Results 31 to 40 of about 3,059 (201)
Generalized Stability of Euler-Lagrange Quadratic Functional Equation
Abstract and Applied Analysis, 2012 The main goal of this paper is the investigation of the general solution and the generalized Hyers-Ulam stability theorem of the following Euler-Lagrange type quadratic functional equation f(ax+by)+af(x-by)=(a+1)b2f(y)+a(a+1)f(x), in (β,p)-Banach space ...
Hark-Mahn Kim, Min-Young Kim
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Advanced Nonlinear Studies, 2020 We prove the existence of extremals for fractional Moser–Trudinger inequalities in an interval and on the whole real line. In both cases we use blow-up analysis for the corresponding Euler–Lagrange equation, which requires new sharp estimates obtained ...
Mancini Gabriele, Martinazzi Luca
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Euler-Lagrange Equations of Networks with Higher-Order Elements [PDF]
Radioengineering, 2017 The paper suggests a generalization of the classic Euler-Lagrange equation for circuits compounded of arbitrary elements from Chua’s periodic table.
Z. Biolek, D. Biolek
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Euler–Lagrange–Herglotz equations on Lie algebroids
Analysis and Mathematical Physics, 2023 AbstractWe introduce Euler–Lagrange–Herglotz equations on Lie algebroids. The methodology is to extend the Jacobi structure from$$TQ\times \mathbb {R}$$TQ×Rand$$T^{*}Q \times \mathbb {R}$$T∗Q×Rto$$A\times \mathbb {R}$$A×Rand$$A^{*}\times \mathbb {R}$$A∗×R, respectively, whereAis a Lie algebroid and$$A^{*}$$A∗carries the associated Poisson structure. We
Anahory Simoes, Alexandre +4 more
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On the Equivalence of Euler-Lagrange and Noether Equations [PDF]
Mathematical Physics, Analysis and Geometry, 2016 We prove that on the condition of non-trivial solutions, the Euler-Lagrange and Noether equations are equivalent for the variational problem of nonlinear Poisson equation and a class of more general Lagrangians, including position independent and of p-Laplacian type.
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Approximate Euler-Lagrange Quadratic Mappings in Fuzzy Banach Spaces
Abstract and Applied Analysis, 2013 We consider general solution and the generalized Hyers-Ulam stability of an Euler-Lagrange quadratic functional equation in fuzzy Banach spaces, where , are nonzero rational numbers with , .
Hark-Mahn Kim, Juri Lee
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Mathematics, 2019 The present paper recalls a formulation of non-conservative system dynamics through the Lagrange−d’Alembert principle expressed through a generalized Euler−Poincaré form of the system equation on a Lie group.
Simone Fiori
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Cooperative Target Tracking by Multiagent Camera Sensor Networks via Gaussian Process
IEEE Access, 2022 In this paper, we present learning-based robust cooperative control for camera sensor networks. The dynamics of each camera agent with the pan and tilt mechanism is modeled by the Euler-Lagrange equation.
Takashi Adachi +2 more
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Advanced Materials Technologies, EarlyView.The study considers the use of polymer/dielectric‐based multilayers piezoelectric Energy Harvesters (EH) to produce an output voltage and current, by exploiting the mechanical energy provided by human organs movements. In particular, the heart motion is considered from the kinematic viewpoint, and a multiphysics theoretical model is developed to assess
Hamdi Ezzin +5 more
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Solving the geodesics on the ellipsoid as a boundary value problem
Journal of Geodetic Science, 2013 The geodesic between two given points on an ellipsoid is determined as a numerical solution of a boundary value problem. The secondorder ordinary differential equation of the geodesic is formulated by means of the Euler-Lagrange equation of the calculus ...
Panou G., Delikaraoglou D., Korakitis R.
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