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Noether's symmetry and conserved quantity for a time-delayed Hamiltonian system of Herglotz type [PDF]
Royal Society Open Science, 2018 The variational problem of Herglotz type and Noether's theorem for a time-delayed Hamiltonian system are studied. Firstly, the variational problem of Herglotz type with time delay in phase space is proposed, and the Hamilton canonical equations with time
Yi Zhang
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BroadBand-Adaptive VMD with Flattest Response
Mathematics, 2023 A mixed signal with several unknown modes is common in the industry and is hard to decompose. Variational Mode Decomposition (VMD) was proposed to decompose a signal into several amplitude-modulated modes in 2014, which overcame the limitations of ...
Xizhong Shen, Ran Li
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SOME PROPERTIES OF THE VARIATIONAL PROBLEMS OF OPTIMAL CONTROL OF CONSUMPTION
Статистика и экономика, 2016 ARTICLE RETRACTEDIn this paper we study the General patterns of models based on variational methods in various problems of optimal control of consumption: decisionmaking in the management of the household, as well as models of the economic dynamics of ...
Alla Yu. Meyerson +1 more
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Triangulation Method for Approximate Solving of Variational Problems in Nonlinear Elasticity
Известия Иркутского государственного университета: Серия "Математика", 2023 A variational problem for the minimum of the stored energy functional is considered in the framework of the nonlinear theory of elasticity, taking into account admissible deformations.
V. A. Klyachin +2 more
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On a Variational Problem of Ulam [PDF]
, 2006 Using the concept of well-posedness under perturbations we give an answer to the following question posed by Stanislaw Ulam : “when it is true that solutions of two problems in the calculus of variations which corresponds to “close” physical data must be close to each other?”(“A collection of mathematical problems”, 1960).
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An Optimal Control Problem Governed by a Kirchhoff-Type Variational Inequality
Journal of Applied Mathematics, 2020 This paper is concerned with an optimal control problem governed by a Kirchhoff-type variational inequality. The existence of multiplicity solutions for the Kirchhoff-type variational inequality is established by using some nonlinear analysis techniques ...
Chengfu Wang, Pengcheng Wu, Yuying Zhou
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On the equivalence of variational problems. III [PDF]
Czechoslovak Mathematical Journal, 1992 The paper follows a previous one by the same author on the equivalence of two variational problems with differential constraints [J. Differ. Equations 98, No. 1, 76-90 (1992; Zbl 0764.49008)]. More precisely, it deals with problems of the type: to find the optimal solutions of an integral functional \[ \int f \bigl( x,y(x), y_ 1(x), \dots, y_ n(x ...
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Mathematics, 2018 In this paper, λ -harmonic maps from a Finsler manifold to a Riemannian manifold are studied. Then, some properties of this kind of harmonic maps are presented and some examples are given.
Zahra Pirbodaghi +2 more
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Is variation in biological variation a problem? [PDF]
Annals of Clinical Biochemistry: International Journal of Laboratory Medicine, 2007 nent of the total variation (CVT) and can be considered in terms of intra-individual (BVI) and inter-individual (BVG) variation. For a given individual the BVI can be determined from the total variation (CVT) and the analytical variation (CVA). Since the CVA can be readily calculated for most analytes the BVI can be readily determined.
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A Morse inequality for a fourth order elliptic equation on a bounded domain
Electronic Journal of Qualitative Theory of Differential Equations, 2019 This article deals with the existence of multiple solutions of a fourth order elliptic equation with a critical nonlinearity on a bounded domain of $\mathbb{R}^n, n\geq 5$.
Khadijah Sharaf, Hichem Hajaiej
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