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Volumn 29, Issue 7-8, 2008, Pages 750-769

A note on the stability of the integral-differential equation of the hyperbolic type in a Hilbert space

Author keywords

Integral inequalities; Integral differential equation of the hyperbolic type

Indexed keywords

BANACH SPACES; DEFORMATION; DIFFERENCE EQUATIONS; DIFFERENTIAL EQUATIONS; ESTIMATION; HILBERT SPACES; INITIAL VALUE PROBLEMS; INTEGRAL EQUATIONS; SOLUTIONS;

EID: 52149092157     PISSN: 01630563     EISSN: 15322467     Source Type: Journal    
DOI: 10.1080/01630560802292069     Document Type: Article
Times cited : (37)

References (11)
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  • 2
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    • Ashirov, S.1    Mamedov, Y.D.2
  • 5
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    • S. Piskarev and Y. Shaw (1997). On certain operator families related to cosine operator function. Taiwanese Journal of Mathematics 1(4):3585-3592.
    • (1997) Taiwanese Journal of Mathematics , vol.1 , Issue.4 , pp. 3585-3592
    • Piskarev, S.1    Shaw, Y.2
  • 6
    • 77957826008 scopus 로고    scopus 로고
    • Generalizations of Gronwall's integral inequality and their discrete analogies
    • MAS-E0520. Available at
    • M. Ashyraliyev (2005). Generalizations of Gronwall's integral inequality and their discrete analogies. CWI Reports of MASI, MAS-E0520. Available at http://www.cwi.nl/ftp/CWIreports/MAS/MAS-E0520.pdf.
    • (2005) CWI Reports of MASI
    • Ashyraliyev, M.1
  • 7
    • 11144306903 scopus 로고    scopus 로고
    • A note on the difference schemes for hyperbolic equations
    • A. Ashyralyev and P.E. Sobolevskii (2001). A note on the difference schemes for hyperbolic equations. Abstract and Applied Analysis 6(2):63-70.
    • (2001) Abstract and Applied Analysis , vol.6 , Issue.2 , pp. 63-70
    • Ashyralyev, A.1    Sobolevskii, P.E.2
  • 9
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    • Two new approaches for construction of the high order of accuracy difference schemes for hyperbolic differential equations
    • 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.
    • (2005) Discrete Dynamics in Nature and Society , vol.2 , pp. 183-213
    • Ashyralyev, A.1    Sobolevskii, P.E.2
  • 10
    • 29744442302 scopus 로고    scopus 로고
    • On the second order of accuracy difference scheme for hyperbolic equations in a Hilbert space
    • 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.
    • (2005) Numerical Functional Analysis and Optimization , vol.26 , Issue.7-8 , pp. 739-772
    • Ashyralyev, A.1    Koksal, M.E.2


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