A property of the solution set of differential inclusions in banach spaces with a caratheodory orientor field

References

• Aronszajn , N. 1942 . Le coresspondant topologique de l'unicite danstheorie des equation differentielles . Ann.Math , 43 : 730 – 738 .
   Google Scholar
• Castain , C. and Valadier , M. 1977 . Convex Analysis and Measurable Multifuctions . Lecture Notes in Math , 580
   Google Scholar
• Cesari , L. 1983 . Otpimization-Theory and Application , Berlin : Springer .
   Google Scholar
• DeBlasi , F. 1985 . Characterizations of certain classes of semicontinuous multifuctions by continuous approximations . J.Math.Anal.Appl , 106 : 1 – 18 .
   Google Scholar
• DeBlasi , F. and Myjak , J. 1985 . On the solution sets of differential inclusions . Bull.Polish.Acad.Sci , 33 : 17 – 23 .
   Google Scholar
• Himmelberg , C. and F.Van , Vleck . 1982 . A note on the solution sets of differential inclusions . Rocky Mount. J.Math , 12 : 621 – 625 .
   Google Scholar
• Hukuhara , M. 1928 . Sur les systemes des equation differentielles ordinaires . Japanese.J.Math , 5 : 345 – 350 .
   Google Scholar
• Hyman , D.M. 1969 . On decreasing sequences of compace absolute retracts . Fund.Math , 64 : 91 – 97 .
   Google Scholar
• Jarnik , J. and Kurzweil , J. 1977 . On conditions on right hand sides of differential relations . Casopis pro pestovani matemetiky , 102 : 334 – 349 .
   Google Scholar
• Kisielewiez , M. 1982 . Multivalued differential euqation in separable Banach spaces . J.Optim.Theory Appl , 37 : 231 – 249 .
   Google Scholar
• Ladas , G. and Lakshmikantham , V. 1972 . differential Equations in Abstract Spaces , New York : Acadmic Press .
   Google Scholar
• Lasry , J.M. and Robert , R. 1976 . Analyse Non-Lineaire Multiveque , Ceremade : Universite de Paris - Dauphine .
   Google Scholar
• Papageorgiou , N.S. 1986 . Random differential inclusions in Banach spaces . J.Diff.Equations , 65 : 287 – 303 .
   Google Scholar
• Papageorgiou , N.S. 1986 . On the solution set of differential inclusions in Banach spaces . Appl.Anal , 65
   Google Scholar
• Rybinski , L. 1985 . On caratheodory type selections . Fund.Math , 125 : 187 – 193 .
   Web of Science ®Google Scholar