@article{CMUC_1989_30_2_a6,
author = {Kossaczk\'a, Lubica},
title = {Integral manifold of the parabolic differential equation with deviating argument},
journal = {Commentationes Mathematicae Universitatis Carolinae},
pages = {253--260},
year = {1989},
volume = {30},
number = {2},
mrnumber = {1014126},
zbl = {0696.35079},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMUC_1989_30_2_a6/}
}
TY - JOUR AU - Kossaczká, Lubica TI - Integral manifold of the parabolic differential equation with deviating argument JO - Commentationes Mathematicae Universitatis Carolinae PY - 1989 SP - 253 EP - 260 VL - 30 IS - 2 UR - http://geodesic.mathdoc.fr/item/CMUC_1989_30_2_a6/ LA - en ID - CMUC_1989_30_2_a6 ER -
Kossaczká, Lubica. Integral manifold of the parabolic differential equation with deviating argument. Commentationes Mathematicae Universitatis Carolinae, Tome 30 (1989) no. 2, pp. 253-260. http://geodesic.mathdoc.fr/item/CMUC_1989_30_2_a6/
[Fo] Fodčuk V.: Integral'nyje mnogoobrazija dl'a nelinejnych differencijal'nych uravnenij s zapazdyvajuščim argumentom. Ukrajinskij matem. žurnal 21 (1969), 627-639. | MR
[Ha,1] Hale J.: Integral manifolds of perturbated differential systems. Ann. Math. 73 (1961), 496-531. | MR
[Ha,2] Hale J.: Averaging Methods for Differential Equations with Retarded Arguments and a Small Parameter. Journ. Diff. Equat. 2 (1966). | MR | Zbl
[He] Henry D.: Geometric Theory of Semilinear Parabolic Equations. Lecture Notes In Math. 40, Springer Verlag, 1981. | MR | Zbl
[Ke] Kelley A.: The center manifold and integral manifolds for Hamiltonian systems. Notices Amer. Math. Soc. 12 (1965), 143-144.
[Mi,1] Milota J.: Stability and saddle-point property for a linear autonomous functional parabolic equation. Comment. Math. Univ. Carolinae 27 (1986), 87-101. | MR | Zbl
[Mi,2] Milota J.: Asymptotic behaviour of parabolic equations with infinite delay. Proc. of Trento conf., 1987.
[Mit] Mitropol'skij J. A.: Ob issledovaniji integral'nogo mnogoobrazija dl'a system nelinejnych uravnenij, blizkich k uravnenijam s peremennymi koeficientami v Gil'bertovom prostranstve. Ukrajinskij. Mat. Žurnal 16 (1964).
[Pe-Mi] Petzeltová H., Milota J.: Resolvent operator for abstract functional differential equations with infinite delay. Numer. Functional Anal, and Optimiz. 9 (1987), 779-807. | MR
[Pl] Pliss V. A.: Principle reduction in the theory of the stability of motion. (Russian), Izv. Akad. Nauk S.S.S.R., 28 (1964), 1297-1324. | MR
[Pu] Pulmann P.: Diplomová práca MFF UK, Bratislava, 1988.