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Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]:
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Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, 2009, Issue 2(19), Pages 38–44
DOI: https://doi.org/10.14498/vsgtu672 (Mi vsgtu672) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Differential Equations

Nonexplicit evolution Volterra integral equation of the first kind with nonlinear integral delay

T. K. Yuldashev

Dept. of Science Education, Osh State Law Institute, Osh, Kyrgyzstan
Full-text PDF (158 kB) Citations (4)
(published under the terms of the Creative Commons Attribution 4.0 International License)
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DOI: https://doi.org/10.14498/vsgtu672
Abstract: We prove a theorem of existence, uniqueness and stability of solution of the implicit evolution Volterra integral equation with respect to the initial value condition on the given finite segment. Here we use the method of successive approximation in combination with the method of compressing mapping.
Keywords: implicit Volterra integral equation, existence and uniqueness of solutions.
Original article submitted 30/I/2009
revision submitted – 01/III/2009
Bibliographic databases:
Document Type: Article
UDC: 517.968.22
MSC: 45D05
Language: Russian
Citation: T. K. Yuldashev, “Nonexplicit evolution Volterra integral equation of the first kind with nonlinear integral delay”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 2(19) (2009), 38–44
Citation in format AMSBIB
\Bibitem{Yul09}
\by T.~K.~Yuldashev
\paper Nonexplicit evolution Volterra integral equation of the first kind with nonlinear integral delay
\jour Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]
\yr 2009
\vol 2(19)
\pages 38--44
\mathnet{http://mi.mathnet.ru/vsgtu672}
\crossref{https://doi.org/10.14498/vsgtu672}
Linking options:
  • https://www.mathnet.ru/eng/vsgtu672
  • https://www.mathnet.ru/eng/vsgtu/v119/p38
    • This publication is cited in the following 4 articles:
    1. T. K. Yuldashev, “Obratnaya zadacha dlya odnogo nelineinogo uravneniya v chastnykh proizvodnykh vosmogo poryadka”, Vestn. Sam. gos. tekhn. un-ta. Ser. Fiz.-mat. nauki, 19:1 (2015), 136–154  mathnet  crossref  zmath  elib
    2. T. K. Yuldashev, “Obratnaya zadacha dlya odnogo integro-differentsialnogo uravneniya Fredgolma v chastnykh proizvodnykh tretego poryadka”, Vestn. Sam. gos. tekhn. un-ta. Ser. Fiz.-mat. nauki, 1(34) (2014), 56–65  mathnet  crossref  zmath  elib
    3. T. K. Yuldashev, A. I. Seredkina, “Obratnaya zadacha dlya kvazilineinykh integro-differentsialnykh uravnenii v chastnykh proizvodnykh vysokogo poryadka”, Vestn. Sam. gos. tekhn. un-ta. Ser. Fiz.-mat. nauki, 3(32) (2013), 46–55  mathnet  crossref  zmath
    4. T. K. Yuldashev, “Obratnaya zadacha dlya nelineinogo uravneniya s psevdoparabolicheskim operatorom vysokogo poryadka”, Vestn. Sam. gos. tekhn. un-ta. Ser. Fiz.-mat. nauki, 3(28) (2012), 17–29  mathnet  crossref  zmath
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Вестник Самарского государственного технического университета. Серия: Физико-математические науки
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    Full-text PDF :365
    References:71
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