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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, 2007, Issue 2(15), Pages 37–40
DOI: https://doi.org/10.14498/vsgtu528 (Mi vsgtu528) 		 
Differential Equations

General functional-integral Volterra equation

T. K. Yuldasheva, Zh. A. Artykovab

a Kyrgyzstan State Financial Academy
b Osh State University
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DOI: https://doi.org/10.14498/vsgtu528
Abstract: We research the one-valued solvability of the integral Volterra equation of general type with given initial condition. The theorem on the existence and uniqueness of continuous solution, which satisfies the Lipschitz condition on the considered interval is proved. The method of successive approximations and the method of contracting mappings are used.
Received 26.03.2007
Document Type: Article
UDC: 517.968.22
Language: Russian
Citation: T. K. Yuldashev, Zh. A. Artykova, “General functional-integral Volterra equation”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 2(15) (2007), 37–40
Citation in format AMSBIB
\Bibitem{YulArt07}
\by T.~K.~Yuldashev, Zh.~A.~Artykova
\paper General functional-integral Volterra equation
\jour Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]
\yr 2007
\vol 2(15)
\pages 37--40
\mathnet{http://mi.mathnet.ru/vsgtu528}
\crossref{https://doi.org/10.14498/vsgtu528}
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    		Вестник Самарского государственного технического университета. Серия: Физико-математические науки
     
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