Results 21 to 30 of about 76,470 (160)
RETRACTED: On the Nature of Some Euler’s Double Equations Equivalent to Fermat’s Last Theorem
Mathematics, 2022 In this work, I provide a new rephrasing of Fermat’s Last Theorem, based on an earlier work by Euler on the ternary quadratic forms. Effectively, Fermat’s Last Theorem can be derived from an appropriate use of the concordant forms of Euler and from an ...
Andrea Ossicini
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A solution to a fractional order semilinear equation using variational method
Mathematics in Applied Sciences and Engineering, 2020 We will discuss how we obtain a solution to a semilinear pseudo-differential equation involving fractional power of laplacian by using a method analogous to the direct method of calculus of variations.
Ramesh Karki, Young Hwan You
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Lagrange coordinates for the Einstein-Euler equations
, 2012 We derive a new symmetric hyperbolic formulation of the Einstein-Euler equations in Lagrange coordinates that are adapted to the Frauendiener-Walton formulation of the Euler equations.
Oliynyk, Todd A.
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Generalized Stability of Euler-Lagrange Quadratic Functional Equation
Abstract and Applied Analysis, 2012 The main goal of this paper is the investigation of the general solution and the generalized Hyers-Ulam stability theorem of the following Euler-Lagrange type quadratic functional equation f(ax+by)+af(x-by)=(a+1)b2f(y)+a(a+1)f(x), in (β,p)-Banach space ...
Hark-Mahn Kim, Min-Young Kim
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An obstacle problem for a class of Monge-Amp\`ere type functionals
, 2012 In this paper we study an obstacle problem for Monge-Amp\`ere type functionals, whose Euler-Lagrange equations are a class of fourth order equations, including the affine maximal surface equations and Abreu's ...
Liu, Jiakun, Zhou, Bin
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Euler-Lagrange Equations of Networks with Higher-Order Elements [PDF]
Radioengineering, 2017 The paper suggests a generalization of the classic Euler-Lagrange equation for circuits compounded of arbitrary elements from Chua’s periodic table.
Z. Biolek, D. Biolek
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Théorème de Noether stochastique [PDF]
, 2005 4 pagesThe stochastic embedding procedure associates a stochastic Euler-Lagrange equation (SEL) to the standard Euler-Lagrange equation (EL). Can we derive (SEL) from a generalized least action principle? To address this question, we develop a stochastic
Cresson, Jacky, Darses, Sébastien
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A Novel Variational Principle in Electrostatics and its Consequences
, 2013 We propose a novel variational principle in electrostatics and show that one can derive mirror equation in the context of image problem starting from this principle.
Bhattacharya, Kolahal
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Time-Fractional KdV Equation: Formulation and Solution using Variational Methods
, 2011 In this work, the semi-inverse method has been used to derive the Lagrangian of the Korteweg-de Vries (KdV) equation. Then, the time operator of the Lagrangian of the KdV equation has been transformed into fractional domain in terms of the left-Riemann ...
A. A. Mahmoud +43 more
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Cooperative Target Tracking by Multiagent Camera Sensor Networks via Gaussian Process
IEEE Access, 2022 In this paper, we present learning-based robust cooperative control for camera sensor networks. The dynamics of each camera agent with the pan and tilt mechanism is modeled by the Euler-Lagrange equation.
Takashi Adachi +2 more
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