Results 71 to 80 of about 606,903 (214)

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

Sharp commutator estimates of all order for Coulomb and Riesz modulated energies

Communications on Pure and Applied Mathematics, Volume 79, Issue 2, Page 207-292, February 2026.
Abstract We prove functional inequalities in any dimension controlling the iterated derivatives along a transport of the Coulomb or super‐Coulomb Riesz modulated energy in terms of the modulated energy itself. This modulated energy was introduced by the second author and collaborators in the study of mean‐field limits and statistical mechanics of ...
Matthew Rosenzweig, Sylvia Serfaty
wiley   +1 more source

Certain Nonlinear Integral Inequalities and Their Applications

Discrete Dynamics in Nature and Society, 2017
Several new retarded integral inequalities of Gronwall-Bellman-Pachpatte type are presented which generalize the inequalities to the more general nonlinear case in the literature and provide explicit bounds on unknown functions.
Yazhou Tian, Min Fan, Yuangong Sun
doaj   +1 more source

Discrete Fractional Inequalities Pertaining a Fractional Sum Operator with Some Applications on Time Scales

Journal of Function Spaces, 2021
This content replicates some discrete nonlinear fractional inequalities by virtue of the fractional sum operator Ψ¯ on time scales. Through the recognition of the principle of discrete fractional calculus, we are able to recover the precise estimates for
Zareen A. Khan, Kamal Shah
doaj   +1 more source

Averaging of equations of viscoelasticity with singularly oscillating external forces

, 2016
Given $\rho\in[0,1]$, we consider for $\varepsilon\in(0,1]$ the nonautonomous viscoelastic equation with a singularly oscillating external force $$ \partial_{tt} u-\kappa(0)\Delta u - \int_0^\infty \kappa'(s)\Delta u(t-s) d s +f(u)=g_{0}(t)+\varepsilon ^{
Chepyzhov, Vladimir V., Conti, Monica, Pata, Vittorino   +2 more
core   +1 more source

Attractors and upper semicontinuity for an extensible beam with nonlocal structural damping

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Volume 106, Issue 2, February 2026.
Abstract We analyze the asymptotic behavior of a class of extensible beam models governed by a nonlocal structural damping mechanism of the form φ(El)(−Δ)βut$\varphi (E_l)(-\Delta)^{\beta }u_t$, where β∈λ=(0,1]$\beta \in \lambda =(0,1]$. The coefficient φ$\varphi$ is a degenerate C1$C^{1}$‐function depending on the linear energy El$E_l$ of the system ...
Zayd Hajjej, Yanan Li, Vando Narciso, Yue Sun   +3 more
wiley   +1 more source

New Integral Inequalities for Iterated Integrals with Applications

Journal of Inequalities and Applications, 2007
Some new nonlinear retarded integral inequalities of Gronwall type are established. These inequalities can be used as basic tools in the study of certain classes of integrodifferential equations.
Ryoo Cheon Seoung, Kim Young-Ho, Agarwal Ravi P   +2 more
doaj  

A Nonlinear Generalizations of Dynamic Inequalities on Time Scales

Ratio Mathematica
Considering the distinctive generalization of the Gronwall-Bellman inequality, in this paper we innovates new dynamical inequalities on time scale. These inequalities will be acted a profound tools for studying qualitative properties such as uniqueness ...
Vikas Sopan Jadhav, Asma Kazi, Sitaram G. Latpate, Vandana S. Ghodke   +3 more
doaj   +1 more source

Henry-Gronwall Integral Inequalities with “Maxima” and Their Applications to Fractional Differential Equations

Abstract and Applied Analysis, 2014
Some new weakly singular Henry-Gronwall type integral inequalities with “maxima” are established in this paper. Applications to Caputo fractional differential equations with “maxima” are also presented.
Phollakrit Thiramanus, Jessada Tariboon, Sotiris K. Ntouyas   +2 more
doaj   +1 more source

Well‐Posedness and Pattern Formation in a Two‐Species Reaction–Diffusion System with Nonlocal Perception

Studies in Applied Mathematics, Volume 156, Issue 2, February 2026.
ABSTRACT Nonlocal perceptual cues, such as visual, auditory, and olfactory signals, profoundly influence animal movement and the emergence of ecological patterns. To capture these effects, we introduce a two‐species reaction–diffusion system with mutual nonlocal perception on a two‐dimensional periodic domain.
Yaqi Chen, Ben Niu, Hao Wang
wiley   +1 more source