Results 1 to 10 of about 219,479 (266)
Spatial transportation of the beam on a bifilar fastening [PDF]
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
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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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Noether’s theorem for Herglotz type variational problems utilizing complex fractional derivatives [PDF]
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
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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Fractional Complex Euler–Lagrange Equation: Nonconservative Systems
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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Euler‐Lagrange Equation in Free Coordinates
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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Approximation of Mixed Euler-Lagrange σ-Cubic-Quartic Functional Equation in Felbin’s Type f-NLS
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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Algebraic Structure and Poisson Integral Method of Snake-Like Robot Systems
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
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Quantum gravity on a manifold with boundaries: Schrödinger evolution and constraints
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
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Mathematical modeling of angular displacements of the base machine of a twoconsole sprinkler unit
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
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