@article{CMUC_1986_27_1_a7,
author = {Milota, Jaroslav},
title = {Stability and saddle-point property for a linear autonomous functional parabolic equation},
journal = {Commentationes Mathematicae Universitatis Carolinae},
pages = {87--101},
year = {1986},
volume = {27},
number = {1},
mrnumber = {843423},
zbl = {0606.35081},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMUC_1986_27_1_a7/}
}
TY - JOUR AU - Milota, Jaroslav TI - Stability and saddle-point property for a linear autonomous functional parabolic equation JO - Commentationes Mathematicae Universitatis Carolinae PY - 1986 SP - 87 EP - 101 VL - 27 IS - 1 UR - http://geodesic.mathdoc.fr/item/CMUC_1986_27_1_a7/ LA - en ID - CMUC_1986_27_1_a7 ER -
Milota, Jaroslav. Stability and saddle-point property for a linear autonomous functional parabolic equation. Commentationes Mathematicae Universitatis Carolinae, Tome 27 (1986) no. 1, pp. 87-101. http://geodesic.mathdoc.fr/item/CMUC_1986_27_1_a7/
[1] BLASIO di G., KUNISH K., SINASTRARI E.: Stability for abstract linear functional differential equations. preprint, Universität Graz, 1984.
[2] BROWDER F. E.: On the spectral theory of elliptic differential operators I. Math. Ann. 142 (1961), 22-130. | MR | Zbl
[3] COLEMAN B. D., MIZEL V. J.: Norms and semigroups in the theory of fading memory. Arch. Rat. Mech. Anal. 23 (1966), 87-123. | MR
[4] FITZGIBBON W. E.: Nonlinear Volterra equations with infinite delay. Monatsh. Math. 84 (1972), 275-288. | MR
[5] FRIEDMAN A.: Partial Differential Equations. Holt, Rinehart and Winston, New York, 1969. | MR | Zbl
[6] HALE J.: Theory of Functional Differential Equations. Appl. Math. Sciences, Vol. 3, Springer - Verlag, 1977. | MR | Zbl
[7] HALE J. K., KATO J.: Phase space tor retarded equations with infinite delay. Funkcial. Ekvac. 21 (1978),11-41. | MR
[8] HENRY D.: Geometric Theory of Semilinear Parabolic Equations. Lecture Notes in Math. No 840, Springer-Verlag, 1981. | MR | Zbl
[9] HILLE E., PHILLIPS R. S.: Functional Analysis and Semigroups. Amer. Math. Soc. Providence, 1957. | MR | Zbl
[10] KAPPEL F., SCHAPPACHER W.: Some considerations to the fundamental theory of infinite delay equations. J. Diff. Eqs. 37 (1980), 141-183. | MR | Zbl
[11] KATO T.: Perturbation Theory for Linear Operators. Springer-Verlag, 1966. | MR | Zbl
[12] KUNISH K., SCHAPPACHER W.: Necessary conditions for partial differential equations with delay to generate $C_0$ - semigroup. J. Diff. Eqs. 50 (1983), 49-79. | MR
[13] NAITO T.: On linear autonomous retarded equations with an abstract phase space for infinite delay. J. Diff. Eqs. 33 (1979), 74-91. | MR | Zbl
[14] NUSSBAUM R.: The radius of the essential spectrum. Duke Math. J. 37 (1970), 473-478. | MR | Zbl
[15] SCHUMACHER K.: On the resolvent of linear nonautonomous partial functional differential equations. preprint No 247, Universität Heidelberg, 1984. | MR
[16] SMULYAN Yu. L.: Compact perturbation of operators. (in Russian), Doklady Akad. Nauk SSSR 101 (1955), 35-38.