Homoclinic Solutions for a Class of Nonlinear Difference Equations | Zendy

Ali Mai | Zendy; Zhan Zhou | Zendy

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Homoclinic Solutions for a Class of Nonlinear Difference Equations

Author(s) -

Ali Mai,

Zhan Zhou

Publication year - 2014

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2014/749678

Subject(s) - homoclinic orbit , mathematics , class (philosophy) , nonlinear system , mathematical analysis , manifold (fluid mechanics) , nehari manifold , pure mathematics , physics , bifurcation , computer science , mechanical engineering , quantum mechanics , artificial intelligence , engineering

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

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