94
Views
10
CrossRef citations to date
0
Altmetric
Original Articles

Existence and Relaxation Theorem for a Second Order Differential Inclusion

, &
Pages 1103-1119 | Received 18 Mar 2010, Accepted 09 Jul 2010, Published online: 13 Sep 2010

REFERENCES

  • D. Azzam-Laouir , C. Castaing , and L. Thibault ( 2002 ). Three boundary value problems for second order differential inclusions in Banach spaces . Control Cybernet 31 ( 3 ): 659 – 693 .
  • D. Azzam-Laouir and F. Bounama . ( 2010 ). Second order differential inclusions with Lipschitz right-hand sides . Electronic Journal of Differential Equations 85 : 1 – 9 .
  • D. Azzam-Laouir and S. Lounis ( 2005 ). Existence of solutions for a class of second order differential inclusions . J. Nonlinear Convex Anal. 6 ( 2 ): 339 – 346 .
  • D. Azzam-Laouir , S. Lounis , and L. Thibault ( 2007 ). Existence solutions for second-order differential inclusions with nonconvex perturbations . Applicable Analysis 86 ( 10 ): 1199 – 1210 .
  • C. Castaing and M. Valadier ( 1977 ). Convex Analysis and Measurable Multifunctions . Lectures Notes in Math. , 580 Springer-Verlag , Berlin .
  • A.F. Filippov ( 1967 ). Classical solutions of differential inclusions with multivalued right-hand sides . SIAM J. Control 5 : 609 – 621 .
  • B. Gely ( 1972 ). Solutions d'équations différentielles multivoques. Séminaire d'analyse convexe Montpellier, exposé no 4.
  • P. Hartman ( 1964 ). Ordinary Differential Equations . John Wiley and Sons Inc. , New York .
  • A.G. Ibrahim and A.M.M. Gomaa ( 2000 ). Existence theorems for functional multivalued three-point boundary value problem of second order . J. Egypt. Math. Soc. 8 ( 2 ): 155 – 168 .
  • A. Ioffe ( 2006 ). Existence and relaxation theorems for unbounded differential inclusions . Journal of Convex Analysis 13 : 353 – 362 .
  • S.A. Marano ( 1994 ). A remark on a second-order three-point boundary value problem . J. Math. Anal. Appl. 183 : 518 – 522 .
  • T. Wazewski ( 1962 ). Sur une généralisation de la notion de solution d'une équation au contingent . Bull. Pol. Ac. Sci. 10:11–15.

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.