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A Finite Difference Method for Smooth Solution of a System of Linear Volterra Integral Equations [PDF]

مدل‌سازی پیشرفته ریاضی
In this paper, we propose a finite difference numerical method for the smooth solution of a system of linear Volterra integral equations. This method is a generalization of the finite difference method proposed in [11] and [12] for scalar linear Volterra
Mehdi Jalalvand, Mohammad Reza Mokhtarzadeh, Sedigheh Toubaei   +2 more
doaj   +1 more source

Cancer Evolvability Determines Therapy Outcomes

Evolutionary Applications, Volume 19, Issue 10, October 2026.
ABSTRACT Cancer progression following treatment failure is an evolutionary process in which therapy acts as a selection pressure driving Darwinian selection on heritable variation to favor resistant clones. Heritable variation is a key determinant of how rapidly tumors can adapt to therapy.
Ranjini Bhattacharya, Anuraag Bukkuri, Robert A. Gatenby, Joel S. Brown   +3 more
wiley   +1 more source

Hyers–Ulam–Rassias Stability of Nonlinear Implicit Higher-Order Volterra Integrodifferential Equations from above on Unbounded Time Scales

Mathematics
In this paper, we present sufficient conditions for Hyers-Ulam-Rassias stability of nonlinear implicit higher-order Volterra-type integrodifferential equations from above on unbounded time scales.
Andrejs Reinfelds, Shraddha Christian
doaj   +1 more source

Asymptotic analysis of a volterra integral equation

Applied Mathematics Letters, 1988
A Volterra integral equation of the form \(u(t)=\epsilon \int^{t}_{0}[\pi (t-s)]^{-1/2}F(u(s),s)ds\) is considered where \(F(0,t)\sim c_ 0t^{-r_ 0}\) and \(F_ u(0,t)\sim -c_ 1t^{-r_ 1}\) as \(t\to +\infty\) and \(r_ ...
openaire   +2 more sources

Forest Densification and Pollution Rival Climate in Driving US Tree Demographic Change

Global Change Biology, Volume 32, Issue 10, October 2026.
Forests across the contiguous United States are responding to simultaneous changes in climate, atmospheric pollution, and forest density, yet the relative importance of these drivers for tree demographic rates has rarely been compared. Using two decades of nationwide forest inventory data, we quantified the sensitivity of recruitment, growth, and ...
Matthew M. Kling, P. Alexander Burnham, Matthew P. Dube, Brian J. McGill, Bailey P. McLaughlin, Stephanie N. Miller, Timothy M. Waring, Nicholas J. Gotelli   +7 more
wiley   +1 more source

Solvability of Volterra-Stieltjes operator-integral equations and their applications

, 2001
We investigate a class of operator-integral equations of Volterra-Stieltjes type and we study the solvability of those equations in the space of continuous functions. Equations in question create a generalization of numerous integral equations considered
Sadarangani, K., K. Sadarangani, Banaś, J., J. Banaś   +3 more
core   +1 more source

An innovative iterative approach to solving Volterra integral equations of second kind

Acta Polytechnica
Many scientists have shown great interest in exploring the realm of second-kind integral equations, offering many techniques for solving them, including exact, approximate, and numerical methods.
Mohammed Abdulshareef Hussein, Hassan Kamil Jassim, Ali Kareem Jassim   +2 more
doaj   +1 more source

Numerical solution of nonlinear stochastic Itô–Volterra integral equations based on Haar wavelets

Advances in Difference Equations, 2019
In this paper, an efficient numerical method is presented for solving nonlinear stochastic Itô–Volterra integral equations based on Haar wavelets.
Jieheng Wu, Guo Jiang, Xiaoyan Sang
doaj   +1 more source

Analysis of Perturbed Volterra Integral Equations on Time Scales

, 2020
This paper describes the effect of perturbation of the kernel on the solutions of linear Volterra integral equations on time scales and proposes a new perspective for the stability analysis of numerical ...
Youssef N. Raffoul, Eleonora Messina, Antonia Vecchio, Messina Eleonora, Vecchio Antonia, Raffoul Y. N., Vecchio A., Messina E., Raffoul Youssef N   +8 more
core   +1 more source

Oscillations of Volterra integral equations with delay

Tohoku Mathematical Journal, 1993
Consider the Volterra integral equation with delays \(x(t)=f(t)-\int_ 0^ t K(t,s,x_ s)ds\), \(t\geq 0\), where \(f\in C(\mathbb{R}^ +,\mathbb{R})\), \(K(t,s,\varphi)\) is continuous in \(t\) and \(\varphi\), and maps bounded sets into bounded sets.
Karakostas, George, Stavroulakis, I. P., Wu, Yumei   +2 more
openaire   +4 more sources