@article{10_21136_CMJ_1988_102258,
author = {Fitzgibbon, William E.},
title = {Asymptotic stability for a class of integrodifferential equations},
journal = {Czechoslovak Mathematical Journal},
pages = {618--622},
year = {1988},
volume = {38},
number = {4},
doi = {10.21136/CMJ.1988.102258},
mrnumber = {962906},
zbl = {0668.45012},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1988.102258/}
}
TY - JOUR AU - Fitzgibbon, William E. TI - Asymptotic stability for a class of integrodifferential equations JO - Czechoslovak Mathematical Journal PY - 1988 SP - 618 EP - 622 VL - 38 IS - 4 UR - http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1988.102258/ DO - 10.21136/CMJ.1988.102258 LA - en ID - 10_21136_CMJ_1988_102258 ER -
%0 Journal Article %A Fitzgibbon, William E. %T Asymptotic stability for a class of integrodifferential equations %J Czechoslovak Mathematical Journal %D 1988 %P 618-622 %V 38 %N 4 %U http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1988.102258/ %R 10.21136/CMJ.1988.102258 %G en %F 10_21136_CMJ_1988_102258
Fitzgibbon, William E. Asymptotic stability for a class of integrodifferential equations. Czechoslovak Mathematical Journal, Tome 38 (1988) no. 4, pp. 618-622. doi: 10.21136/CMJ.1988.102258
[1] J. Finn, L. Wheeler: Wave propagation aspects of the generalized theory of heat conduction. Z. Angew. Math. Physics, 23 (1972), 927-940. | DOI | MR | Zbl
[2] W. Fitzgibbon: Abstract hyperbolic integrodifferential equations. J. Math, Anal. Appl., 84(1981),299-310. | MR | Zbl
[3] W. Fitzgibbon: Convergence theorem for semilinear Volterra equations with infinite delay. J. Integral Equations (to appear). | MR
[4] W. Fitzgibbon: Nonlinear Volterra equations with infinite delay. Monat Math, 84 (1977), 275-288. | DOI | MR | Zbl
[5] W. Fitzgibbon: Semilinear integrodifferential equations in Banach space. J. Nonlinear Analysis: TMA, 4 (1980), 745-760. | DOI | MR | Zbl
[6] A. Friedman: Partial Differential Equations. Holt, Rhinehart and Winston, New York, 1969. | MR | Zbl
[7] J. Goldstein: Semigroups of Operators and Abstract Cauchy Problems. Lecture Notes, Tulane University, 1970. | Zbl
[8] T. Kato: Perturbation Theory for Linear Operators. Springer-Verlag, Berlin, 1966. | MR | Zbl
[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. | MR
[10] R. MacCamy: An integrodifferential equation with applications in heat flow. Q. Appl. Math. 35 (1977), 1-9. | DOI
[11] J. Nunziato: On heat conduction in materials with memory. Q. Appl. Math. 29 (1971) 187-204. | DOI | MR | Zbl
[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. | MR
[13] A. Pazy: Semigroups of Linear Operators and Applications to Partial Differential Equations. Springer-Verlag, Berlin, 1983. | MR | Zbl
[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: An abstract second order semilinear Volterra integrodifferential equations. SIAM J. Math. Anal. 10 (1979), 412-424. | DOI | MR
[16] G. Webb: An abstract semilinear Volterra integrodifferential equation. Proc. Amer. Math. Soc.,69 (1978), 255-260. | MR | Zbl
[17] G. Webb: A class of reaction-diffusion equations. Proc. Intl. Conf. on Volterra Equations, Helsinki, Lecture Notes in Mathematics, Springer-Verlag, Berlin 1982.
[18] G. Webb: Volterra integral equations and nonlinear semigroups. J. Nonlinear Analysis: TMA, 1 (1977), 415-427. | DOI | MR | Zbl
Cité par Sources :