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Second-order problems involving time-dependent subdifferential operators and application to control

  • * Corresponding author: Soumia Saïdi

    * Corresponding author: Soumia Saïdi 
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  • The paper provides a new result concerning the existence of solutions for second-order evolution problems associated with time-dependent subdifferential operators involving both single-valued and mixed semi-continuous set-valued perturbations. Optimal control problems corresponding to such differential inclusions using relaxation theorems with Young measures are investigated. The existence of solutions for a coupled system governed by a second-order differential equation with an evolution problem is also addressed.

    Mathematics Subject Classification: Primary: 34A60, 34G25, 47H10; Secondary: 49J52, 49J53.


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