Results 161 to 170 of about 3,059 (201)

On the Euler–Lagrange Equation in Calculus of Variations

Vietnam Journal of Mathematics, 2018
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Ivar Ekeland, Ekeland Ivar
exaly   +2 more sources

The Euler–Lagrange equation

Peking University Series in Mathematics, 2016
exaly   +2 more sources

On the Numerical Solution of the Euler–Lagrange Equations

SIAM Journal on Numerical Analysis, 1995
This paper is concerned with the numerical solution of the Euler-Lagrange equations of Mechanics, i.e. second-order ordinary differential equations where the variables satisfy some holonomic constraints. Typically such a set of equations in autonomous form can be written as \(M(x)x'' + F'(x)^ T z = G(x,x')\), together with \(F(x) = 0\), where \(F ...
Rabier, Patrick J.   +1 more
openaire   +2 more sources

Fractional Euler–Lagrange equations revisited

Nonlinear Dynamics, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Herzallah, Mohamed A. E.   +1 more
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On the validity of the Euler–Lagrange equation in a nonlinear case

Nonlinear Analysis: Theory, Methods & Applications, 2010
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BONFANTI, GIOVANNI, MAZZOLA, MARCO
openaire   +3 more sources

The Euler-Lagrange Equations

1983
Jakob Bernoulli’s solution of 1696 to his brother Johann’s problem of the brachistochrone (§1.2) marked the introduction of variational considerations. However, it was not until the work of Euler (c. 1742) and Lagrange (1755) that the systematic theory now known as the calculus of variations emerged.
openaire   +1 more source

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