Results 41 to 50 of about 588 (178)

On Volterra inequalities and their applications

International Journal of Mathematics and Mathematical Sciences, 2004
We present certain variants of two-dimensional and n-dimensional Volterra integral inequalities. In particular, generalizations of the Gronwall inequality are obtained.
Lechosław Hącia
doaj   +1 more source

Equilibrium Reward for Liquidity Providers in Automated Market Makers

Mathematical Finance, EarlyView.
ABSTRACT We find the equilibrium contract that an automated market maker (AMM) offers to their strategic liquidity providers (LPs) in order to maximize the order flow that gets processed by the venue. Our model is formulated as a leader–follower stochastic game, where the venue is the leader and a representative LP is the follower.
Alif Aqsha, Philippe Bergault, Leandro Sánchez‐Betancourt   +2 more
wiley   +1 more source

Linear Control of Fractional-Order Financial Chaotic Systems with Input Saturation

Discrete Dynamics in Nature and Society, 2014
In this paper, control of fractional-order financial chaotic systems with saturated control input is investigated by means of state-feedback control method.
Junhai Luo, Guanjun Li, Heng Liu
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Global well‐posedness and large‐time behavior for non‐isothermal nematic liquid crystal flows with temperature‐dependent viscosity

Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.
Abstract We investigate an initial‐boundary value problem of non‐isothermal nematic liquid crystal flows with temperature‐dependent viscosity in three‐dimensional bounded domains. Based on the time‐weighted energy estimates, we derive the existence of a unique global strong solution under some smallness condition.
Lu Zhang, Xin Zhong
wiley   +1 more source

Caputo gH-differentiability for Gronwalls inequality: insight, new results and application

Journal of Inequalities and Applications
This paper investigates Gronwall’s inequality within the framework of interval-valued functions under Caputo gH-differentiability. Employing interval-valued Caputo fractional derivatives and associated interval-valued Riemann–Liouville integrals, we ...
Fatima Khan, Anum Zehra, Muhammad Farman, Kottakkaran Sooppy Nisar, Aceng Sambas, Mohamed Hafez   +5 more
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A Family of Transformed Difference Schemes for Nonlinear Time-Fractional Equations

Fractal and Fractional, 2023
In this paper, we present a class of finite difference methods for numerically solving fractional differential equations. Such numerical schemes are developed based on the change in variable and piecewise interpolations.
Hongyu Qin, Xiaoli Chen, Boya Zhou
doaj   +1 more source

Stochastic Gradient Descent in High Dimensions for Multi‐Spiked Tensor PCA

Communications on Pure and Applied Mathematics, Volume 79, Issue 10, Page 2291-2369, October 2026.
ABSTRACT We study the high‐dimensional dynamics of online stochastic gradient descent (SGD) for the multi‐spiked tensor model. This multi‐index model arises from the tensor principal component analysis (PCA) problem with multiple spikes, where the goal is to estimate the unknown signal vectors within the N$N$‐dimensional unit sphere through maximum ...
Gérard Ben Arous, Cédric Gerbelot, Vanessa Piccolo   +2 more
wiley   +1 more source

Gronwall-OuIang-Type Integral Inequalities on Time Scales

Journal of Inequalities and Applications, 2010
We present several Gronwall-OuIang-type integral inequalities on time scales. Firstly, an OuIang inequality on time scales is discussed. Then we extend the Gronwall-type inequalities to multiple integrals.
Bohner Martin, Liu Ailian
doaj  

T(w)o Patch or Not T(w)o Patch: A Novel Biocontrol Model

Mathematical Methods in the Applied Sciences, Volume 49, Issue 13, Page 14697-14743, 15 September 2026.
ABSTRACT A number of top‐down biocontrol models have been proposed where the introduced predators' efficacy is enhanced via the provision of additional food (AF). However, if the predator has a pest‐dependent monotone functional response, pest extinction is unattainable. In the current manuscript, we propose a model where a predator with pest‐dependent
Urvashi Verma, Aniket Banerjee, Rana D. Parshad   +2 more
wiley   +1 more source

On integral inequalities of Gronwall-Bellman type [PDF]

Proceedings of the American Mathematical Society, 1985
A sharp bound is given for solutions of an integral inequality of the Gronwall-Bellman type. The bound which is the exact solution of the corresponding integral equation is obtained by reducing the equation to a system of differential equations.
openaire   +1 more source