Results 41 to 50 of about 2,952 (173)
Macroscopic Market Making Games
Mathematical Finance, Volume 36, Issue 2, Page 352-373, April 2026.ABSTRACT Building on the macroscopic market making framework as a control problem, this paper investigates its extension to stochastic games. In the context of price competition, each agent is benchmarked against the best quote offered by the others. We begin with the linear case.
Ivan Guo, Shijia Jin
wiley +1 more source
Hybrid Reaction–Diffusion Epidemic Models: Dynamics and Emergence of Oscillations
Mathematical Methods in the Applied Sciences, Volume 49, Issue 5, Page 4074-4095, 30 March 2026.ABSTRACT In this paper, we construct a hybrid epidemic mathematical model based on a reaction–diffusion system of the SIR (susceptible‐infected‐recovered) type. This model integrates the impact of random factors on the transmission rate of infectious diseases, represented by a probabilistic process acting at discrete time steps.
Asmae Tajani +2 more
wiley +1 more source
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
doaj +1 more source
Well-posedness of boundary control systems [PDF]
2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601), 2003 The authors study the continuity of the input/output map for boundary control systems through the system transfer function transporting the continuity to uniform boundedness of the solution to a related elliptic boundary value problem. The approach is used to obtain well-posedness of several large classes of boundary control systems.
Cheng, Ada, Morris, Kirsten
openaire +3 more sources
Duality for Evolutionary Equations With Applications to Null Controllability
Mathematical Methods in the Applied Sciences, Volume 49, Issue 5, Page 4144-4166, 30 March 2026.ABSTRACT We study evolutionary equations in exponentially weighted L2$$ {\mathrm{L}}^2 $$‐spaces as introduced by Picard in 2009. First, for a given evolutionary equation, we explicitly describe the ν$$ \nu $$‐adjoint system, which turns out to describe a system backwards in time. We prove well‐posedness for the ν$$ \nu $$‐adjoint system. We then apply
Andreas Buchinger, Christian Seifert
wiley +1 more source
On well-posedness of generalized equilibrium problems involving -monotone bifunction [PDF]
Journal of Hyperstructures, 2016 The aim of this paper is to establish some uniqueness and well-posedness results for a general inequality of equilibrium problems type involving -monotone bifunction, whose solution is sought in a subset K of a Banach space X.
AYED HASHOOSH, M. Alimohammady
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On the Mean‐Field Limit of Consensus‐Based Methods
Mathematical Methods in the Applied Sciences, Volume 49, Issue 5, Page 4214-4240, 30 March 2026.ABSTRACT Consensus‐based optimization (CBO) employs a swarm of particles evolving as a system of stochastic differential equations (SDEs). Recently, it has been adapted to yield a derivative free sampling method referred to as consensus‐based sampling (CBS). In this paper, we investigate the “mean‐field limit” of a class of consensus methods, including
Marvin Koß, Simon Weissmann, Jakob Zech
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Remark on well-posedness and ill-posedness for the KdV equation
Electronic Journal of Differential Equations, 2010 We consider the Cauchy problem for the KdV equation with low regularity initial data given in the space $H^{s,a}(mathbb{R})$, which is defined by the norm $$ | varphi |_{H^{s,a}}=| langle xi angle^{s-a} |xi|^a widehat{varphi} |_{L_{xi}^2}.
Takamori Kato
doaj
Generalized Well-Posedness for Symmetric Vector Quasi-Equilibrium Problems
Journal of Applied Mathematics, 2015 We introduce and study well-posedness in connection with the symmetric vector quasi-equilibrium problem, which unifies its Hadamard and Levitin-Polyak well-posedness.
Wei-bing Zhang +2 more
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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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