Results 81 to 90 of about 37,785 (206)

New generalizations for Gronwall type inequalities involving a $ \psi $-fractional operator and their applications

AIMS Mathematics, 2021
Dans cet article, nous fournissons de nouvelles généralisations pour l'inégalité de Gronwall en termes d'opérateur fractionnaire $ \psi $ . Les nouvelles formes d'inégalité de Gronwall sont obtenues au sein d'une plate-forme générale qui inclut plusieurs résultats existants en tant que cas particuliers.
Jehad Alzabut, Yassine Adjabi, Weerawat Sudsutad, Mutti-Ur Rehman   +3 more
openaire   +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, Luca Di Persio, Francesco Guida, Sara Svaluto‐Ferro   +3 more
wiley   +1 more source

Ulam–Hyers–Mittag-Leffler stability for ψ-Hilfer fractional-order delay differential equations

Advances in Difference Equations, 2019
In this paper, we present results on the existence, uniqueness, and Ulam–Hyers–Mittag-Leffler stability of solutions to a class of ψ-Hilfer fractional-order delay differential equations.
Kui Liu, JinRong Wang, Donal O’Regan
doaj   +1 more source

Global well-posedness for the KP-I equation on the background of a non localized solution

, 2006
We prove that the Cauchy problem for the KP-I equation is globally well-posed for initial data which are localized perturbations (of arbitrary size) of a non-localized (i.e. not decaying in all directions) traveling wave solution (e.g.
A.A. Zaitsev, A.S. Fokas, A.S. Fokas, C. Gallo, C. Kenig, C. Kenig, C. Kenig, C.E. Kenig, C.E. Kenig, H. Koch, H. Takaoka, H. Takaoka, J. Bourgain, J. C. Saut, J. Kato, J.-L. Lions, J.C. Alexander, J.C. Saut, L. Molinet, L. Molinet, L. Molinet, L. Molinet, M. Haragus, M. Tajeri, M.D. Groves, M.Jr. Schwarz, M.V. Wickerhauser, N. Burq, N. Tzvetkov, N. Tzvetkov, N.C. Freeman, O. Besov, P. Isaza, R.J. Iório Jr, T. Kato, V. Zakharov, V.E. Zakharov, X. Zhou   +37 more
core   +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, Ting Fung Ma, Ian McGahan, Daniel Walsh, Jun Zhu   +4 more
wiley   +1 more source

Local null controllability of the control-affine nonlinear systems with time-varying disturbances. Direct calculation of the null controllable region

, 2017
The problem of local null controllability for the control-affine nonlinear systems $\dot x(t)=f(x(t))+Bu(t)+w(t),$ $t\in[0,T]$ is considered in this paper.
Vrabel, Robert
core   +1 more source

On goodness‐of‐fit testing for self‐exciting point processes

Scandinavian Journal of Statistics, Volume 53, Issue 1, Page 102-139, March 2026.
Abstract Despite the wide usage of parametric point processes in theory and applications, a sound goodness‐of‐fit procedure to test whether a given parametric model is appropriate for data coming from a self‐exciting point process has been missing in the literature.
José Carlos Fontanesi Kling, Mathias Vetter   +1 more
wiley   +1 more source

An Asymptotic Behavior Property of High-Order Nonlinear Dynamic Equations on Time Scales

Axioms
In this work, by using one dynamic Gronwall–Bihari-type integral inequality on time scales, an interesting asymptotic behavior property of high-order nonlinear dynamic equations on time scales was obtained, which also generalized two classical results ...
Yuan Yuan, Qinghua Ma
doaj   +1 more source

Interior Estimates for Generalized Forchheimer Flows of Slightly Compressible Fluids [PDF]

, 2014
The generalized Forchheimer flows are studied for slightly compressible fluids in porous media with time-dependent Dirichlet boundary data for the pressure. No restrictions on the degree of the Forchheimer polynomial are imposed. We derive, for all time,
Hoang, Luan T., Kieu, Thinh T.
core  

Generalization of an inequality of Gronwall-Reid

Journal of Approximation Theory, 1989
On donne une nouvelle demonstration de l'inegalite de Gronwall-Reid, qui se prete facilement a une generalisation au cas ou la differentielle de Riemann «dt» est remplacee par une mesure ...
openaire   +1 more source