Multiple Nodal Solutions for Some Fourth-Order Boundary Value Problems via Admissible Invariant Sets
<p/> <p>Existence and multiplicity results for nodal solutions are obtained for the fourth-order boundary value problem (BVP) <inline-formula> <graphic file="1687-2770-2008-403761-i1.gif"/></inline-formula>, <inline-formula> <graphic file="1687-2...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2008-01-01
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| Series: | Boundary Value Problems |
| Online Access: | http://www.boundaryvalueproblems.com/content/2008/403761 |
| Summary: | <p/> <p>Existence and multiplicity results for nodal solutions are obtained for the fourth-order boundary value problem (BVP) <inline-formula> <graphic file="1687-2770-2008-403761-i1.gif"/></inline-formula>, <inline-formula> <graphic file="1687-2770-2008-403761-i2.gif"/></inline-formula>, <inline-formula> <graphic file="1687-2770-2008-403761-i3.gif"/></inline-formula>, where <inline-formula> <graphic file="1687-2770-2008-403761-i4.gif"/></inline-formula> is continuous. The critical point theory and admissible invariant sets are employed to discuss this problem.</p> |
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| ISSN: | 1687-2762 1687-2770 |