| Popis: |
We consider a boundary value problem\(- v = {\text{f , }}v \in \phi (u){\text{ }}on]0,1[ E(v\left( 0 \right),v\left( 1 \right)) \mathrel\backepsilon (v\prime \left( 0 \right),\user1{ - }v\prime \left( 1 \right)) \) where ϕ is a maximal monotone operator in ℝ and E is a multivalued operator in ℝ2 with non decre asing resolvent. We introduce a condition on E which insures that the operator inL1 (0,1) associated to this problem has non decreasing resolvent, and caracterise the subsolutions of the problem. We give different examples of operatorsE satisfying this condition. |
