Yuanbiao ZHANG, Haiping SHİ, Xia LİU

68105

Existence and nonexistence results for a fourth-order discrete Dirichlet boundary value problem

In this paper, a fourth-order nonlinear difference equation is considered. By making use of the critical point theory, we establish various sets of sufficient conditions for the existence and nonexistence of solutions for Dirichlet boundary value problem and give some new results. Our results generalize and complement the results in the literature. 
Keywords:

Existence and nonexistence, Dirichlet boundary value problem Fourth-order, Mountain Pass Lemma, Discrete variational theory,

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Hacettepe Journal of Mathematics and Statistics-Cover
  • Yayın Aralığı: 6
  • Başlangıç: 2002
  • Yayıncı: Hacettepe Üniversitesi Fen Fakultesi
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