Results 101 to 110 of about 18,923 (199)
The Euler-Lagrange equation is a mathematical tool that allows us to find functions which minimize certain quantities, such as a path function that minimizes the energy in a system or the distance between two points.
Murphy-Blanchard, Finn
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Optimizing Variational Problems through Weighted Fractional Derivatives
Fractal and FractionalIn this article, we explore a variety of problems within the domain of calculus of variations, specifically in the context of fractional calculus. The fractional derivative we consider incorporates the notion of weighted fractional derivatives along with
Ricardo Almeida
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Design of Two‐Segment Constant‐Force Compliant Mechanisms via Stiffness‐Matched Parallel Integration
Engineering Reports, Volume 8, Issue 6, June 2026.This work presents a novel design for two‐segment constant‐force compliant mechanisms that achieve dual‐stage zero‐stiffness via stiffness‐matched parallel integration. Experimental results demonstrate constant forces of 4 N and 20 N with less than 5% variation, enabling extended operational ranges for precision applications such as robotic ...
Junfeng Hu, Xiwei Jiang
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J. M. RASSIAS PRODUCT-SUM STABILITY OF AN EULER-LAGRANGE FUNCTIONAL EQUATION
, 2014 . In 1940 (and 1964) S. M. Ulam proposed the well-known Ulam stability problem. In 1941 D. H. Hyers solved the Hyers-Ulam problem for linear mappings. In 1992 and 2008, J. M.
Matina J. Rassias
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Global solutions to a one-dimensional nonlinear wave equation derivable from a variational principle
Electronic Journal of Differential Equations, 2017 This article focuses on a one-dimensional nonlinear wave equation which is the Euler-Lagrange equation of a variational principle whose Lagrangian density involves linear terms and zero term as well as quadratic terms in derivatives of the field.
Yanbo Hu, Guodong Wang
doaj
Elastoplasticity Informed Kolmogorov–Arnold Networks Using Chebyshev Polynomials
International Journal for Numerical and Analytical Methods in Geomechanics, Volume 50, Issue 8, Page 3331-3354, 10 June 2026.ABSTRACT Multilayer perceptron (MLP) networks are predominantly used to develop data‐driven constitutive models for granular materials. They offer a compelling alternative to traditional physics‐based constitutive models in predicting non‐linear responses of these materials, for example, elastoplasticity, under various loading conditions. To attain the
Farinaz Mostajeran, Salah A. Faroughi
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Stability of a generalized Euler–Lagrange radical multifarious functional equation
In this paper, we introduce a new generalized version of the Euler–Lagrange functional equation, namely, generalized Euler–Lagrange radical multifarious functional equation and investigate its Hyers–Ulam stability in fuzzy modular spaces (in short, FM ...
Rassias, John M. +3 more
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Mass‐Exchange Processes in a Biphasic TPM‐Phase‐Field Model
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.ABSTRACT The modelling of hydraulic fracturing processes in porous media gained significant interest in the past. Therefore, several approaches, such as the Biot theory or the Theory of Porous Media (TPM), were used as their modelling basis. In combination with the phase‐field method for a diffuse fracture description, especially the TPM has turned out
Yann Rivas +2 more
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A NEW TYPE OF DISCRETE EULER-LAGRANGE EQUATION WITH APPLICATIONS IN OPTIMAL CONTROL
, 2014 A new type of discrete Euler-Lagrange equation, suitable for generalization, is presented in this paper. Several forms of this equation can be found in references. They have different differential operators as well as combinations of them.
Perić, Staniša Lj +4 more
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On MAP Estimates and Source Conditions for Drift Identification in SDEs
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.ABSTRACT We consider the inverse problem of identifying the drift in an stochastic differential equation (SDE) from n$n$ observations of its solution at M+1$M+1$ distinct time points. We derive a corresponding maximum a posteriori (MAP) estimate, we prove differentiability properties as well as a so‐called tangential cone condition for the forward ...
Daniel Tenbrinck +3 more
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