Results 1 to 10 of about 219,479 (266)

Spatial transportation of the beam on a bifilar fastening [PDF]

open access: yesFME Transactions, 2022
The complex problem of the spatial motion of the "trolley-beam" mechanical system is investigated. Three stages are considered: 1) movement of the beam on a bifilar suspension to the movable trolley; 2) movement of the beam after the breakage of one ...
Stadnik Alexander   +3 more
doaj   +1 more source

Deriving the cosmological constant from the Euler–Lagrange equation of second-order differentiable gravitational field Lagrangian

open access: yesAIP 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
doaj   +1 more source

Noether’s theorem for Herglotz type variational problems utilizing complex fractional derivatives [PDF]

open access: yesTheoretical 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
doaj   +1 more source

Characterization and Stability of Multi-Euler-Lagrange Quadratic Functional Equations

open access: yesJournal 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
doaj   +1 more source

Fractional Complex Euler–Lagrange Equation: Nonconservative Systems

open access: yesFractal 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
doaj   +1 more source

Euler‐Lagrange Equation in Free Coordinates

open access: yesJournal 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
doaj   +1 more source

Approximation of Mixed Euler-Lagrange σ-Cubic-Quartic Functional Equation in Felbin’s Type f-NLS

open access: yesJournal 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
doaj   +1 more source

Algebraic Structure and Poisson Integral Method of Snake-Like Robot Systems

open access: yesFrontiers in Physics, 2021
The algebraic structure and Poisson's integral of snake-like robot systems are studied. The generalized momentum, Hamiltonian function, generalized Hamilton canonical equations, and their contravariant algebraic forms are obtained for snake-like robot ...
Fu Jing-Li, Xiang Chun, Meng Lei
doaj   +1 more source

Quantum gravity on a manifold with boundaries: Schrödinger evolution and constraints

open access: yesEuropean Physical Journal C: Particles and Fields, 2022
In this work, we derive the boundary Schrödinger (functional) equation for the wave function of a quantum gravity system on a manifold with boundaries together with a new constraint equation defined on the timelike boundary.
J. A. Rosabal
doaj   +1 more source

Mathematical modeling of angular displacements of the base machine of a twoconsole sprinkler unit

open access: yesВестник Дагестанского государственного технического университета: Технические науки, 2023
Objective. The purpose of the study is to reveal the theoretical and practical aspects of mathematical modeling of the angular displacements of the base machine, which allows a deeper understanding of the principles of its operation and interaction with ...
T. G. Gasanov   +3 more
doaj   +1 more source

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