Nonlinear Multivalued Boundary Value Problems ∗

نویسندگان

  • Ralf Bader
  • Nikolaos S. Papageorgiou
  • N. S. Papageorgiou
چکیده

In this paper, we study nonlinear second order differential inclusions with a multivalued maximal monotone term and nonlinear boundary conditions. We prove existence theorems for both the convex and nonconvex problems, when domA 6= R and domA = R , with A being the maximal monotone term. Our formulation incorporates as special cases the Dirichlet, Neumann and periodic problems. Our tools come from multivalued analysis and the theory of nonlinear monotone operators.

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تاریخ انتشار 2001