Results 81 to 90 of about 2,217,193 (194)
On asymptotically periodic solutions of linear discrete Volterra equations [PDF]
, 2010 We show that a class of linear nonconvolution discrete Volterra equations has asymptotically periodic solutions. We also examine an example for which the calculations can be done explicitly.
Győri, István, Reynolds, David W.
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On the Stability of Fractional Integro‐Differential Equations of Ψ‐Hilfer Type
Journal of Function Spaces, Volume 2026, Issue 1, 2026.In this article, we investigate some properties such as the existence, uniqueness, and Ulam–Hyers–Rassias stability for the fractional Volterra–Fredholm integrodifferential equations of Ψ‐Hilfer type with boundary conditions. We prove the desired results by using the Banach fixed point theorem and the Schauder fixed point theorem.
Malayin A. Mohammed +3 more
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Journal of Mathematics, 2020 We develop the multiwavelet Galerkin method to solve the Volterra–Fredholm integral equations. To this end, we represent the Volterra and Fredholm operators in multiwavelet bases.
H. Bin Jebreen
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Journal of Mathematics, Volume 2026, Issue 1, 2026.In this paper, we investigate a class of nonlinear tempered fractional boundary value problems (BVPs) with a generalized Caputo‐type derivative with respect to a kernel function. The problem includes variable coefficients, a nonlinear term depending on lower‐order derivatives, a tempered fractional integral term, and a nonlocal multipoint integral ...
Jabr Aljedani, Smritijit Sen
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A fast iterative method for discretized Volterra–Fredholm integral equations
Journal of Computational and Applied Mathematics, 2006 The authors develop a method that reduces the cost of solving discretized versions of nonlinear Volterra-Fredholm integral equations of the form \[ u(t, x)=f(t,x)+\int_0^t \int_{\Omega} G(t, s, x, \xi, u(s, \xi))\,d\xi \,ds \] on a bounded spatial domain.
CARDONE, ANGELAMARIA +2 more
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Generalized Bihari Type Integral Inequalities and the Corresponding Integral Equations
Journal of Inequalities and Applications, 2009 We study some special nonlinear integral inequalities and the corresponding integral equations in measure spaces. They are significant generalizations of Bihari type integral inequalities and Volterra and Fredholm type integral equations.
László Horváth
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Journal of Mathematics, Volume 2026, Issue 1, 2026.In this paper, we propose a projection method that utilizes shifted airfoil polynomials to solve systems of weakly singular fractional integro‐differential equations (FIDEs). The proposed approach converts the original system into two linear algebraic systems, facilitating efficient numerical solutions.
Saeed Althubiti, Chang Phang
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Reduction of Fredholm integral equations with Green's function kernels to Volterra equations [PDF]
G. F. Drukarev has given a method for solving the Fredholm equations which arise in the study of collisions between electrons and atoms. He transforms the Fredholm equations into Volterra equations plus finite algebraic systems. H.
Aalto, Sergei Kalvin
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Analysis of Spectral Tau Method for Approximate Solution of Fourth‐Order BVP in Hilbert Spaces
Journal of Mathematics, Volume 2026, Issue 1, 2026.This research explores the effectiveness of the spectral Tau method for solving fourth‐order differential boundary value problem (FBVP). We transform this FBVP into a Volterra–Fredholm integral equation (VFIE). By applying Banach’s fixed‐point theorem, we investigate the existence and uniqueness of the solution for the VFIE form of the FBVP equation ...
Javad Shokri, Smritijit Sen
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Volterra integral and differential equations /
, 2005 Most mathematicians, engineers, and many other scientists are well-acquainted with theory and application of ordinary differential equations. This book seeks to present Volterra integral and functional differential equations in that same framwork ...
Burton, T. A.(Theodore Allen),
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