| Title:
|
On nonconvex functional evolution inclusions involving $m$-dissipative operators (English) |
| Author:
|
Cardinali, Tiziana |
| Author:
|
Papageorgiou, Nikolaos S. |
| Author:
|
Papalini, Francesca |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
47 |
| Issue:
|
1 |
| Year:
|
1997 |
| Pages:
|
135-148 |
| . |
| Category:
|
math |
| . |
| MSC:
|
34A60 |
| MSC:
|
34G20 |
| MSC:
|
34K30 |
| MSC:
|
47N20 |
| idZBL:
|
Zbl 0903.34014 |
| idMR:
|
MR1435612 |
| . |
| Date available:
|
2009-09-24T10:03:23Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/127345 |
| . |
| Reference:
|
[1] H. Attouch, A. Damlamian: On multivalued evolution equations in Hilbert spaces.Israel J. Math. 12 (1972), 373–390. MR 0346609, 10.1007/BF02764629 |
| Reference:
|
[2] E.P. Avgerinos, N.S. Papageorgiou: Nonconvex perturbations of evolution equations with m-dissipative operators in Banach spaces.Comment Math. Univ. Carolinae 30 (1989), 657–664. MR 1045894 |
| Reference:
|
[3] P. Baras: Compacité de I’operateur $f \rightarrow u$ solution d’une équation non-lineaire $\frac{u}{t} + A u \ni f$.C.R. Acad. Sci. Paris, t. 286 (1978), 1113–1116. MR 0493554 |
| Reference:
|
[4] V. Barbu: Nonlinear Semigroups and Differential Equations in Banach Spaces.Noordhoff International Publishing, Leyden, The Netherlands, 1976. Zbl 0328.47035, MR 0390843 |
| Reference:
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[5] M. Benamara: Points extremaux multi-applications et fonctionelles integrales.These du 3ème cycle, Université de Grenoble, France, 1975. |
| Reference:
|
[6] P. Benilan: Solutions integrales d’equations d’evolution dans un espace de Banach.C.R. Acad. Sci. Paris, t. 274 (1972), 47–50. Zbl 0246.47068, MR 0300164 |
| Reference:
|
[7] A. Bressan, G. Colombo: Extension and selections of maps with decomposable values.Studia Math. 90 (1988), 69–86. MR 0947921, 10.4064/sm-90-1-69-86 |
| Reference:
|
[8] A. Cellina, M. Marchi: Nonconvex perturbations of maximal monotone inclusions.Israel J. Math. 46 (1983), 1–11. MR 0727019, 10.1007/BF02760619 |
| Reference:
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[9] J. Diestel, J. Uhl: Vector measures.Math Surveys, A.M.S., Providence R.I. 15 (1977). MR 0453964 |
| Reference:
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[10] R. Holmes: Geometric Functional Analysis and its Applications, Graduate Texts in Math, Vol. 24.Springer Verlag, New York, 1975. MR 0410335 |
| Reference:
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[11] M. Kisielewicz: Differential Inclusions and Optimal Control.Kluwer Academic Publishers, Dodrecht, The Netherlands, 1991. MR 1135796 |
| Reference:
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[12] N.S. Papageorgiou: On measurable multifunctions with applications to random multivalued equation.Math. Japonica 32 (1987), 437–464. MR 0914749 |
| Reference:
|
[13] N.S. Papageorgiou: Weak convergence of random sets in Banach spaces.J. Math. Anal. Appl. 164 (1992), 571–589. Zbl 0784.46010, MR 1151056, 10.1016/0022-247X(92)90136-2 |
| Reference:
|
[14] A.A. Tolstonogov: Extremal selections of multivalued mappings and the “bang-bang” principle for evolution inclusions.Soviet Math. Dokl. 43 (1991), 481–485. Zbl 0784.54024, MR 1121349 |
| Reference:
|
[15] E. Zeidler: Nonlinear Functional Analysis and its Applications II.Springer Verlag, New York, 1990. Zbl 0684.47029, MR 0816732 |
| . |
