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References in periodicals archive ?
Your studies of physics covered dynamic analysis, including differential equations, the calculus of variations and stochastic processes (random walk, Wiener process and Brownian motion).
6 Application of the Duality Principle to the Calculus of Variations on Time Scales
Linking and underpinning the two themes are common mathematical and conceptual challenges, such as understanding the existence and singularities of minimisers in the multi-dimensional calculus of variations, the approach to equilibrium of thermomechanical systems, and the passage from atomic and molecular to continuum descriptions of materials.
A direct impact of this fact is viewed in the calculus of variations setting, where A = 0 and B = I (with m = n) and where the corresponding Jacobi system ([J.
of Muenster) present the complete theory of quadratic conditions for smooth problems of the calculus of variations and optimal control, and apply the theory to control problems with ordinary differential equations subject to boundary conditions of equality and inequality type and mixed control-state constraints of equality type.
Zezza, Conjugate points in the calculus of variations and optimal control theory via the quadratic form theory, Differential Equations Dynam.
Computational Methods in the Fractional Calculus of Variations
Some sections of the book contain more advanced material, particularly nonlinear functional analysis and some topics in the calculus of variations.
This textbook on applied calculus of variations is aimed at engineers who need to find solutions to problems that involve optimal quantities, shapes and functions.