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Homoclinic Solutions in Periodic Nonlinear Difference Equations with Superlinear Nonlinearity

作者:Zhan; ZHOU; Jian; She; YU非线性差分方程非线性解超线性周期性临界点理论

摘要:In this paper, we consider the existence of homoclinic solutions in periodic nonlinear difference equations with superlinear nonlinearity. The classical Ambrosetti-Rabinowitz superlinear condition is improved by a general superlinear one. The proof is based on the critical point theory in combination with periodic approximations of solutions.

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