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A generalized Euler–Lagrange equation
Mathematical Proceedings of the Cambridge Philosophical Society, 1969AbstractA 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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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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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, 2001Ledzewicz, Urszula, Schaettler, Heinz
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Integration of the Euler—Lagrange Equation
1981Let 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].
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A new generalization of the fractional Euler–Lagrange equation for a vertical mass-spring-damper
JVC/Journal of Vibration and Control, 2021Ali Alshomrani +2 more
exaly
The validity of the Euler–Lagrange equation for solutions to variational problems
Journal of Fixed Point Theory and Applications, 2014Arrigo Cellina
exaly
On the Bounded Slope Condition and the Validity of the Euler Lagrange Equation
SIAM Journal on Control and Optimization, 2002Arrigo Cellina
exaly

