Results 21 to 30 of about 20,567 (306)
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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, 2016 The Calculus of Variations is subject with a long and distinguished history, a great deal of diverse current activity, and close connections to other fields such as geometry and mathematical physics.
Živković, Josip
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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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Exterior Convexity And Classical Calculus Of Variations [PDF]
, 2016 We study the relation between various notions of exterior convexity introduced in [S. Bandyopadhyay, B. Dacorogna and S. Sil, J. Eur. Math. Soc. 17 (2015) 1009-1039.] with the classical notions of rank one convexity, quasiconvexity and polyconvexity.
Swarnendu Sil +3 more
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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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The figuratrix in the calculus of variations [PDF]
Transactions of the American Mathematical Society, 1926 Hadamard defines the figurative of the point (x, y) as the curve F(x', y') 1, where x' and y' are the current co6rdinates, and x and y are considered constant.t The polar reciprocal of the figurative with respect to the unit circle x'2 +y'2 = 1 is termed by Hadamard the figuratrix.
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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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The Hahn Quantum Variational Calculus [PDF]
Journal of Optimization Theory and Applications, 2010 We introduce the Hahn quantum variational calculus. Necessary and sufficient optimality conditions for the basic, isoperimetric, and Hahn quantum Lagrange problems, are studied. We also show the validity of Leitmann's direct method for the Hahn quantum variational calculus, and give explicit solutions to some concrete problems.
Agnieszka B. Malinowska +1 more
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