Results 41 to 50 of about 3,012,051 (188)
Mathematics, 2020 Using some of the extended fixed point results for Geraghty contractions in b-metric spaces given by Faraji, Savić and Radenović and their idea to apply these results to nonlinear integral equations, in this paper we present some existence and uniqueness
Maria Dobriţoiu
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Corrections on A numerical method for solving nonlinear Volterra--Fredholm integral equations
CoRR, 2019 Some corrections are made in our article, which was published in Appl. Anal. Optim. Vol. 3 (2019), No. 1, 103--127. These corrections are intended to transform the equation \eqref{eq:1.1} \begin{equation}\label{eq:1.1} x(t) + \int\limits_a^t {K_1(t,s,x(s)) ds} + \int\limits_a^b {K_2(t,s,x(s)) ds} = g(t),\;\,a \le t \le b \tag{1.1} \end{equation} into a
Ngo Thanh Binh, Khuat Van Ninh
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Algorithms, 2023 Integro-differential equations involving Volterra and Fredholm operators (VFIDEs) are used to model many phenomena in science and engineering. Nonlocal boundary conditions are more effective, and in some cases necessary, because they are more accurate ...
Efthimios Providas +1 more
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A Multiple Iterated Integral Inequality and Applications
Journal of Applied Mathematics, 2014 We establish new multiple iterated Volterra-Fredholm type integral inequalities, where the composite function w(u(s)) of the unknown function u with nonlinear function w in integral functions in [Ma, QH, Pečarić, J: Estimates on solutions of some new ...
Zongyi Hou, Wu-Sheng Wang
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On the asymptotic behaviour of deterministic and stochastic volterra integro-differential equations [PDF]
, 2007 This thesis examines a question of stability in stochastic and deterministic systems with memory, and involves studying the asymptotic properties of Volterra integro-differential equations.
Devin, Siobhan
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АППРОКСИМАЦИОННОЕ РЕШЕНИЕ ИНТЕГРАЛЬНЫХ УРАВНЕНИЙ ФРЕДГОЛЬМА И ВОЛЬТЕРРА ВТОРОГО РОДА МЕТОДОМ S-ПРЕОБРАЗОВАНИЙ [PDF]
, 2010 Аппроксимационно-операционный подход применен к решению интегральных уравнений Фредгольма и Вольтерра второго рода. Показано, что аппроксимация ядер интегральных уравнений как сигналов, зависящих от двух аргументов, обобщенными полиномами на основе ...
Симак, Лилия Алексеевна +2 more
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A Simple Approach to Volterra-Fredholm Integral Equations [PDF]
Journal of Applied and Computational Mechanics, 2020 This paper suggests a simple analytical method for Volterra-Fredholm integral equations, the solution process is similar to that by variational-based analytical method, e.g., Ritz method, however, the method requires no establishment of the variational ...
Ji-Huan He
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Some Nonlinear Delay Volterra–Fredholm Type Dynamic Integral Inequalities on Time Scales
Discrete Dynamics in Nature and Society, 2018 We are devoted to studying a class of nonlinear delay Volterra–Fredholm type dynamic integral inequalities on time scales, which can provide explicit bounds on unknown functions.
Yazhou Tian, A. A. El-Deeb, Fanwei Meng
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Piecewise constant bounds for the solution of nonlinear Volterra-Fredholm integral equations [PDF]
Computational & Applied Mathematics, 2012 Using the tools offered by interval analysis, the authors compute piecewise constant bounds for the solution of mixed nonlinear Volterra-Fredholm integral equations. They choose the interval enclosures such that it contains the exact solution considering all round-off errors and truncation errors.
Yazdani, S., Hadizadeh, M.
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Advances in Mathematical Physics, Volume 2026, Issue 1, 2026.A numerical collocation approach employing independence polynomials of paths is formulated to approximate the solutions of high‐order linear Fredholm–Volterra integro‐differential problems under mixed conditions. The proposed approach transforms the given equation and conditions into a matrix form, leading to a linear system whose unknowns are the ...
Fatma Kaci, Kang-Jia Wang
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