Results 31 to 40 of about 7,875,654 (350)
Herglotz type conservation laws for nonconservative nonholonomic systems
AIP Advances, 2023 The Herglotz variational principle offers an effective method for studying nonconservative system dynamics. The aim of this paper is to study the conservation laws of nonholonomic systems by using the Herglotz type generalized variational principle and ...
Xinchang Dong, Yi Zhang
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Results in Control and Optimization, 2022 In this paper, we consider a class of set-valued implicit quasi-variational inequalities in real Banach spaces and show its equivalence with a class of fixed point equations and a class of Wiener–Hopf equations.
Mudasir A. Malik +2 more
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Fractional variational problems with the Riesz-Caputo derivative [PDF]
, 2012 In this paper we investigate optimality conditions for fractional variational problems, with a Lagrangian depending on the Riesz-Caputo derivative. First we prove a generalized Euler-Lagrange equation for the case when the interval of integration of the ...
Almeida, R. +2 more
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Journal of Applied Mathematics, 2012 Very recently, Ahmad and Yao (2009) introduced and considered a system of generalized resolvent equations with corresponding system of variational inclusions in uniformly smooth Banach spaces.
Lu-Chuan Ceng, Ching-Feng Wen
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Degenerate-elliptic operators in mathematical finance and higher-order regularity for solutions to variational equations [PDF]
Advances in Differential Equations, 2012 We establish higher-order weighted Sobolev and Holder regularity for solutions to variational equations defined by the elliptic Heston operator, a linear second-order degenerate-elliptic operator arising in mathematical finance.
P. Feehan, C. Pop
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Variations on the Brocard–Ramanujan equation
Journal of Number Theory, 2013 In [\textit{Paul} and \textit{Maréchal}, Nouv. Ann. (2) 15, 286--287 (1876; JFM 08.0330.01)] and [\textit{H. Brocard}, Nouv. Ann. Math. (3) 4, 291 (1885)], the following problem was posed: \textit{Pour quelles valeurs du nombre entier \(x\) l'expression} \[ 1\cdot 2\cdot 3\cdot 4\cdots x +1 \] \textit{est-elle un carré parfait?} In 1913, Ramanujan ...
Dąbrowski, Andrzej, Ulas, Maciej
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A posteriori error covariances in variational data assimilation [PDF]
, 2009 The problem of variational data assimilation for a nonlinear evolution model is formulated as an optimal control problem to find some unknown parameters of the model.
Le Dimet, F.X. +13 more
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Novel Evaluation of the Fractional Acoustic Wave Model with the Exponential-Decay Kernel
Complexity, 2022 This study employs a newly developed methodology called the variational homotopy perturbation transformation method to study fractional acoustic wave equations. The motivation for this study is to extend the variational homotopy perturbation technique to
Rabab Alyusof +3 more
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Lagrangian description of the variational equations [PDF]
Chaos, Solitons & Fractals, 2003 A variant of the usual Lagrangian scheme is developed which describes both the equations of motion and the variational equations of a system. The required (prolonged) Lagrangian is defined in an extended configuration space comprising both the original configurations of the system and all the virtual displacements joining any two integral curves.
Arizmendi, C. M. +3 more
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Noncommutative variations on Laplace’s equation [PDF]
Analysis & PDE, 2008 As a first step at developing a theory of noncommutative nonlinear elliptic partial differential equations, we analyze noncommutative analogues of Laplace's equation and its variants (some of the them nonlinear) over noncommutative tori. Along the way we prove noncommutative analogues of many results in classical analysis, such as Wiener's Theorem on ...
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