Results 41 to 50 of about 1,611 (185)

On an asymptotic property of a Volterra integral equation [PDF]

Proceedings of the American Mathematical Society, 1971
It is proved that if q ( t −
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Spike Variations for Stochastic Volterra Integral Equations

SIAM Journal on Control and Optimization, 2023
41 ...
Tianxiao Wang, Jiongmin Yong
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Navigating Human Astrocyte Differentiation: Direct and Rapid One‐Step Differentiation of Induced Pluripotent Stem Cells to Functional Astrocytes Supporting Neuronal Network Development

Glia, Volume 74, Issue 9, September 2026.
One‐step protocol enabling direct differentiation of human iPSCs into functional astrocytes within 5 weeks. Validated in > 60 lines across 10 labs. iPSC‐astrocytes support robust neuronal network development in co‐culture. ABSTRACT Astrocytes play a pivotal role in neuronal network development.
Imke M. E. Schuurmans, Annika Mordelt, Marta Guevara‐Ferrer, Katrin Linda, Denise Duineveld, Sofia Puvogel, Marina P. Hommersom, Nicky Scheefhals, Lisa Rahm, Emma Dyke, Gijs‐Jan Scholten, Caroline Knorz, Carlos Gonzalez Jimenez, Noelle van Egmond, Astrid Oudakker, Chantal Bijnagte‐Schoenmaker, Hans van Bokhoven, Wei Wei, Samuel Hofmann, Sabine Jung‐Klawitter, Sandra Mojica‐Perez, Jack Parent, Lidia Carotenuto, Sarah Weckhuysen, Nadine Maas, Ype Elgersma, Eline van de Ven, Dirk Lefeber, Anita Lygeroudi, Helga E. de Vries, Luc Jordi, Magdalini Polymenidou, Teresa Mitchell‐Garcia, Iulia Dragan, Amalia Dolga, Lot D. de Witte, Clara D. M. van Karnebeek, James Ellis, Alejandro Garanto, Nael Nadif Kasri   +39 more
wiley   +1 more source

Volterra integral equations: the singular case

Hokkaido Mathematical Journal, 2003
The authors are concerned with the investigation of singular Volterra integral equations of the form \[ y(t)= \int^t_0 k(t, s) f(s,y(s))\,ds,\quad t\in [0,T]. \] The singularity feature appears in the nonlinearity \(f(t,y)\), which may admit a nonregular behavior at \(y= 0\).
AGARWAL, Ravi P., O'REGAN, Donal
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Finite‐Block Polynomial and Volterra Structure in Reservoir Computing

Numerical Linear Algebra with Applications, Volume 33, Issue 4, August 2026.
ABSTRACT Reservoir computing is analyzed through the algebraic structure generated by finite‐width reservoirs on fixed input blocks. For linear and quadratic logistic activations, the induced input‐to‐state map admits an exact finite Volterra representation, yielding an explicit characterization of the associated hypothesis class.
Alfio Borzì
wiley   +1 more source

A novel approach to nonlinear fractional volterra integral equations

Acta Polytechnica
Nonlinear Fractional Volterra integral equations (FVIEs) of the first kind present challenges due to their intricate nature, combining fractional calculus and integral equations.
Mohammed Abdulshareef Hussein, Hassan Kamil Jassim   +1 more
doaj   +1 more source

Some new retarded nonlinear Volterra-Fredholm type integral inequalities with maxima in two variables and their applications

Journal of Inequalities and Applications, 2017
In this paper, we establish some new retarded nonlinear Volterra-Fredholm type integral inequalities with maxima in two independent variables, and we present the applications to research the boundedness of solutions to retarded nonlinear Volterra ...
Run Xu, Xiangting Ma
doaj   +1 more source

Comparing Methods for Measuring Predation: Toward a Quantitative–Informative Indicator of Natural Pest Control

Entomologia Experimentalis et Applicata, Volume 174, Issue 8, Page 801-811, August 2026.
Predation methods vary widely in their ability to quantify biological control. Estimating predation rates (the number of prey killed per predator per time unit) is crucial. Combining predation rates with predator abundance yields real‐time field estimates of pests consumed.
Yann Tricault, Abel Masson, Sylvain Poggi, Elsa Canard, Manuel Plantegenest   +4 more
wiley   +1 more source

On multidimensional integral equations of Volterra type [PDF]

Pacific Journal of Mathematics, 1972
http://deepblue.lib.umich.edu/bitstream/2027.42/7837/5/bad2439.0001.001.pdf ; http://deepblue.lib.umich.edu/bitstream/2027.42/7837/4/bad2439.0001.001 ...
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Coexistence of poorer competitors for all available resources requires greater niche overlap

Ecosphere, Volume 17, Issue 7, July 2026.
Abstract The need for niche differentiation among resource competitors to coexist is a universally accepted principle in ecology. However, this principle is derived from models with one or two resources or no resource dynamics at all. Graphical analysis of a consumer‐resource model including three resources shows that a consumer that is not the best ...
Mark A. McPeek
wiley   +1 more source