Results 101 to 110 of about 37,785 (206)

On some new discrete generalizations of Gronwall's inequality

Journal of Mathematical Analysis and Applications, 1988
The main result of the paper (Theorem 3) concerns a linear discrete inequality of the type \[ (*)\quad x(n)\leq p(n)+\sum^{q}_{j=1}\sum^{r_ j}_{i=1}J_ i^{(j)}(n,x)\quad (:=p(n)+A(x)),\quad n\in N, \] where \[ J_ i^{(j)}(n,x)=\sum^{n- 1}_{s_ 1=n_ 0}f_{i1}^{(j)}(n,s_ 1)...\sum^{s_{j-1}- 1}_{s_ j=n_ 0}f_{ij}^{(j)}(s_{j-1},s_ j)x(s_ j), \] all the ...
openaire   +2 more sources

Window Impulsive Consensus of Time‐Varying Multi‐Agent Systems Under Deception Attacks on Time Scales

IET Control Theory &Applications, Volume 20, Issue 1, January/December 2026.
This paper investigates the security consensus of time‐varying multi‐agent systems (MASs) on time scales, introducing Bernoulli‐distributed random variables to model node attacks and their probabilities. By proposing a control method combining data sampling and time‐varying window impulses, it relaxes fixed impulsive timing constraints, reduces ...
Boling Zhou, Yongqing Yang, Qi Chang, Yu Jiao, Rixu Hao, Haifei Zhang, Yangling Wang   +6 more
wiley   +1 more source

Alexseev–Gröbner Formula and Asymptotic Phase‐Locking of Kuramoto Ensembles With Inertia and Frustration

Studies in Applied Mathematics, Volume 156, Issue 1, January 2026.
ABSTRACT We study asymptotic dynamics of Kuramoto oscillators with inertia and frustration using the classical perturbation theory of ordinary differential equation systems. Frustration also known as the phase‐lag poses challenges for the mathematical analysis of asymptotic dynamics due to the breakdown of total phase conservation and the gradient ...
Hangjun Cho, Jiu‐Gang Dong, Seung‐Yeal Ha   +2 more
wiley   +1 more source

Complex Dynamics of Ecoepidemiological Model of Fear‐Induced Infected Prey and Predator

Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.
Ecoepidemiology is a discipline within biomathematics that investigates and analyzes the dynamics of infectious disease transmission, emphasizing on the interactions among species and tackling both ecological and epidemiological issues. For many years, a multitude of studies has concentrated on exploring the effects of disease in predator–prey dynamics.
Bhagya laxmi Koyada, Shiva Reddy Konda, Geremew Kenassa Edessa, Manzoor Hussain   +3 more
wiley   +1 more source

Preventing blow up by convective terms in dissipative PDEs

, 2015
We study the impact of the convective terms on the global solvability or finite time blow up of solutions of dissipative PDEs. We consider the model examples of 1D Burger's type equations, convective Cahn-Hilliard equation, generalized Kuramoto ...
Bilgen, Bilgesu, Kalantarov, Varga, Zelik, Sergey   +2 more
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Expected value, to a point: Moral decision‐making under background uncertainty

Noûs, Volume 59, Issue 4, Page 1093-1125, December 2025.
Abstract Expected value maximization gives plausible guidance for moral decision‐making under uncertainty in many situations. But it has unappetizing implications in ‘Pascalian’ situations involving tiny probabilities of extreme outcomes. This paper shows, first, that under realistic levels of ‘background uncertainty’ about sources of value independent
Christian Tarsney
wiley   +1 more source

Numerical and Analytical Investigation of the Ablowitz–Ladik and Salerno Models: Closeness to Cubic and Cubic‐Quintic Discrete Nonlinear Schrödinger Lattices

Studies in Applied Mathematics, Volume 155, Issue 6, December 2025.
ABSTRACT We study the closeness between the Ablowitz–Ladik, Salerno, and discrete nonlinear Schrödinger lattices in regimes of small coupling ε$\varepsilon$ and small energy norm ρ$\rho$. Two approaches are compared: direct estimates in physical variables and a transformation to canonical symplectic coordinates via Darboux variables.
Marco Calabrese, Tiziano Penati, Simone Paleari   +2 more
wiley   +1 more source

Uniqueness and Novel Finite-Time Stability of Solutions for a Class of Nonlinear Fractional Delay Difference Systems

Discrete Dynamics in Nature and Society, 2018
This paper focuses on the uniqueness and novel finite-time stability of solutions for a kind of fractional-order nonlinear difference equations with time-varying delays. Under some new criteria and by applying the generalized Gronwall inequality, the new
Danfeng Luo, Zhiguo Luo
doaj   +1 more source

Nonparametric inference for Poisson‐Laguerre tessellations

Scandinavian Journal of Statistics, Volume 52, Issue 4, Page 1816-1851, December 2025.
Abstract In this paper, we consider statistical inference for Poisson‐Laguerre tessellations in ℝd$$ {\mathbb{R}}^d $$. The object of interest is a distribution function F$$ F $$ which describes the distribution of the arrival times of the generator points.
Thomas van der Jagt, Geurt Jongbloed, Martina Vittorietti   +2 more
wiley   +1 more source

Determining Projections and Functionals for Weak Solutions of the Navier-Stokes Equations

, 2010
In this paper we prove that an operator which projects weak solutions of the two- or three-dimensional Navier-Stokes equations onto a finite-dimensional space is determining if it annihilates the difference of two "nearby" weak solutions asymptotically ...
Holst, Michael, Titi, Edriss
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