| Title:
|
Stability and saddle-point property for a linear autonomous functional parabolic equation (English) |
| Author:
|
Milota, Jaroslav |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
27 |
| Issue:
|
1 |
| Year:
|
1986 |
| Pages:
|
87-101 |
| . |
| Category:
|
math |
| . |
| MSC:
|
34K20 |
| MSC:
|
34K30 |
| MSC:
|
35G10 |
| MSC:
|
35K25 |
| MSC:
|
35R10 |
| MSC:
|
47D05 |
| idZBL:
|
Zbl 0606.35081 |
| idMR:
|
MR843423 |
| . |
| Date available:
|
2008-06-05T21:24:03Z |
| Last updated:
|
2012-04-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/106432 |
| . |
| Reference:
|
[1] BLASIO di G., KUNISH K., SINASTRARI E.: Stability for abstract linear functional differential equations.preprint, Universität Graz, 1984. |
| Reference:
|
[2] BROWDER F. E.: On the spectral theory of elliptic differential operators I.Math. Ann. 142 (1961), 22-130. Zbl 0104.07502, MR 0209909 |
| Reference:
|
[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 0210343 |
| Reference:
|
[4] FITZGIBBON W. E.: Nonlinear Volterra equations with infinite delay.Monatsh. Math. 84 (1972), 275-288. MR 0481982 |
| Reference:
|
[5] FRIEDMAN A.: Partial Differential Equations.Holt, Rinehart and Winston, New York, 1969. Zbl 0224.35002, MR 0445088 |
| Reference:
|
[6] HALE J.: Theory of Functional Differential Equations.Appl. Math. Sciences, Vol. 3, Springer - Verlag, 1977. Zbl 0352.34001, MR 0508721 |
| Reference:
|
[7] HALE J. K., KATO J.: Phase space tor retarded equations with infinite delay.Funkcial. Ekvac. 21 (1978),11-41. MR 0492721 |
| Reference:
|
[8] HENRY D.: Geometric Theory of Semilinear Parabolic Equations.Lecture Notes in Math. No 840, Springer-Verlag, 1981. Zbl 0456.35001, MR 0610244 |
| Reference:
|
[9] HILLE E., PHILLIPS R. S.: Functional Analysis and Semigroups.Amer. Math. Soc. Providence, 1957. Zbl 0078.10004, MR 0089373 |
| Reference:
|
[10] KAPPEL F., SCHAPPACHER W.: Some considerations to the fundamental theory of infinite delay equations.J. Diff. Eqs. 37 (1980), 141-183. Zbl 0466.34036, MR 0587220 |
| Reference:
|
[11] KATO T.: Perturbation Theory for Linear Operators.Springer-Verlag, 1966. Zbl 0148.12601, MR 0203473 |
| Reference:
|
[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 0717868 |
| Reference:
|
[13] NAITO T.: On linear autonomous retarded equations with an abstract phase space for infinite delay.J. Diff. Eqs. 33 (1979), 74-91. Zbl 0384.34042, MR 0540818 |
| Reference:
|
[14] NUSSBAUM R.: The radius of the essential spectrum.Duke Math. J. 37 (1970), 473-478. Zbl 0216.41602, MR 0264434 |
| Reference:
|
[15] SCHUMACHER K.: On the resolvent of linear nonautonomous partial functional differential equations.preprint No 247, Universität Heidelberg, 1984. MR 0807853 |
| Reference:
|
[16] SMULYAN Yu. L.: Compact perturbation of operators.(in Russian), Doklady Akad. Nauk SSSR 101 (1955), 35-38. |
| . |
