Title:
|
Random functional-differential inclusions with nonconvex right-hand side in a Banach space (English) |
Author:
|
Papageorgiou, Nikolaos S. |
Language:
|
English |
Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
ISSN:
|
0010-2628 (print) |
ISSN:
|
1213-7243 (online) |
Volume:
|
28 |
Issue:
|
4 |
Year:
|
1987 |
Pages:
|
649-654 |
. |
Category:
|
math |
. |
MSC:
|
34F05 |
MSC:
|
34G20 |
MSC:
|
34G99 |
MSC:
|
34K30 |
MSC:
|
60H25 |
idZBL:
|
Zbl 0636.60066 |
idMR:
|
MR928679 |
. |
Date available:
|
2008-06-05T21:30:46Z |
Last updated:
|
2012-04-28 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/106578 |
. |
Reference:
|
[1] A. BRESSAN: On differential relations with lower continuous right hand side. An existence theorem.J. Diff. Equations 37 (1980), 89-97. Zbl 0418.34017, MR 0583341 |
Reference:
|
[2] C. CASTAING: Rafle par un convexe aleatoire à variation continue à droite.Séminaire d'Analyse Convexe, Montpellier 1975, expose no 15. Zbl 0353.46032, MR 0512203 |
Reference:
|
[3] C. CASTAING M. VALADIER: Convex Analysis and Measurable Multifunctions.Lecture Notes in Math., Vol. 580, Springer, Berlin (1977). MR 0467310 |
Reference:
|
[4] K. DEIMLING: Sample solutions of stochastic ordinary differential equations.Stoch. Anal. Appl. 3 (1985), 15-21. Zbl 0555.60036, MR 0783042 |
Reference:
|
[5] N. DUNFORD J. SCHWARTZ: Linear Operators.Vol. I, Wiley, New York (1958). |
Reference:
|
[6] C. HIMMELBERG F. Van LECK: Lipschitzian generalized differential equations.Rend. Sem. Mat. Univ. Padova 48 (1972), 156-169. MR 0340692 |
Reference:
|
[7] S. ITOH: Random fixed point theorems with an application to random differential equations in Banach spaces.J. Math. Anal. Appl. 67 (1979), 261-173. Zbl 0407.60069, MR 0528687 |
Reference:
|
[8] G. LADDE V. LAKSHMIKANTHAM: Random Differential Inequalities.Academic Press, New York (1980). MR 0618464 |
Reference:
|
[9] S. LOJASIEWICZ: The existence of solutions for lower semicontinuous orientor fields.Bull. Polish Acad. Sci. 28 (1980), 483-487. Zbl 0483.49028, MR 0629022 |
Reference:
|
[10] A. NOWAK: Applications of random fixed point theorems in the theory of generalized random differential equations.Bull. Polish Acad. Sci. 34 (1986), 487-494. Zbl 0617.60059, MR 0874895 |
Reference:
|
[11] N. S. PAPAGEORGIOU: Random differential inclusions in Banach spaces.J. Diff. Equations 65 (1986), 287-303. Zbl 0615.34006, MR 0865064 |
Reference:
|
[12] N. S. PAPAGEORGIOU: On measurable multifunctions with applications to random generalized equations.Math. Japonica 32 (1987), 701-727. MR 0914749 |
Reference:
|
[13] N. S. PAPAGEORGIOU: On the existence of solutions of random functional-differential equations in Banach spaces.J. Math. Anal. Appl. (to appear). |
Reference:
|
[14] N. S. PAPAGEORGIOU: Functional-differential inclusions in Banach spaces with nonconvex right hand side.Funkcialaj Ekvacioj (to appear). Zbl 0698.34067, MR 1006092 |
Reference:
|
[15] PHAN VAN CU0NG: Existence of solutions for random multivalued Volterra integral equations.J. Integral Equations 7 (1984), 143-173. MR 0756552 |
Reference:
|
[16] M.-F. SAINT-BEUVE: On the extensions of von Neumann-Aumann's theorem.J. Funct. Anal. 17 (1974), 112-129. |
. |