Results 21 to 30 of about 153,025 (273)
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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The contingent epiderivative and the calculus of variations on time scales
, 2010 The calculus of variations on time scales is considered. We propose a new approach to the subject that consists in applying a differentiation tool called the contingent epiderivative.
Girejko, Ewa +2 more
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Modified Mittag-Leffler Functions with Applications in Complex Formulae for Fractional Calculus
Fractal and Fractional, 2020 Mittag-Leffler functions and their variations are a popular topic of study at the present time, mostly due to their applications in fractional calculus and fractional differential equations.
Arran Fernandez, Iftikhar Husain
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Frontiers in Marine Science, 2019 Ocean data assimilation is increasingly recognized as crucial for the accuracy of real-time ocean prediction systems and historical re-analyses. The current status of ocean data assimilation in support of the operational demands of analysis, forecasting ...
Andrew M. Moore +16 more
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Value Functions for Bolza Problems with Discontinuous Lagrangians and Hamilton-Jacobi Inequalities [PDF]
, 2000 We investigate the value function of the Bolza problem of the Calculus of Variations $$ V (t,x)=\inf \{\int_{0}^{t} L (y(s),y'(s))ds + \phi(y(t)) : y \in W^{1,1} (0,t; R^n) ; y(0)=x \}, $$ with a lower semicontinuous Lagrangian $L$ and a final cost ...
Amar +17 more
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Optimal Feed Rate Control of Escherichia coli Fed-batch Fermentation [PDF]
Bioautomation, 2005 In this paper an optimal control algorithm for E. coli fed-batch fermentation has been developed. A simple material balance model is used to describe the E. coli fermentation process.
Olympia Roeva, Stoyan Tzonkov
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Non-occurrence of the Lavrentiev phenomenon for a class of convex nonautonomous Lagrangians
Open Mathematics, 2020 We consider the classical functional of the Calculus of Variations of the ...
Mariconda Carlo, Treu Giulia
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