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References:
[1] J. Finn, L. Wheeler: Wave propagation aspects of the generalized theory of heat conduction. Z. Angew. Math. Physics, 23 (1972), 927-940. DOI 10.1007/BF01596220 | MR 0334700 | Zbl 0249.35034
[2] W. Fitzgibbon: Abstract hyperbolic integrodifferential equations. J. Math, Anal. Appl., 84(1981),299-310. MR 0639664 | Zbl 0506.45016
[3] W. Fitzgibbon: Convergence theorem for semilinear Volterra equations with infinite delay. J. Integral Equations (to appear). MR 0785859
[4] W. Fitzgibbon: Nonlinear Volterra equations with infinite delay. Monat Math, 84 (1977), 275-288. DOI 10.1007/BF01366497 | MR 0481982 | Zbl 0382.45003
[5] W. Fitzgibbon: Semilinear integrodifferential equations in Banach space. J. Nonlinear Analysis: TMA, 4 (1980), 745-760. DOI 10.1016/0362-546X(80)90075-9 | MR 0582543 | Zbl 0442.45014
[6] A. Friedman: Partial Differential Equations. Holt, Rhinehart and Winston, New York, 1969. MR 0445088 | Zbl 0224.35002
[7] J. Goldstein: Semigroups of Operators and Abstract Cauchy Problems. Lecture Notes, Tulane University, 1970. Zbl 0219.47037
[8] T. Kato: Perturbation Theory for Linear Operators. Springer-Verlag, Berlin, 1966. MR 0203473 | Zbl 0148.12601
[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 0617048
[10] R. MacCamy: An integrodifferential equation with applications in heat flow. Q. Appl. Math. 35 (1977), 1-9.
[11] J. Nunziato: On heat conduction in materials with memory. Q. Appl. Math. 29 (1971) 187-204. MR 0295683 | Zbl 0227.73011
[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 0617039
[13] A. Pazy: Semigroups of Linear Operators and Applications to Partial Differential Equations. Springer-Verlag, Berlin, 1983. MR 0710486 | Zbl 0516.47023
[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 10.1137/0510038 | MR 0523855
[16] G. Webb: An abstract semilinear Volterra integrodifferential equation. Proc. Amer. Math. Soc.,69 (1978), 255-260. MR 0467214 | Zbl 0388.45012
[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 10.1016/S0362-546X(97)90007-9 | MR 0511684 | Zbl 0364.45007
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