| Title:
|
Asymptotic stability for a class of integrodifferential equations (English) |
| Author:
|
Fitzgibbon, William E. |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
38 |
| Issue:
|
4 |
| Year:
|
1988 |
| Pages:
|
618-622 |
| . |
| Category:
|
math |
| . |
| MSC:
|
34K99 |
| MSC:
|
45J05 |
| MSC:
|
45M10 |
| idZBL:
|
Zbl 0668.45012 |
| idMR:
|
MR962906 |
| DOI:
|
10.21136/CMJ.1988.102258 |
| . |
| Date available:
|
2008-06-09T15:23:44Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/102258 |
| . |
| Reference:
|
[1] J. Finn, L. Wheeler: Wave propagation aspects of the generalized theory of heat conduction.Z. Angew. Math. Physics, 23 (1972), 927-940. Zbl 0249.35034, MR 0334700, 10.1007/BF01596220 |
| Reference:
|
[2] W. Fitzgibbon: Abstract hyperbolic integrodifferential equations.J. Math, Anal. Appl., 84(1981),299-310. Zbl 0506.45016, MR 0639664 |
| Reference:
|
[3] W. Fitzgibbon: Convergence theorem for semilinear Volterra equations with infinite delay.J. Integral Equations (to appear). MR 0785859 |
| Reference:
|
[4] W. Fitzgibbon: Nonlinear Volterra equations with infinite delay.Monat Math, 84 (1977), 275-288. Zbl 0382.45003, MR 0481982, 10.1007/BF01366497 |
| Reference:
|
[5] W. Fitzgibbon: Semilinear integrodifferential equations in Banach space.J. Nonlinear Analysis: TMA, 4 (1980), 745-760. Zbl 0442.45014, MR 0582543, 10.1016/0362-546X(80)90075-9 |
| Reference:
|
[6] A. Friedman: Partial Differential Equations.Holt, Rhinehart and Winston, New York, 1969. Zbl 0224.35002, MR 0445088 |
| Reference:
|
[7] J. Goldstein: Semigroups of Operators and Abstract Cauchy Problems.Lecture Notes, Tulane University, 1970. Zbl 0219.47037 |
| Reference:
|
[8] T. Kato: Perturbation Theory for Linear Operators.Springer-Verlag, Berlin, 1966. Zbl 0148.12601, MR 0203473 |
| Reference:
|
[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 |
| Reference:
|
[10] R. MacCamy: An integrodifferential equation with applications in heat flow.Q. Appl. Math. 35 (1977), 1-9. 10.1090/qam/452184 |
| Reference:
|
[11] J. Nunziato: On heat conduction in materials with memory.Q. Appl. Math. 29 (1971) 187-204. Zbl 0227.73011, MR 0295683, 10.1090/qam/295683 |
| Reference:
|
[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 |
| Reference:
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[13] A. Pazy: Semigroups of Linear Operators and Applications to Partial Differential Equations.Springer-Verlag, Berlin, 1983. Zbl 0516.47023, MR 0710486 |
| Reference:
|
[14] R. Redlinger: On the asymptotic stability of a semilinear functional differential equation in Banach space.J. Math. Anal. Appl. (tp appear). |
| Reference:
|
[15] С. Travis, G. Webb: An abstract second order semilinear Volterra integrodifferential equations.SIAM J. Math. Anal. 10 (1979), 412-424. MR 0523855, 10.1137/0510038 |
| Reference:
|
[16] G. Webb: An abstract semilinear Volterra integrodifferential equation.Proc. Amer. Math. Soc.,69 (1978), 255-260. Zbl 0388.45012, MR 0467214 |
| Reference:
|
[17] G. Webb: A class of reaction-diffusion equations.Proc. Intl. Conf. on Volterra Equations, Helsinki, Lecture Notes in Mathematics, Springer-Verlag, Berlin 1982. |
| Reference:
|
[18] G. Webb: Volterra integral equations and nonlinear semigroups.J. Nonlinear Analysis: TMA, 1 (1977), 415-427. Zbl 0364.45007, MR 0511684, 10.1016/S0362-546X(97)90007-9 |
| . |
