Advances in Mathematical Economics Volume 18 pp 1-59

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Optimal Control Problems Governed by a Second Order Ordinary Differential Equation with m-Point Boundary Condition

  • Charles Castaing
  • Christiane Godet-Thobie
  • Le Xuan Truong
  • Bianca Satco
Chapter

Abstract

Using a new Green type function we present a study of optimal control problem where the dynamic is governed by a second order ordinary differential equation (SODE) with m-point boundary condition.

Key words

Differential game Green function m-Point boundary Optimal control Pettis Strategy Sweeping process Viscosity 

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Copyright information

© Springer Japan 2014

Authors and Affiliations

  • Charles Castaing
    • 1
  • Christiane Godet-Thobie
    • 2
  • Le Xuan Truong
    • 3
  • Bianca Satco
    • 4
  1. 1.Département de Mathématiques de Brest, Case 051Université Montpellier IIMontpellier cedexFrance
  2. 2.Laboratoire de Mathématiques de Brest, CNRS-UMR 6205Université de Bretagne OccidentaleBrest Cedex 3France
  3. 3.Department of Mathematics and StatisticsUniversity of Economics of HoChiMinh CityHoChiMinh CityVietnam
  4. 4.Stefan cel Mare University of SuceavaSuceavaRomania

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