Existence of homoclinic orbit for second-order nonlinear difference equation
By using the Mountain Pass Theorem, we establish some existence criteria to guarantee the second-order nonlinear difference equation $\Delta \left[p(t)\Delta u(t-1)\right] +f(t,u(t))=0$ has at least one homoclinic orbit, where $t\in \mathbb{Z},\ u\in \mathbb{R}$.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
University of Szeged
2010-12-01
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| Series: | Electronic Journal of Qualitative Theory of Differential Equations |
| Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=532 |