Results 11 to 20 of about 13,711 (154)
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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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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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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Special Functions of Mathematical Physics: A Unified Lagrangian Formalism
Mathematics, 2020 Lagrangian formalism is established for differential equations with special functions of mathematical physics as solutions. Formalism is based on either standard or non-standard Lagrangians.
Zdzislaw E. Musielak +2 more
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Hyers-Ulam Stability of Euler’s Equation in the Calculus of Variations
Mathematics, 2021 In this paper we study Hyers-Ulam stability of Euler’s equation in the calculus of variations in two special cases: when F=F(x,y′) and when F=F(y,y′). For the first case we use the direct method and for the second case we use the Laplace transform.
Daniela Marian +2 more
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En Route for the Calculus of Variations
Ratio Mathematica, 2019 Optimal control deals with the problem of finding a control law for a given system such that a certain optimality criterion is achieved. An optimal control is an extension of the calculus of variations.
Jan Coufal, Jiří Tobíšek
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Solution of Problems in Calculus of Variations Using Parameterization Technique [PDF]
Engineering and Technology Journal, 2014 In this paper a direct method using parameterization technique is applied for solving some problems in calculus of variations. The parameterization technique based on Laguerre and Hermite polynomials is introduced to reduce a variational problem to ...
Fatema Ahmed Sadeq
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