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International Conference: 2004 - Dynamical Systems and Applications
July 5-10, 2004

Antalya, Turkey

Organizers
Akca Haydar, Basem S. Attili, Boucherif Abdelkader, Cho Yeol Je, Covachev Valery, Gyori Istvan, Maksimov Vyacheslav, Stavroulakis Ioannis P.

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On difference schemes for hyperbolic-elliptic equations
by
Allaberen Ashyralyev
Department of Mathematics, Fatih University, Istanbul, Turkey and International Turkmen-Turkish University, Ashgabat, Turkmenistan.
Coauthors: G.Judakova,Department of Computer Sciences,Turkmen Politechnical Institute, Ashgabat, Turkmenistan and P.E. Sobolevskii,Institute of Mathematics, Hebrew University

The nonlocal boundary value problem for hyperbolic-elliptic equation in a Hilbert space H is considered. The difference schemes approximately solving this boundary value problem are presented. The stability estimates for the solution of these difference schemes are established. In applications, the stability estimates for the solutions of the difference schemes of the mixed type boundary value problems for hyperbolic-elliptic equations are obtained.

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Salahatdinov M. S. (1974) Equations of Mixed-Composite Type. Tashkent: FAN, 156 p. (Russian)

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Djuraev T. D. (1979) Boundary Value Problems for Equations of Mixed and Mixed-Composite Types. Tashkent: FAN, 238 p. (Russian)

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Bazarov D. and Soltanov H. (1995) Some Local and Nonlocal Boundary Value Problems for Equations of Mixed and Mixed-Composite Types. Ashgabat: Ylym, 187 p. (Russian)

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Krein S.G.(1966) Linear Differential Equations in a Banach Space .Moskow:Nauka.(Russian)

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Ashyralyev A., Yurtsever A., Judakova G. On hyperbolic-elliptic equations in a Hilbert Space, in the book: Some Problems of Applied Mathematics.Fatih University. Istanbul, Turkey, 2000, pp.70-79.

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Ashyralyev A. and Sobolevskii P.E. A note on the difference schemes for hyperbolic equations, Abstract and Applied Analysis, l6, 2(2001), 63-70.

Date received: March 23, 2004

Copyright © 2004 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # canu-77.