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A generalized Euler–Lagrange equation

Mathematical Proceedings of the Cambridge Philosophical Society, 1969
AbstractA generalized Euler–Lagrange equation is presented. It provides a unified approach to boundary value problems in potential theory, diffusion, magnetostatics, and integral equations.
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Euler-Lagrange Equation

2015
Abstract. In this paper we examine the Euler- Lagrange equation and by expressing the fundamental thermo of calculus of variations, we calculate the Euler- Lagrange equation for the simplest problem of calculus of variations and by offering an example we will discuss the specific modes of Euler - Lagrange equation.  
FATHI POOR, Zahra   +2 more
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On generalizations of the Euler–Lagrange equation

Nonlinear Analysis: Theory, Methods & Applications, 2001
Ledzewicz, Urszula, Schaettler, Heinz
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Integration of the Euler—Lagrange Equation

1981
Let us suppose that the hypotheses of Theorem 2.3 are met so that the Euler-Lagrange equation (2.22) is of the form (2.23). Let us recall these hypotheses: (i) f(·) is twice continuously differentiable (of class C 2); (ii) f rr [t, x*(t), ẋ*(t)]≠0 for all t ∈[t 0, t 1]; (iii) ẋ*(t) is defined for all t ∈[t 0, t 1].
openaire   +1 more source

A new generalization of the fractional Euler–Lagrange equation for a vertical mass-spring-damper

JVC/Journal of Vibration and Control, 2021
Ali Alshomrani   +2 more
exaly  

The validity of the Euler–Lagrange equation for solutions to variational problems

Journal of Fixed Point Theory and Applications, 2014
Arrigo Cellina
exaly  

On the Bounded Slope Condition and the Validity of the Euler Lagrange Equation

SIAM Journal on Control and Optimization, 2002
Arrigo Cellina
exaly  

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