Results 71 to 80 of about 148,162,886 (209)

On the Existence of Solutions of Dynamic Equations on Time Scales in Banach Spaces

Mathematical Methods in the Applied Sciences, Volume 49, Issue 13, Page 15358-15384, 15 September 2026.
ABSTRACT In this paper we address the question of solvability of dynamic equations on time scales in Banach spaces. In particular, our main theorem extends the result for classical differential equations in Banach spaces of Banaś and Goebel established in [5], to an arbitrary time scale.
Dušan Oberta
wiley   +1 more source

Slope Aspect Modulates Alpine Meadow Spatial Homogeneity Through Niche Differences, Not Fitness Differences

Ecology and Evolution, Volume 16, Issue 9, September 2026.
This study examines the role of slope aspect in mediating the spatial homogeneity of alpine meadow communities on the Qinghai‐Tibetan Plateau through the lens of modern coexistence theory. We found that slope aspect strongly mediated community homogeneity by altering niche differences, but not fitness differences, with this effect being significant ...
Xiaotong Gong, Buqing Yao, Yongxiao Li, Li Ma, Renqianjie Shan, Ping Yang, Huiling Zhang, Xin Li, Yaoqing Wang, Dengshan Zhang, Huakun Zhou, Fangping Wang   +11 more
wiley   +1 more source

Product integration for Volterra integral equations of the second kind with weakly singular kernels [PDF]

Mathematics of Computation, 1996
We introduce a new numerical approach for solving Volterra integral equations of the second kind when the kernel contains a mild singularity. We give a convergence result. We also present numerical examples which show the performance and efficiency of our method.
openaire   +3 more sources

On a pseudo-Volterra nonhomogeneous integral equation

Қарағанды университетінің хабаршысы. Математика сериясы, 2019
In this paper the issues of the solvability of a pseudo-Volterra nonhomogeneous integral equation of the second kind are studied. The solution to the corresponding homogeneous equation and the classes of the uniqueness of the solution are found in [1 ...
M.T. Kosmakova, D.M. Akhmanova, Zh.M. Tuleutaeva, L.Zh. Kasymova   +3 more
doaj   +1 more source

Biorthogonal systems for solving Volterra integral equation systems of the second kind

Journal of Computational and Applied Mathematics, 2011
The authors generalizes the iterative method to solve the system of Volterra integral equations of the second kind \[ X(t)=Y_{0}(t)+\int_{0}^{t}K(x,s,X(s))ds,\qquad t\in[\alpha,\alpha+\beta], \] where \(X(t)\in\mathbb R^{n}\). The Lipschitz condition assumed for \(K\) and a fixed point theorem allow to establish the existence of a unique solution.
Maria Isabel Berenguer, Domingo Gámez, A. I. Garralda Guillem, Manuel Ruiz Galán, M. C. Serrano-Pérez   +4 more
openaire   +2 more sources

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

Two-side methods for the solution nonlinear second kind volterra integral equations [PDF]

, 2008
Виведено двосторонні розрахункові формули першого та другого порядку точності розв’язання нелінійних інтегральних рівнянь Вольтерри другого роду. Ці формули дозволяють у кожній вузловій точці отримувати не тільки верхні та нижні наближення до точного ...
Пелех, Р., Pelekh, R., Лучко, Йосип Йосипович, Luchko, J.   +3 more
core   +1 more source

Analytical Techniques for a Numerical Solution of the Linear Volterra Integral Equation of the Second Kind

Abstract and Applied Analysis, 2009
In this work we use analytical tools—Schauder bases and Geometric Series theorem—in order to develop a new method for the numerical resolution of the linear Volterra integral equation of the second kind.
M. I. Berenguer, D. Gámez, A. I. Garralda-Guillem, M. Ruiz Galán, M. C. Serrano Pérez   +4 more
doaj   +1 more source

Optimal control and multitrophic physiologically‐based models: The binomial for successful decision support systems in insect pest management

Pest Management Science, Volume 82, Issue 9, Page 9285-9292, September 2026.
Decision‐making in integrated pest management (IPM) corresponds to an optimisation problem where the plant–pest dynamics and the control actions are constraints and where the objective function accounts for the costs of the treatments and the total income at the harvest time.
Luca Rossini, Ouassim Benhamouche, Emanuele Garone   +2 more
wiley   +1 more source

Solution of the axismmetric plane thermoelasticity problem for a polar-orthotropic disc of variable thickness in the rotating thermal field by Volterra integral equation of the second kind

Журнал Белорусского государственного университета: Математика, информатика, 2017
With the help of linear Volterra integral equation of the second kind the solution of the axisymmetric plane thermoelasticity problem for a polar-orthotropic disk of variable thickness in the rotating thermal field is generally given.
Uladzimir V. Karalevich, Dmitrij G. Medvedev   +1 more
doaj