Optimal control problem of positive solutions to second order impulsive differential equations (Q415188)
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scientific article; zbMATH DE number 6033714
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Optimal control problem of positive solutions to second order impulsive differential equations |
scientific article; zbMATH DE number 6033714 |
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Optimal control problem of positive solutions to second order impulsive differential equations (English)
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11 May 2012
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Summary: We consider optimal control problem of second order impulsive differential equations. We show the existence and uniqueness of positive solutions to our problem for each given control function. Also, we consider the control problem of positive solutions to our equations. Then, we prove the existence of an optimal control that minimizes the nonlinear cost functional. Moreover, we give an example of the main results.
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positive solutions
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second order impulsive differential equations
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fixed point theorem
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optimal control problem
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