| Title:
|
Characterization of the generators of $C_0$ semigroups which leave a convex set invariant (English) |
| Author:
|
Bojadziev, H. N. |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
25 |
| Issue:
|
1 |
| Year:
|
1984 |
| Pages:
|
159-170 |
| . |
| Category:
|
math |
| . |
| MSC:
|
47B44 |
| MSC:
|
47B55 |
| MSC:
|
47B60 |
| MSC:
|
47D03 |
| MSC:
|
47D05 |
| MSC:
|
47H20 |
| idZBL:
|
Zbl 0555.47027 |
| idMR:
|
MR749124 |
| . |
| Date available:
|
2008-06-05T21:17:38Z |
| Last updated:
|
2012-04-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/106287 |
| . |
| Reference:
|
[1] W. ARENDT P. R. CHERNOFF T. KATO: A generalization of dissipativity and positive semigroups.J. Operator Theory, 8 (1982), 167-180. MR 0670183 |
| Reference:
|
[2] V. BARBU: Nonlinear semigroups and differential equations in Banach spaces.Bucuresti/Leyden, 1976. Zbl 0328.47035, MR 0390843 |
| Reference:
|
[3] HR. N. BOJADZIEV: Unbounded generators of positive semigroups on $B^*$-algebras.C. R. Acad. Bulgare Sci., 35 (1982), N. 8, 1033-1036. Zbl 0513.47026, MR 0687397 |
| Reference:
|
[4] O. BRATTELI D. W. ROBINSON: Positive $C_0$ semigroups on $C^*$ -algebras.Math. Scand., 49 (1981), 259-274. MR 0661895 |
| Reference:
|
[5] O. BRATTELI T. DIGERNES D. W. ROBINSON: Positive semigroups on ordered Banach spaces.J. Operator Theory, 9 (1983), 371-400. MR 0703815 |
| Reference:
|
[6] N. DUNFORD J. T. SCHWARTZ: Linear Operators, Part I.N. Y., 1958. |
| Reference:
|
[7] E. B. DYNKIN: Markovskie processi.Moskva, 1963. (In Russian, English translation 1965.) |
| Reference:
|
[8] D. E. EVANS H. HANCHE-OLSEN: The generators of positive semigroups.J. Func. Anal., 32 (1979), 207-212. MR 0534674 |
| Reference:
|
[9] W. FELLER: The general diffusion operator and positivity preserving semigroups in one dimension.Ann. of Math., 60 (1954), 417-436. Zbl 0057.09805, MR 0065809 |
| Reference:
|
[10] N. HASEGAWA: On contraction semi-groups and (di)-operators.J. Math. Soc. Japan, 18 (1966), 209-302. Zbl 0149.10301, MR 0201984 |
| Reference:
|
[11] G. JAMESON: Ordered linear spaces.Lecture Notes in Math., 141, Berlin, 1970. Zbl 0196.13401, MR 0438077 |
| Reference:
|
[12] R. H. MARTIN, Jr.: Nonlinear operators and differential equations in Banach spaces.N. Y., 1976. Zbl 0333.47023 |
| Reference:
|
[13] R. S. PHILLIPS: Semigroups of positive contraction operators.Czechoslovak Math. 3., 12 (1962), 294-313. MR 0146675 |
| Reference:
|
[14] JEAN-PIERE ROTH: Opérateurs dissipatifs et semi-groupes dans les espaces de fonctions continues.Ann. Inst. Fourier (Grenoble), 26 (1976), N.4, 1-97. MR 0448158 |
| Reference:
|
[15] K. SATO: On the generators of non-negative contraction semigroups in Banach lattices.J. Math. Soc. Japan, 20 (1968), 423-436. MR 0231243 |
| Reference:
|
[16] K. DEIMLING: Ordinary differential equations in Banach spaces.Lecture Notes in Math. 596, Berlin, 1977. Zbl 0361.34050, MR 0463601 |
| Reference:
|
[17] R. H. MARTIN., Jr.: Invariant sets for evolution systems.International Conf. Diff. Equations (H. Antosiewicz, Ed.), N. Y., London, 1976. |
| Reference:
|
[18] R. H. MARTIN, Jr.: Invariant sets and a mathematical model involving semilinear differential equations.Nonlinear Equations in Abstract Spaces. N. Y., London, 1978. Zbl 0453.34050 |
| Reference:
|
[19] M. NAGUMO: Uber die Lage der Integralkurven gewöhnlicher Differentiallaichungen.Proc. Phys. Math. Soc. Japan, 24 (1942), 551-559. MR 0015180 |
| Reference:
|
[20] R. M. REDHEFFER W. WALTER: Flow-invariant sets and differential inequalities in normed spaces.Applicable Anal., 5 (1975), 149-161. MR 0470401 |
| Reference:
|
[21] A. D. VENTZEL: On the boundary condition for multidimensional diffusion processes.Teor. verojatnostei i primenenija, 4 (1959), 172-185 (in Russian). |
| Reference:
|
[22] P. VOLKMANN: Über die Invarianz konvexer Mengen und Differentialgleichunge in einem normierten Raume.Math. Ann., 203 (1973), 201-210. MR 0322305 |
| Reference:
|
[23] P. VOLKMANN: Über die Invarianzsätze von Bony und Brazis in normierten Räumen.Archiv Math., 26 (1975), 89-93. MR 0454238 |
| . |
