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On an evolution inclusion in non-separable Banach spaces

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Języki publikacji
EN
Abstrakty
EN
We consider a Cauchy problem for a class of nonconvex evolution inclusions in non-separable Banach spaces under Filippov-type assumptions.We prove the existence of solutions.
Rocznik
Strony
131--138
Opis fizyczny
Bibliogr. 13 poz.
Twórcy
autor
  • University of Bucharest Faculty of Mathematics and Computer Science Academiei 14, 010014 Buharest, Romania, acernea@fmi.unibuc.ro
Bibliografia
  • [1] A. Anguraj, C. Murugesan, Continuous selections of set of mild solutions of evolution inclusions, Electronic J. Diff. Equations 2005 (2005) 21, 1–7.
  • [2] K. Balachandran, P. Balasubramanian, J.P. Dauer, Controllability of nonlinear integrodifferential systems in Banach spaces, J. Optim. Theory Appl. 74 (1995), 83–91.
  • [3] M. Benchohra, S.K. Ntouyas, Existence results for neutral functional differential and integrodifferential inclusions in Banach spaces, Electronic J. Diff. Equations 2000 (2000) 20, 1–15.
  • [4] M. Benchohra, S.K. Ntouyas, Nonlocal Cauchy problems for neutral functional differential and integrodifferential inclusions in Banach spaces, J. Math. Anal. Appl. 258 (2001), 573–590.
  • [5] M. Benchohra, S.K. Ntouyas, Controllability of infinite time horizon for functional differential and integrodifferential inclusions in Banach spaces, Commun. Applied Nonlin. Anal. 8 (2001), 63–78.
  • [6] M. Benchohra, S.K. Ntouyas, Existence results for functional differential and integrodifferential inclusions in Banach spaces, Indian J. Pure Applied Math. 32 (2001), 665–675.
  • [7] M. Benchohra, S.K. Ntouyas, Controllability for functional and integrodifferential inclusions in Banach spaces, J. Optim. Theory Appl. 113 (2002), 449–472.
  • [8] A. Bressan, G. Colombo, Extensions and selections of maps with decomposable values, Studia Math. 90 (1988), 69–86.
  • [9] A. Cernea, On the mild solutions of a class of evolution inclusions, Int. J. Evolution Equations 3 (2008), 157–167.
  • [10] F.S. De Blasi, G. Pianigiani, Evolution inclusions in non separable Banach spaces, Comment. Math. Univ. Carolinae 40 (1999), 227–250.
  • [11] A.F. Filippov, Classical solutions of differential equations with multivalued right-hand side, SIAM J. Control Optim. 5 (1967), 609–621.
  • [12] K. Kuratowski, C. Ryll-Nardzewski, A general theorem on selectors, Bull. Acad. Pol. Sci. Math. Astron. Phys. 13 (1965), 397–403.
  • [13] B. Liu, Controllability of neutral functional differential and integrodifferential inclusions with infinite delay, J. Optim. Theory Appl. 123 (2004), 573–593.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-AGHT-0001-0005
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