The Euler-Lagrange Equation
Euler Euler Everywhere Using the Euler-Lagrange Equation to Solve Calculus of Variation Problems
... We begin some examples of the use of the Euler-Lagrange equation with a classical calculus of variations problem, the brachistrochrone. Several solu- tions to the brachistochrone problem were put ...
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An analytic study on the Euler-Lagrange equation arising in calculus of variations
... The Euler-Lagrange equation plays an important role in the minimization problems of the calculus of ...the Euler-Lagrange equation which arise from problems of calculus of ...
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Derivation of dual horizon state-based peridynamics formulation based on euler-lagrange equation
... Received: 14 April 2020 / Accepted: 6 August 2020 © The Author(s) 2020 Abstract The numerical solution of peridynamics equations is usually done by using uniform spatial discreti- sation. Although implementation of ...
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On the Homotopy Analysis Method and Optimal Value of the Convergence Control Parameter: Solution of Euler Lagrange Equation
... This paper presents, an efficient approach for solving Euler-Lagrange Equation which arises from calculus of variations. Homotopy analysis method to find an approximate solution of variational ...
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THE APPLICATION OF THE EULER-LAGRANGE EQUATION SOLUTION TO THE PROBLEM OF THE DYNAMICS OF THE SYSTEM "BRIDGE-TRAIN"
... ность эффективно использовать особенность составных систем , учитывать повторяющуюся структуру и рассматривать их отдельные блоки. ( подсистемы ).[r] ...
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tr g φ hdvol M. 2 The Euler-Lagrange equation for the energy functional is called the harmonic map equation:
... In order to do this, we will construct a twistor fibration Z over the Euclidean space R 3 and then exhibit the correspondence by twistor lifts and projections between holorphic curves in[r] ...
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Solvability of Quasilinear Euler-Lagrange Equations
... singular Euler-Lagrange equation with natural growth with p = N has been investigated by Quincy Stevene Nkombo (see ...quasilinear Euler-Lagrange equation with 1 < p < ...
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Euler-Lagrange equations for high energy actions in QCD and in gravity
... the Euler-Lagrange equation for a general kinematics in the e ff ective ac- tion, one obtains a generating function for the reggeized gluon vertices in the tree approximation [6, ...the ...
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Multiplicity of Solutions for Quasilinear Singular Euler-Lagrange Equations with Natural Growth
... In section 3, we show the existence of multiplicity solu- tions to equation (1.1)-(1.2) for 0 < γ ≤ 1; 0 < λ < λ ∗ and 1 < θ < N < q < γ + N using the theorem 2.3 in [2] and the method established in the theorem ...
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Formulation of Euler Lagrange and Hamilton equations involving fractional operators with regular kernel
... fractional Euler-Lagrange equation of the P-U os- cillator and the Hamiltonian of a two-electric pendulum model via the Caputo-Fabrizio operator and the new fractional operator based on the ...
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Euler Lagrange Elasticity with Dynamics
... The advantage of Hardy’s approach is that Equation (3) is applicable to both infinitesimal and finite defor- mations as well as being appropriate for both anisotropic and isotropic materials. The disadvantage of ...
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Newton-Euler Lagrange for Robotics
... second equation This formula holds for the force that applies to the center of mass of an ...second equation is the rotational equivalent of force, the ...
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Fuzzy Stability of Euler-Lagrange Type Cubic Functional Equation: A Fixed Point Approach
... A classical question in the theory of functional equations is the following: “when is it true that a function, which approximately satisfies a functional equation ε, must be close to an exact solution of ε?”. If ...
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Stability of Euler-Lagrange-Jensen’s (a,b)- Sextic Functional Equation in Multi-Banach Spaces
... functional equation arises when one replaces a functional equation by an inequality which acts as a perturbation of the ...functional equation was raised by ...
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Approximate Euler Lagrange quadratic mappings
... During the last three decades, a number of papers and research monographs have been published on various generalizations and applications of the Hyers-Ulam stability of several functional equations, and there are many ...
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Fuzzy approximation of Euler Lagrange quadratic mappings
... 17. Pourpasha, MM, Rassias, JM, Saadati, R, Vaezpour, SM: A fixed point approach to the stability of Pexider quadratic functional equation with involution. J. Inequal. Appl. 2010, Article ID 839639 (2010) 18. Ulam, ...
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Stability Problem of Ulam for Euler Lagrange Quadratic Mappings
... functional equation arises when we replace the functional equation by an inequality which acts as a perturbation of the ...functional equation?” If the answer is affirmative, we would say that the ...
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A coupled Euler Lagrange CFD modelling of droplets to film
... The number of nodes (N x , N y , N z ) used for mesh dependence studies are shown in Table 1. From Fig. 6b, N f represents the number of nodes in the region where the film is expected. The target fill level is 1.2mm for ...
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Stability of a Generalized Euler Lagrange Type Additive Mapping and Homomorphisms in Algebras
... i1 r i / 0, r i , r j / 0 for some 1 ≤ i < j ≤ n and a mapping f : X → Y satisfies the functional equation mentioned above then the mapping f : X → Y is Cauchy additive. As an application, we investigate ...
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