- Tytuł:
- Nonlinear multivalued boundary value problems
- Autorzy:
-
Bader, Ralf
Papageorgiou, Nikolaos - Powiązania:
- https://bibliotekanauki.pl/articles/729304.pdf
- Data publikacji:
- 2001
- Wydawca:
- Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
- Tematy:
-
usc and lsc multifunction
measurable selection
Leray-Schauder alternative theorem
Sobolev space
compact embedding
maximal monotone map
coercive map
surjective map
convex and nonconvex problem
nonlinear boundary conditions - Opis:
- 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.
- Źródło:
-
Discussiones Mathematicae, Differential Inclusions, Control and Optimization; 2001, 21, 1; 127-148
1509-9407 - Pojawia się w:
- Discussiones Mathematicae, Differential Inclusions, Control and Optimization
- Dostawca treści:
- Biblioteka Nauki
Artykuł