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The optimal-control problem is formulated using the calculus of variations and Pontryagin's maximum principle.
The problem is formulated in a variational form and then solved analytically using the calculus of variations.
The optimization problem is formulated as a variational problem and then solved analytically using the calculus of variations.
By using the calculus of variations, we transform the minimization of cost function to a six-dimensional two-point boundary value problem (BVP).
The fuel-optimal problem is formulated using the calculus of variations and Pontryagin's Maximum Principle in a complete four-body dynamical environment.
A mathematical model of diffusion reaction, velocity and temperature functionals is developed using the calculus of variation and the concept of "local potential".
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In Section 3, we use the calculus of optimization to find the optimal combinations (n, k) that minimize the variance of the MLE of WSCV for normally distributed variables.
Problem* was solved for a diffusion by using the Malliavin Calculus of Bismut type in semigroup theory in [8].
Using the probability calculus of Bayes Theorem, Salmon concludes that it is very improbable that the universe was created by the type of intelligent being theists argue for.
The main feature of this methodology is that all the mathematical procedure already developed in the context of shape sensitivity analysis may be used in the calculus of the topological derivative.
We use the Malliavin Calculus of Bismut type of (Léandre, (2008 2010)) translated in semi-group theory as a tool, and the interpretation in semi-group theory of some classical results of the stochastic analysis for Poisson process as, for instance, the formula giving the law of a compound Poisson process.
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