Results 11 to 20 of about 76,666 (170)
Necessary Condition for an Euler-Lagrange Equation on Time Scales [PDF]
Abstract and Applied Analysis, 2014 We prove a necessary condition for a dynamic integrodifferential equation to be an Euler-Lagrange equation. New and interesting results for the discrete and quantum calculus are obtained as particular cases. An example of a second order dynamic equation,
Monika Dryl, Delfim F. M. Torres
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Noether’s theorem for Herglotz type variational problems utilizing complex fractional derivatives [PDF]
Theoretical and Applied Mechanics, 2021 This is a review article which elaborates the results presented in [1], where the variational principle of Herglotz type with a Lagrangian that depends on fractional derivatives of both real and complex orders is formulated and the invariance of this ...
Janev Marko +2 more
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Characterization and Stability of Multi-Euler-Lagrange Quadratic Functional Equations
Journal of Function Spaces, 2022 The aim of the current article is to characterize and to prove the stability of multi-Euler-Lagrange quadratic mappings. In other words, it reduces a system of equations defining the multi-Euler-Lagrange quadratic mappings to an equation, say, the multi ...
Abasalt Bodaghi +2 more
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AIP Advances, 2023 The principles underlying the variational approach prove to be invaluable tools in articulating physical phenomena, particularly when dealing with conserved quantities.
Ashraful Islam
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Fractional Complex Euler–Lagrange Equation: Nonconservative Systems
Fractal and Fractional, 2023 Classical forbidden processes paved the way for the description of mechanical systems with the help of complex Hamiltonians. Fractional integrals of complex order appear as a natural generalization of those of real order.
Antonela Toma, Octavian Postavaru
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Approximation of Mixed Euler-Lagrange σ-Cubic-Quartic Functional Equation in Felbin’s Type f-NLS
Journal of Function Spaces, 2021 In this research paper, the authors present a new mixed Euler-Lagrange σ-cubic-quartic functional equation. For this introduced mixed type functional equation, the authors obtain general solution and investigate the various stabilities related to the ...
John Michael Rassias +3 more
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Euler‐Lagrange Equation in Free Coordinates
Journal of Mathematics, 2022 In this paper, we introduce different equivalent formulations of variational principle. The language of differential forms and manifold has been utilized to deduce Euler–Lagrange equations in free coordinates. Thus, the expression is simple and global.
Mastourah M. Alotaibi, Sami H. Altoum
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On the variational principle in the unfolded dynamics
Physics Letters B, 2022 The interplay between off-shell and on-shell unfolded systems is analyzed. The formulation of invariant constraints that put an off-shell system on shell is developed by adding new variables and derivation in the target space, that extends the original Q-
A.A. Tarusov, M.A. Vasiliev
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Sampled-Data Consensus for Networked Euler-Lagrange Systems With Differentiable Scaling Functions
IEEE Access, 2021 This paper is concerned with the sampled-data consensus of networked Euler-Lagrange systems. The Euler-Lagrange system has enormous advantages in analyzing and designing dynamical systems.
Yilin Wang +3 more
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Spatial solitons in Schrodinger equation with a spatially modulated nonlinearity: Variational approach [PDF]
Mathematics and Computational Sciences, 2023 In is paper, we have studied the propagation of spatial solitons in the medium with a spatially modulated nonlinearity. Wave equation includes the terms of diffraction and periodic self- focusing.
Mahboubeh Ghalandari
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