Existence of Multiple Solutions of a Second-Order Difference Boundary Value Problem
This paper studies the existence of multiple solutions of the second-order difference boundary value problem Δ2u(n−1)+V′(u(n))=0, n∈ℤ(1,T), u(0)=0=u(T+1). By applying Morse theory, critical groups, and the mountain pass theorem, we prove that the previous equation has at least three nontrivial so...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2010-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2010/907453 |
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