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Nonlinear multivalued boundary value problems

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Bader R., Papageorgiou N.

Discussiones Mathematicae, Differential Inclusions, Control and Optimization

2001

tom 21

nr 1

127-148

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 $domA ≠ ℝ^{N}$ and $domA = ℝ^{N}$, 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.

Ograniczanie wyników

1 Discussiones Mathematicae, Differential Inclusions, Control and Optimization

1 Bader R.

1 Papageorgiou N.

1 2001

Wyniki wyszukiwania

Nonlinear multivalued boundary value problems