Results 31 to 40 of about 20,465 (306)
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 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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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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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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Variational Principles for Two Compound Nonlinear Equations with Variable Coefficients [PDF]
Journal of Applied and Computational Mechanics, 2021 It is very important to seek explicit variational principles for nonlinear partial differential equations, which are theoretical bases for many methods to solve or analyze the nonlinear phenomena and problems.
Xiao-Qun Cao +4 more
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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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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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Towards the substantiation of methods for optimizing the transportation work of locomotives under railway operating conditions [PDF]
E3S Web of Conferences, 2023 An analysis of existing methods for optimizing the transportation work of locomotives in operation is presented, based on a refined formulation and criteria for the problem of optimal control of train movement by locomotives of different types of ...
Ablyalimov O.
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