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Original Articles

A Note on the Stability of the Integral-Differential Equation of the Hyperbolic Type in a Hilbert Space

Pages 750-769 | Published online: 17 Sep 2008

REFERENCES

  • S. Ashirov and N. Kurbanmamedov ( 1987 ). Investigation of solution of one type of Volterra's integral equations . Izv. Vyssh. Uchebn. Zav., Matematika 9 : 3 – 8 .
  • S. Ashirov and Ya.D. Mamedov ( 1988 ). A Volterra-type integral equation . UMJ 40 ( 4 ): 510 – 515 .
  • S.G. Krein ( 1966 ). Linear Differential Equations in a Banach Space . Nauka , Moscow .
  • H.O. Fattorini ( 1985 ). Second Order Linear Differential Equations in Banach Spaces . Notas de Matematica , North-Holland, Amsterdam .
  • S. Piskarev and Y. Shaw ( 1997 ). On certain operator families related to cosine operator function . Taiwanese Journal of Mathematics 1 ( 4 ): 3585 – 3592 .
  • M. Ashyraliyev ( 2005 ). Generalizations of Gronwall's integral inequality and their discrete analogies . CWI Reports of MAS1, MAS-E0520. Available at http://www.cwi.nl/ftp/CWIreports/MAS/MAS-E0520.pdf .
  • A. Ashyralyev and P.E. Sobolevskii ( 2001 ). A note on the difference schemes for hyperbolic equations . Abstract and Applied Analysis 6 ( 2 ): 63 – 70 .
  • A. Ashyralyev and P.E. Sobolevskii ( 2004 ). New Difference Schemes for Partial Differential Equations . Birkhäuser Verlag , Basel, Boston, Berlin .
  • A. Ashyralyev and P.E. Sobolevskii ( 2005 ). Two new approaches for construction of the high order of accuracy difference schemes for hyperbolic differential equations . Discrete Dynamics in Nature and Society 2 : 183 – 213 .
  • A. Ashyralyev and M.E. Koksal ( 2005 ). On the second order of accuracy difference scheme for hyperbolic equations in a Hilbert space . Numerical Functional Analysis and Optimization 26 ( 7–8 ): 739 – 772 .
  • P.E. Sobolevskii ( 1975 ). Difference Methods for the Approximate Solutions of Differential Equations . Izdat. Voronezh. Gosud. Univ. , Voronezh [In Russian] .

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