Homoclinic Solutions for a Class of Nonlinear Difference Equations
Keyword(s):
We prove the existence of homoclinic solutions of a class of nonlinear difference equations with superlinear nonlinearity by using the generalized Nehari manifold approach. For the case where the nonlinearity is odd, we obtain infinitely many homoclinic solutions of the equations. Recent results in the literature are generalized and improved.
2013 ◽
Vol 29
(9)
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pp. 1809-1822
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2016 ◽
Vol 39
(18)
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pp. 5705-5719
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2010 ◽
Vol 2010
(1)
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pp. 470375
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2021 ◽
Vol 1964
(2)
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pp. 022020
2009 ◽
Vol 32
(1)
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pp. 189-203
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