Asymptotic stability for a class of integrodifferential equations

William E. Fitzgibbon

Czechoslovak Mathematical Journal (1988)

  • Volume: 38, Issue: 4, page 618-622
  • ISSN: 0011-4642

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Fitzgibbon, William E.. "Asymptotic stability for a class of integrodifferential equations." Czechoslovak Mathematical Journal 38.4 (1988): 618-622. <http://eudml.org/doc/13736>.

@article{Fitzgibbon1988,
author = {Fitzgibbon, William E.},
journal = {Czechoslovak Mathematical Journal},
keywords = {asymptotic stability; abstract semi-linear Volterra equations; infinite delay},
language = {eng},
number = {4},
pages = {618-622},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Asymptotic stability for a class of integrodifferential equations},
url = {http://eudml.org/doc/13736},
volume = {38},
year = {1988},
}

TY - JOUR
AU - Fitzgibbon, William E.
TI - Asymptotic stability for a class of integrodifferential equations
JO - Czechoslovak Mathematical Journal
PY - 1988
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 38
IS - 4
SP - 618
EP - 622
LA - eng
KW - asymptotic stability; abstract semi-linear Volterra equations; infinite delay
UR - http://eudml.org/doc/13736
ER -

References

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  2. W. Fitzgibbon, Abstract hyperbolic integrodifferential equations, J. Math, Anal. Appl., 84(1981),299-310. (1981) Zbl0506.45016MR0639664
  3. W. Fitzgibbon, Convergence theorem for semilinear Volterra equations with infinite delay, J. Integral Equations (to appear). MR0785859
  4. W. Fitzgibbon, 10.1007/BF01366497, Monat Math, 84 (1977), 275-288. (1977) Zbl0382.45003MR0481982DOI10.1007/BF01366497
  5. W. Fitzgibbon, 10.1016/0362-546X(80)90075-9, J. Nonlinear Analysis: TMA, 4 (1980), 745-760. (1980) Zbl0442.45014MR0582543DOI10.1016/0362-546X(80)90075-9
  6. A. Friedman, Partial Differential Equations, Holt, Rhinehart and Winston, New York, 1969. (1969) Zbl0224.35002MR0445088
  7. J. Goldstein, Semigroups of Operators and Abstract Cauchy Problems, Lecture Notes, Tulane University, 1970. (1970) Zbl0219.47037
  8. T. Kato, Perturbation Theory for Linear Operators, Springer-Verlag, Berlin, 1966. (1966) Zbl0148.12601MR0203473
  9. M. Heard, An abstract semilinear hyperbolic Volterra integrodifferential equations, Integral and Functional Differential Equations, Lecture notes in Pure and Applied Mathematics, 67, Marcel Dekker, 1979, New York, 185-193. (1979) MR0617048
  10. R. MacCamy, An integrodifferential equation with applications in heat flow, Q. Appl. Math. 35 (1977), 1-9. (1977) 
  11. J. Nunziato, On heat conduction in materials with memory, Q. Appl. Math. 29 (1971) 187-204. (1971) Zbl0227.73011MR0295683
  12. J. Nohel, Nonlinear Volterra equations for heat flow in materials with memory, Integral and Functional Differential Equations, Lecture Notes in Pure and Applied Mathematics 67, Marcel Dekker, 1979, New York, 3 - 82. (1979) MR0617039
  13. A. Pazy, Semigroups of Linear Operators and Applications to Partial Differential Equations, Springer-Verlag, Berlin, 1983. (1983) Zbl0516.47023MR0710486
  14. R. Redlinger, On the asymptotic stability of a semilinear functional differential equation in Banach space, J. Math. Anal. Appl. (tp appear). 
  15. С. Travis, G. Webb, 10.1137/0510038, SIAM J. Math. Anal. 10 (1979), 412-424. (1979) MR0523855DOI10.1137/0510038
  16. G. Webb, An abstract semilinear Volterra integrodifferential equation, Proc. Amer. Math. Soc.,69 (1978), 255-260. (1978) Zbl0388.45012MR0467214
  17. G. Webb, A class of reaction-diffusion equations, Proc. Intl. Conf. on Volterra Equations, Helsinki, Lecture Notes in Mathematics, Springer-Verlag, Berlin 1982. (1982) 
  18. G. Webb, 10.1016/S0362-546X(97)90007-9, J. Nonlinear Analysis: TMA, 1 (1977), 415-427. (1977) Zbl0364.45007MR0511684DOI10.1016/S0362-546X(97)90007-9

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