Multiple Nodal Solutions for Some Fourth-Order Boundary Value Problems via Admissible Invariant Sets
Existence and multiplicity results for nodal solutions are obtained for the fourth-order boundary value problem (BVP) u(4)(t)=f(t,u(t)), 0<t<1, u(0)=u(1)=u′′(0)=u′′(1)=0, where f:[0,1]×R→R is continuous. The critical point theory and admissible invariant sets are em...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2008-10-01
|
| Series: | Boundary Value Problems |
| Online Access: | http://dx.doi.org/10.1155/2008/403761 |