30
Views
2
CrossRef citations to date
0
Altmetric
Original Articles

Random evolution inclusions of the subdifferential type

&
Pages 801-821 | Published online: 03 Apr 2007

References

  • Ahmed , N.U. 1986 . Existence of optimal controls for a class of systems governed by differential inclusions on a Banach space . J. Optim. Theory Appl , 50 : 213 – 237 .
  • Barbu , V. 1976 . Nonlinear Semigroups and Differential Equations in Banach Spaces , Leiden, , The Netherlands : Noordhoff International Publishing .
  • Becus , G.A. 1977 . Random generalized solutions to the heat equation . J. Math. Anal. App , 60 : 93 – 102 .
  • Becus , G.A. 1978 . Solutions to the random heat equation by the method of successive approximations . J. Math. Anal. Appl , 64 : 277 – 296 .
  • Bharucha-Reid , A.T. 1972 . Random Integral Equations , New York : Academic Press .
  • Brezis , H. 1973 . Operateurs Maximaux Monotones et Semi-groupes de Contractions dans les espaces de Hilbert , Amsterdam : North-Holland .
  • Chang , K.C. 1980 . The obstacle problem and partial differential equations with discontinuous nonlinearities . Comm. Pure Appl. Math , 22 : 117 – 146 .
  • Dunford , N. and Schwartz , J. 1958 . Linear Operators I , New York : Wiley .
  • Henry , C. 1972 . Differential equations with discontinuous right hand side for planning procedures . J. Econ. Theory , 4 : 545 – 551 .
  • Hiai , F. and Umegaki , H. 1977 . Integrals, conditional expectations and martingales of multivalued functions . J. Multiv. Anal , 7 : 149 – 182 .
  • Kampe De Feriet , J. 1955 . Integrales aléatoies de l’equation de la chaleur dans une barre infinite . C.R.A.S Paris , 240 : 720 – 712 .
  • Kampe de Feriet , J. Random solutions of partial differential equations . Proc. Of the 3rd Berkely Symp. Math. Stat. and Probability . Vol. 3 , pp. 19 – 208 . Berkeley, Cal : Univ. of California Press .
  • Klein , E. and Thompson , A. 1984 . Theory of Correspondences , New York : Wiley .
  • Ladde , G.S. and Lakshmikantham , V. 1980 . Random Differential Inequalities , New York : Academic Press .
  • Moreau , J.J. 1977 . Evolution problem associated with a moving convex set in a Hilbert space . J. Diff. Equations , 26 : 347 – 374 .
  • Mosco , U. 1971 . On the continuity of the Young-Fenchel transform . J. Math. Anal. Appl , 35 : 518 – 535 .
  • Papageorgiou , N.S. 1987 . Convergence theorems for Banach space valued integrable multifunctions . Intern. J. Math, and Math. Sci , 10 : 433 – 442 .
  • Papageorgiou , N.S. 1987 . On measurable multifunctions with applications to random multivalued equations . Math. Japonica , 32 : 437 – 464 .
  • Papageorgiou , N.S. 1988 . Decomposable sets in the Lebesgue-Bochner spaces . Comm. Math. Univ. S.P , 37 : 49 – 62 .
  • Papageorgior , N. 1986 . Random fixed point theorems for measurable multifunctions in Banach spaces . Proc. of the AMS , 97 : 507 – 514 .
  • Papageorgiou , N.S. 1990 . Optimal control of nonlinear evolution inclusions . J. Optim. Theory Appl , 67 : 321 – 354 .
  • Rockafellar , R.T. 1971 . “ Convex integral functional and duality ” . In Contr. to Nonlinear Funct. Anal , Edited by: Zarantonello . 215 – 236 . New York : Academic Press .
  • Sainte-Beuve , M.F. 1974 . On the extension of Von Neumann-Aumann's theorem . J. Funct. Analysis , 17 : 112 – 129 .
  • Samuels , T.C. 1966 . Heat conduction in solids with random external temperatures and/or random internal heat generation . Intern. J. Heat Mass Transfer , 9 : 301 – 314 .
  • Tsokos , C.P. and Padgett , W.J. 1974 . Random Integral Equations with Applications to Life Sciences and Engineering , New York : Academic Press .
  • Wagner , D.H. 1977 . Survey of measurable selection theorems . SIAM J. Control Optim , 15 : 859 – 903 .
  • Yotsutani , S. 1978 . Evolution equations associated with subdifferentials . J. Math. Soc. Japan , 31 : 623 – 646 .
  • Zeidler , E. 1990 . Nonlinear Functional Analysis and its Applications II , New York : Springer Verlag .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.