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  • 标题:Studies on a 2 n th-order p -Laplacian differential equation with singularity
  • 本地全文:下载
  • 作者:Yun Xin ; Shan Zhao
  • 期刊名称:Advances in Difference Equations
  • 印刷版ISSN:1687-1839
  • 电子版ISSN:1687-1847
  • 出版年度:2016
  • 卷号:2016
  • 期号:1
  • 页码:26
  • DOI:10.1186/s13662-015-0706-1
  • 语种:English
  • 出版社:Hindawi Publishing Corporation
  • 摘要:In this paper, we consider the 2nth-order p-Laplacian differential equation with singularity ( φ p ( x ( t ) ) ( n ) ) ( n ) + f ( x ( t ) ) x ′ ( t ) + g ( t , x ( t − σ ) ) = e ( t ) . $$ \bigl(\varphi_{p} \bigl(x(t) \bigr)^{(n)} \bigr)^{(n)}+f \bigl(x(t) \bigr)x'(t)+g \bigl(t,x(t-\sigma) \bigr)=e(t). $$ By applications of coincidence degree theory and some analysis techniques, sufficient conditions for the existence of positive periodic solutions are established.
  • 关键词:positive periodic solution ; p -Laplacian ; 2 n th-order ; singularity
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