Results 71 to 80 of about 610,482 (163)
Mathematical analysis of a one-dimensional model for an aging fluid
, 2012 We study mathematically a system of partial differential equations arising in the modelling of an aging fluid, a particular class of non Newtonian fluids.
Benoit, David +3 more
core +3 more sources
Measure‐valued processes for energy markets
Mathematical Finance, Volume 35, Issue 2, Page 520-566, April 2025.Abstract We introduce a framework that allows to employ (non‐negative) measure‐valued processes for energy market modeling, in particular for electricity and gas futures. Interpreting the process' spatial structure as time to maturity, we show how the Heath–Jarrow–Morton approach can be translated to this framework, thus guaranteeing arbitrage free ...
Christa Cuchiero +3 more
wiley +1 more source
On an integral inequality in N-independent variables
International Journal of Mathematics and Mathematical Sciences, 1984 We present a new non-linear integral inequality of the Gronwall-Bellman-Bihari type in n-independent variables with application to pointwise estimates of solutions of a certain class of non-linear hyperbolic partial differential equation.
Olusola Akinyele
doaj +1 more source
, 2018 In this paper, we state and prove a new discrete fractional version of the generalized Gronwall inequality. Based on this, a particular version expressed by means of discrete Mittag–Lefler functions is provided.
J. Alzabut, T. Abdeljawad
semanticscholar +1 more source
PAMM, Volume 26, Issue 1, March 2026.ABSTRACT Regularity properties of solutions for a class of quasi‐stationary models in one spatial dimension for stress‐modulated growth in the presence of a nutrient field are proven. At a given point in time the configuration of a body after pure growth is determined by means of a family of ordinary differential equations in every point in space ...
Julian Blawid, Georg Dolzmann
wiley +1 more source
Caputo gH-differentiability for Gronwalls inequality: insight, new results and application
Journal of Inequalities and ApplicationsThis 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 +5 more
doaj +1 more source
Generalizations of Gronwall–Bihari inequalities on time scales [PDF]
Journal of Difference Equations and Applications, 2009 This is a preprint of an article accepted (16/May/2008) for publication in the "Journal of Difference Equations and Applications"; J. Difference Equ. Appl.
Ferreira, R.A.C., Torres, D.F.M.
openaire +3 more sources
A Generalization Error Bound of Physics‐Informed Neural Networks for Ecological Diffusion Models
Stat, Volume 15, Issue 1, March 2026.ABSTRACT Ecological diffusion equations (EDEs) are partial differential equations (PDEs) that model spatiotemporal dynamics, often applied to wildlife diseases. Derived from ecological mechanisms, EDEs are useful for forecasting, inference, and decision‐making, such as guiding surveillance strategies for wildlife diseases.
Juan Francisco Mandujano Reyes +4 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
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