On the maximum and antimaximum principles for the beam equation

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• 作者：P. Drá ; bek ^{pdrabek@kma.zcu.cz" class="auth_mail" title="E-mail the corresponding author} ; G. Holubová ; ; ^{gabriela@kma.zcu.cz" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Fourth order problem ; Beam operator ; Positive solutions ; Negative solutions ; Convergent iterations
• 刊名：Applied Mathematics Letters
• 出版年：2016
• 出版时间：June 2016
• 年：2016
• 卷：56
• 期：Complete
• 页码：29-33
• 全文大小：504 K

文摘

We consider a one-dimensional beam equation with a strictly positive forcing term. Under different assumptions on the restoring force we prove the existence of positive and negative solutions, respectively. Our method is based on non-monotone but convergent iterations and extends related results known in the literature so far.