Superlinear discrete problems

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• 作者：Gabriele Bonanno^a ; ^{bonanno@unime.it" class="auth_mail" title="E-mail the corresponding author} ; Petru Jebelean^b ; ^{petru.jebelean@e-uvt.ro" class="auth_mail" title="E-mail the corresponding author} ; C膬lin 艦erban^b ; ^{cserban2005@yahoo.com" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Difference equations ; Multiplicity results ; Variational methods
• 刊名：Applied Mathematics Letters
• 出版年：2016
• 出版时间：February 2016
• 年：2016
• 卷：52
• 期：Complete
• 页码：162-168
• 全文大小：587 K

文摘

The aim of this paper is to present an existence result of two positive solutions for a nonlinear difference problem by variational methods. The conclusion is achieved by assuming, together with the super-linearity at infinity, a suitable algebraic condition on the nonlinear term, which is more general than the sub-linearity at zero.