Results 61 to 70 of about 1,156,539 (216)

On the Complex Inversion Formula and Admissibility for a Class of Volterra Systems

International Journal of Differential Equations, 2014
This paper studies Volterra integral evolution equations of convolution type from the point of view of complex inversion formula and the admissibility in the Salamon-Weiss sens.
Ahmed Fadili, Hamid Bounit
doaj   +1 more source

An approach of extrapolation methods for the solution of nonlinear Volterra–Fredholm integral equations of the second kind [PDF]

Iranian Journal of Numerical Analysis and Optimization
This study presents the process of using extrapolation methods to solve the nonlinear Volterra–Fredholm integral equations of the second kind. To do this, by approximating the integral terms contained in equations by a quadrature rule, the nonlinear ...
H. Safdari, M. Moradkhani, M.T. Dastjerdi   +2 more
doaj   +1 more source

Nucleus Accumbens and Ventral Tegmental Area Functional Connectivity as a Marker of Reward Sensitivity in Infancy

Developmental Science, Volume 29, Issue 6, November 2026.
ABSTRACT Early functional connectivity within the brain's reward circuitry may provide insight into the developmental origins of individual differences in pleasure and motivation. This study examined resting‐state functional connectivity between two key reward‐related regions, the nucleus accumbens (NAc) and ventral tegmental area (VTA), in 94 one ...
Megan M. Hare, Yanbin Niu, Charles H. Zeanah, Kathryn L. Humphreys   +3 more
wiley   +1 more source

UniNS: A Neuro‐Symbolic Framework for Structure‐Regularized Causal Modeling of Catalytic Nanorobot Swarms in Confined Tumor Microenvironments

Applied Research, Volume 5, Issue 5, October 2026.
UniNS is a hybrid neuro‐symbolic framework that simulates nanoscale swarms in tumor microenvironments by coupling mesoscopic hydrodynamics with structure‐regularized causal discovery. It reduces biochemical prediction errors by 27.3% and dynamically prevents spurious correlations, offering a scalable, thermodynamically consistent testbed for precision ...
Xinyuan Chen, Nurdatillah Hasim, Norliana Muslim, Mohd Nizam Husen   +3 more
wiley   +1 more source

Cordial Volterra Integral Equations and Singular Fractional Integro-Differential Equations in Spaces of Analytic Functions∗

Mathematical Modelling and Analysis, 2017
We study general cordial Volterra integral equations of the second kind and certain singular fractional integro-differential equation in spaces of analytic functions.
Urve Kangro
doaj   +1 more source

Optimal control of volterra equations with impulses [PDF]

Applied Mathematics and Computation, 2005
We consider an optimal control problem for a system governed by a Volterra integral equation with impulsive terms. The impulses act on both the state and the control; the control consists of switchings at discrete times. The cost functional includes both, an integrated cost rate (continuous part) and switching costs at the discrete impulse times ...
S. A. Belbas, Werner H. Schmidt
openaire   +3 more sources

Advances in causal discovery methods for ecological time series

Biological Reviews, Volume 101, Issue 5, Page 2313-2336, October 2026.
ABSTRACT Recent advances in data collection technologies (e.g. automated sensor networks, satellite remote sensing, and high‐throughput sequencing) have greatly expanded the availability of ecological time series, enabling new opportunities for causal analyses in dynamic ecosystems.
Kenta Suzuki, Masato Yamamichi, Yutaka Osada, Masayuki Ushio, Kohei Nakajima, Hiroshi Masuya, Shohei Shimizu   +6 more
wiley   +1 more source

Some Solutions of Hilfer Fractional Volterra Integral Equations by Using Pathway-Type Transform

International Journal of Mathematics and Mathematical Sciences
The Pathway-type Pε-transform technique has been introduced as a versatile binomial transform encompassing various classes, including the classical Laplace transform.
Faten H. Damag, Mohammad Alshammari, Amin Saif, Mohammed S. Alsharafi, Adem Kilicman   +4 more
doaj   +1 more source

Boundedness and Asymptotic Stability for the Solution of Homogeneous Volterra Discrete Equations

Discrete Dynamics in Nature and Society, 2018
We consider homogeneous linear Volterra Discrete Equations and we study the asymptotic behaviour of their solutions under hypothesis on the sign of the coefficients and of the first- and second-order differences.
E. Messina, A. Vecchio
doaj   +1 more source

Linear Operators and Equations with Partial Integrals

Современная математика: Фундаментальные направления, 2019
We consider linear operators and equations with partial integrals in Banach ideal spaces, spaces of vector functions, and spaces of continuous functions. We study the action, regularity, duality, algebras, Fredholm properties, invertibility, and spectral
A S Kalitvin, V A Kalitvin
doaj   +1 more source