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Nonlinear impulsive integro-differential equations of mixed type and optimal controls

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Pages 141-156 | Received 10 Nov 2004, Accepted 16 Mar 2005, Published online: 11 Oct 2011

References

  • Agrarwall , RP and Leela , SG . 2000 . A brief of biography and survey of collected works of V. Lakshmikantham. . Nonlinear Analysis , 40 : 1 – 19 .
  • Ahmed , NU . 1991 . Semigroup Theory with Applications to System and Control , Pitman Research Notes in Maths Series 246 New York : Longman Scientific Technical .
  • Ahmed , NU , Teo , KL and Hou , SH . 2003 . Nonlinear impulsive systems on infinite dimensional spaces. . Nonlinear Analysis , 54 : 907 – 925 .
  • Yan-Lai , Chen . 2003 . Solutions of a boundary value problem for a class of nonlinear integro-differential equations in banach spaces. . Acta Analysis Functionalis Applicata , 5 ( 4 ) : 322 – 329 .
  • Guo , D and Liu , X . 1993 . Extremal solutions of nonlinear impulsive integro-differential equations in banach space. . Journal of Mathematical Analysis and Applications , 177 : 538 – 552 .
  • Hu , S and Papageorgiou , NS . 1997 . Handbook of Multivalued Analysis (Theory) , Dordrecht, Boston, London : Kluwer Academic Publishers .
  • Zhimin , He and Xiaoming , He . 2004 . Periodic boundary value problems for first order impulsive integro-differential equations of mixed type. . Journal of Mathematical Analysis and Applications , 296 : 8 – 20 .
  • Lakshmikantham , V , Bainov , DD and Simeonov , PS . 1989 . Theory of Impulsive Differential Equations , Singapore–London : World Scientific .
  • Xunjing , Li and Jiongmin , Yong . 1995 . Optimal Control Theory for Infinite Dimensional Systems , Boston : Birkhauser .
  • Liu , X and Willms , AR . 1995 . Stability analysis and applications to large scale impulsive system. A new approach. . The Canadian Applied Mathematics Quarterly , 3 : 419 – 444 .
  • Peng , Yunfei , Xiaoyuan , Chen and Wei , Wei . 2002 . Existence of α−mild solutions for a class of nonlinear evolution equations. . Guizhou Science , 20 : 30 – 36 .
  • Xiang , X and Jiang , Yang . 2003 . Optimal control of systems governed by a class of integro-differential equations. . Journal of Guizhou University , 4 : 335 – 342 .
  • Xiang , Xiaoling and Kuang , Huawu . 2000 . Delay systems and optimal controls. . Acta Mathematices Applicates Sinica , 16 : 27 – 35 .
  • Xiang , X , Peng , Y and Wei , W . 2005 . A General Class of Nonlinear Impulsive Integral Differential Equations and Optimal Controls on Banach Spaces . Discrete and Continuous Dynamical Systems , Supplement Volume : 911 – 919 .

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