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  • 标题:Necessary and sufficient conditions for eventually vanishing oscillatory solutions of functional equations with small delays
  • 本地全文:下载
  • 作者:Bhagat Singh
  • 期刊名称:International Journal of Mathematics and Mathematical Sciences
  • 印刷版ISSN:0161-1712
  • 电子版ISSN:1687-0425
  • 出版年度:1978
  • 卷号:1
  • 期号:3
  • 页码:269-283
  • DOI:10.1155/S0161171278000307
  • 出版社:Hindawi Publishing Corporation
  • 摘要:

    Necessary and sufficient conditions are found for all oscillatory solutions of the equation ( r n − 1 ( t ) ( r n − 2 ( t ) ( − − − ( r 2 ( t ) ( r 1 ( t ) y ′ ( t ) ) ′ ) ′ − − − ) ′ ) ′ ) ′ + a ( t ) h ( y ( g ( t ) ) ) = b ( t ) to approach zero. Sufficient conditions are also given to ensure that all solutions of this equation are unbounded.

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