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Pontryagin's maximum principle for the optimal pair.
The Maximum Principle for plurisubharmonic functions is the obstruction.
We state Pontryagin's maximum principle for optimal control problems.
Therefore ((u^{(n)})_{t}le0) ((xinOmega)) by the strong maximum principle for parabolic equations.
Furthermore, Luchko established the maximum principle for the generalized fractional differential equations [11].
We apply a direct approach to derive the maximum principle for the problem at hand.
Moreover, they also obtained a sufficient maximum principle for a general optimal control problem.
Characterizations of the maximum principle for sub(super)harmonic functions are considered in [14], as follows.
Then by the maximum principle for subsolutions, such a component cannot be relatively compact.
We establish a maximum principle for subsolutions of second order elliptic equations.
Yu [17] obtained a maximum principle for SDDEs with random coefficients.
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