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  • 标题:Asymptotic behavior of solutions of mixed type impulsive neutral differential equations
  • 本地全文:下载
  • 作者:Jessada Tariboon ; Sotiris K Ntouyas ; Chatthai Thaiprayoon
  • 期刊名称:Advances in Difference Equations
  • 印刷版ISSN:1687-1839
  • 电子版ISSN:1687-1847
  • 出版年度:2014
  • 卷号:2014
  • 期号:1
  • 页码:327
  • DOI:10.1186/1687-1847-2014-327
  • 语种:English
  • 出版社:Hindawi Publishing Corporation
  • 摘要:This paper investigates the asymptotic behavior of solutions of the mixed type neutral differential equation with impulsive perturbations [ x ( t ) + C ( t ) x ( t − τ ) − D ( t ) x ( α t ) ] ′ + P ( t ) f ( x ( t − δ ) ) + Q ( t ) t x ( β t ) = 0 , 0 < t 0 ≤ t , t ≠ t k , x ( t k ) = b k x ( t k − ) + ( 1 − b k ) ( ∫ t k − δ t k P ( s + δ ) f ( x ( s ) ) d s + ∫ β t k t k Q ( s / β ) s x ( s ) d s ) , k = 1 , 2 , 3 , … . Sufficient conditions are obtained to guarantee that every solution tends to a constant as t → ∞ . Examples illustrating the abstract results are also presented. MSC:34K25, 34K45.
  • 关键词:asymptotic behavior ; nonlinear neutral delay differential equation ; impulse ; Lyapunov functional
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