Results 11 to 20 of about 153,025 (273)
Applied Mathematics and Computation, 2010 The fundamental problem of the calculus of variations on time scales concerns the minimization of a delta-integral over all trajectories satisfying given boundary conditions.
Agnieszka B. Malinowska +27 more
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The variational calculus on time scales [PDF]
International Journal for Simulation and Multidisciplinary Design Optimization, 2010 The discrete, the quantum, and the continuous calculus of variations, have been recently unified and extended by using the theory of time scales. Such unification and extension is, however, not unique, and two approaches are followed in the literature ...
Torrest Delfim F.M.
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Modeling of the Electronic Structure of Semiconductor Nanoparticles
Mathematics, 2023 This paper deals with the mathematical modeling of the electronic structure of semiconductor particles. Mathematically, the task is reduced to a joint solution of the problem of free energy minimization and the set of chemical kinetic equations ...
Vasily B. Novozhilov +5 more
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Constrained Nonsmooth Problems of the Calculus of Variations
, 2021 The paper is devoted to an analysis of optimality conditions for nonsmooth multidimensional problems of the calculus of variations with various types of constraints, such as additional constraints at the boundary and isoperimetric constraints.
Dolgopolik, M. V.
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Optimal Control Theory: Introduction to the Special Issue
Games, 2021 Optimal control theory is a modern extension of the classical calculus of variations [...]
Ellina Grigorieva
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Hahn's Symmetric Quantum Variational Calculus [PDF]
, 2012 We introduce and develop the Hahn symmetric quantum calculus with applications to the calculus of variations. Namely, we obtain a necessary optimality condition of Euler-Lagrange type and a sufficient optimality condition for variational problems within ...
A. B. Malinowska +28 more
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The Approximation Solution of Some Calculus of Variation Problems Based Euler-Lagrange Equations [PDF]
Engineering and Technology Journal, 2016 The proposed method transforming some of calculus of variation problems into Euler-Lagrange equations, the simplicity and effectiveness of this illustrated through some ...
Zina Khalil Alabacy
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Fractal and Fractional, 2023 In this paper, we investigate the necessary conditions to optimize a given functional, involving a generalization of the tempered fractional derivative.
Ricardo Almeida
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Hartley Series Direct Method for Variational Problems [PDF]
Mathematics Interdisciplinary Research, 2017 The computational method based on using the operational matrix of an orthogonal function for solving variational problems is computer oriented. In this approach, a truncated Hartley series together with the operational matrix of integration and ...
Abbas Saadatmandi
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Basic calculus of variations [PDF]
Pacific Journal of Mathematics, 1983 For the classical one-dimensional problem in the calculus of variations, a necessary condition that the integral be lower semicontinuous is that the integrand be convex as a function of the derivative. We shall see that, if the problem is properly posed, then this condition is also necessary for the ^-dimensional problem.
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