Results 81 to 90 of about 15,258,586 (276)
Well-Posedness of MultiCriteria Network Equilibrium Problem
Abstract and Applied Analysis, 2014 New notions of ϵ-equilibrium flow and ξk0-ϵ-equilibrium flow of multicriteria network equilibrium problem are introduced; an equivalent relation between vector ϵ-equilibrium pattern flow and ξk0-ϵ-equilibrium flow is established. Then, the well-posedness
W. Y. Zhang
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On the well-posedness of differential quasi-variational-hemivariational inequalities
Open Mathematics, 2020 The goal of this paper is to discuss the well-posedness and the generalized well-posedness of a new kind of differential quasi-variational-hemivariational inequality (DQHVI) in Hilbert spaces.
Cen Jinxia +3 more
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Dynamic Optimal Transport with Optimal Star‐Shaped Graphs
PAMM, Volume 26, Issue 1, March 2026.ABSTRACT We study an optimal transport problem in a compact convex set Ω⊂Rd$\Omega \subset \mathbb {R}^d$ where bulk transport is coupled to dynamic optimal transport on a metric graph G=(V,E,l)$ \mathsf {G}= (\mathsf {V},\mathsf {E},l)$ which is embedded in Ω$\Omega$. We prove the existence of solutions for fixed graphs.
Marcello Carioni +2 more
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Accelerated Diffusion Basis Spectrum Imaging With Tensor Computations
Human Brain Mapping, Volume 47, Issue 2, February 1, 2026.We introduce a new framework for accelerated processing of diffusion‐weighted imaging (DWI) data using a machine learning approach to optimize parameter estimation. We demonstrate that this new method, called DBSIpy, significantly improves computational speed and robustness to Rician noise compared to the standard DBSI method, with the improvements ...
Kainen L. Utt +3 more
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Local well-posedness in Lovelock gravity [PDF]
Classical and Quantum Gravity, 2014 It has long been known that Lovelock gravity, being of Cauchy-Kowalevskaya type, admits a well defined initial value problem for analytic data. However, this does not address the physically important issues of continuous dependence of the solution on the data and the domain of dependence property.
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Abstract Boundary Delay Systems and Application to Network Flow
Mathematical Methods in the Applied Sciences, Volume 49, Issue 1, Page 119-129, 15 January 2026.ABSTRACT This paper investigates the well‐posedness and positivity of solutions to a class of delayed transport equations on a network. The material flow is delayed at the vertices and along the edges. The problem is reformulated as an abstract boundary delay equation, and well‐posedness is proved by using the Staffans–Weiss theory.
András Bátkai +2 more
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International Journal for Numerical Methods in Engineering, Volume 127, Issue 1, 15 January 2026.ABSTRACT Steering a system towards a desired target in a very short amount of time is a challenging task from a computational standpoint. Indeed, the intrinsically iterative nature of optimal control problems requires multiple simulations of the state of the physical system to be controlled. Moreover, the control action needs to be updated whenever the
Matteo Tomasetto +2 more
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Well-Posedness of History-Dependent Sweeping Processes
SIAM Journal on Mathematical Analysis, 2019 This paper is devoted to the study of a class of sweeping processes with history-dependent operators.
S. Migórski, M. Sofonea, Shengda Zeng
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Well-posedness and sliding mode control [PDF]
ESAIM: Control, Optimisation and Calculus of Variations, 2005 Summary: Sliding mode control of ordinary differential equations is considered. A key robustness property, called approximability, is studied from an optimization point of view. It is proved that Tikhonov well-posedness of a suitably defined optimization problem is intimately related to approximability.
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A well-posedness result for an extended KdV equation
Partial Differential Equations in Applied MathematicsAmong the most interesting things Russell discovered was there is a mathematical relation between the height of the wave, the depth of the wave when water at rest and the speed at which the wave travels.
M. Berjawi, T. El Arwadi, S. Israwi
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