| Title:
|
Integral manifold of the parabolic differential equation with deviating argument (English) |
| Author:
|
Kossaczká, Lubica |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
30 |
| Issue:
|
2 |
| Year:
|
1989 |
| Pages:
|
253-260 |
| . |
| Category:
|
math |
| . |
| MSC:
|
34C30 |
| MSC:
|
34G20 |
| MSC:
|
34K20 |
| MSC:
|
34K30 |
| MSC:
|
35K55 |
| MSC:
|
35K99 |
| MSC:
|
35R10 |
| MSC:
|
47H20 |
| idZBL:
|
Zbl 0696.35079 |
| idMR:
|
MR1014126 |
| . |
| Date available:
|
2008-06-05T21:38:27Z |
| Last updated:
|
2012-04-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/106743 |
| . |
| Reference:
|
[Fo] Fodčuk V.: Integral'nyje mnogoobrazija dl'a nelinejnych differencijal'nych uravnenij s zapazdyvajuščim argumentom.Ukrajinskij matem. žurnal 21 (1969), 627-639. MR 0254385 |
| Reference:
|
[Ha,1] Hale J.: Integral manifolds of perturbated differential systems.Ann. Math. 73 (1961), 496-531. MR 0123786 |
| Reference:
|
[Ha,2] Hale J.: Averaging Methods for Differential Equations with Retarded Arguments and a Small Parameter.Journ. Diff. Equat. 2 (1966). Zbl 0151.10302, MR 0188572 |
| Reference:
|
[He] Henry D.: Geometric Theory of Semilinear Parabolic Equations.Lecture Notes In Math. 40, Springer Verlag, 1981. Zbl 0456.35001, MR 0610244 |
| Reference:
|
[Ke] Kelley A.: The center manifold and integral manifolds for Hamiltonian systems.Notices Amer. Math. Soc. 12 (1965), 143-144. |
| Reference:
|
[Mi,1] Milota J.: Stability and saddle-point property for a linear autonomous functional parabolic equation.Comment. Math. Univ. Carolinae 27 (1986), 87-101. Zbl 0606.35081, MR 0843423 |
| Reference:
|
[Mi,2] Milota J.: Asymptotic behaviour of parabolic equations with infinite delay.Proc. of Trento conf., 1987. |
| Reference:
|
[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). |
| Reference:
|
[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 0910855 |
| Reference:
|
[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 0190449 |
| Reference:
|
[Pu] Pulmann P.: .Diplomová práca MFF UK, Bratislava, 1988. |
| . |
