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POLYNOMIAL DECAY FOR SOLUTIONS OF HYPERBOLIC INTEGRODIFFERENTIAL EQUATIONS*

Published online by Cambridge University Press:  01 September 2008

T. BÁRTA
T. BÁRTA*
Affiliation:
Department of Mathematical Analysis, Faculty of Mathematics and Physics, Charles University, Prague, Sokolovska 83, 180 00 Prague 8, Czech Republic e-mail: [email protected]
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Abstract

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We consider a linear integrodifferential equation of second order in a Hilbert space and show that the solution tends to zero polynomially if the decay of the convolution kernel is polynomial. Both polynomials are of the same order.

Keywords

45D05
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 50 , Issue 3 , September 2008 , pp. 575 - 581
Copyright
Copyright © Glasgow Mathematical Journal Trust 2008

References

REFERENCES

1.Rivera, J. E. M. and Gomez, F. P. Q., Existence and decay in non-linear viscoelasticity, Boll.U.M.I. 6-B (8) (2003) 1–37.Google Scholar
2.Miller, R. K. and Wheeler, R. L., Well-posedness and stability of linear Volterra integrodifferential equations in abstract spaces, Funkcialaj Ekvacioj 21 (1978) 279–305.Google Scholar