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A class of nonlinear integrodifferential impulsive periodic systems of mixed type and optimal controls on Banach space

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Abstract

A class of nonlinear integrodifferential impulsive periodic systems of mixed type on Banach space is considered. Existence of periodic PC-mild solutions is proved. Existence of periodic optimal pairs of systems governed by nonlinear impulsive integrodifferential equations of mixed type is also presented. An example is given for demonstration.

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Authors and Affiliations

  1. College of Science of Guizhou University, Guiyang, Guizhou, 550025, PR China

    JinRong Wang, X. Xiang & W. Wei

Authors
  1. JinRong Wang
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  2. X. Xiang
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  3. W. Wei
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Correspondence to JinRong Wang.

Additional information

This work is supported by Natural Science Foundation of Guizhou Province Education Department (No. 2007008), International Cooperate Item of Guizhou Province (No. (2006) 400102) and Undergraduate Carve Out Project of Department of Guiyang Science and Technology ([2008] No. 15-2).

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Wang, J., Xiang, X. & Wei, W. A class of nonlinear integrodifferential impulsive periodic systems of mixed type and optimal controls on Banach space. J. Appl. Math. Comput. 34, 465–484 (2010). https://doi.org/10.1007/s12190-009-0332-8

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  • DOI: https://doi.org/10.1007/s12190-009-0332-8

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