 35A02, 35M10, 35S05
Language: Russian
Citation: T. K. Yuldashev, K. H. Shabadikov, “Mixed problem for a higher-order nonlinear pseudoparabolic equation”, Mathematical Analysis, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 156, VINITI, Moscow, 2018, 73–83; J. Math. Sci. (N. Y.), 254:6 (2021), 776–787
Citation in format AMSBIB
\Bibitem{YulSha18}
\by T.~K.~Yuldashev, K.~H.~Shabadikov
\paper Mixed problem for a higher-order nonlinear pseudoparabolic equation
\inbook Mathematical Analysis
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2018
\vol 156
\pages 73--83
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into398}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3939197}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2021
\vol 254
\issue 6
\pages 776--787
\crossref{https://doi.org/10.1007/s10958-021-05339-w}
Linking options:
  • https://www.mathnet.ru/eng/into398
  • https://www.mathnet.ru/eng/into/v156/p73
    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
    Statistics & downloads:
    Abstract page:214
    Full-text PDF :106
    References:44
    First page:4
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024