Results 41 to 50 of about 6,585 (218)

A Generalized Nonlinear Volterra-Fredholm Type Integral Inequality and Its Application

Journal of Applied Mathematics, 2014
We establish a new nonlinear retarded Volterra-Fredholm type integral inequality. The upper bounds of the embedded unknown functions are estimated explicitly by using the theory of inequality and analytic techniques.
Limian Zhao, Shanhe Wu, Wu-Sheng Wang
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Three-dimensional triangular functions and their applications for solving nonlinear mixed Volterra–Fredholm integral equations

Alexandria Engineering Journal, 2016
In this paper, we used the three-dimensional triangular functions (3D-TFs) for the numerical solution of three-dimensional nonlinear mixed Volterra–Fredholm integral equations. First, 3D-TFs and their properties are described.
Farshid Mirzaee, Elham Hadadiyan
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Conditioning bounds for traveltime tomography in layered media [PDF]

, 2011
This paper revisits the problem of recovering a smooth, isotropic, layered wave speed profile from surface traveltime information. While it is classic knowledge that the diving (refracted) rays classically determine the wave speed in a weakly well-posed ...
Abramowitz M, Aki K, Bal G, Bateman H, Collar A R, DeVore R, Grenander U, H Baek, Herglotz G, Knutson A, L Demanet, Leung S, Shearer P, Shohat J, Simon B, Stefanov P, Stork C, Whitham G B, Wiechert E   +18 more
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The Existence and Uniqueness of the Solution of a Nonlinear Fredholm–Volterra Integral Equation with Modified Argument via Geraghty Contractions

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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A Symbolic Method for Solving a Class of Convolution-Type Volterra–Fredholm–Hammerstein Integro-Differential Equations under Nonlocal Boundary Conditions

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, Ioannis Nestorios Parasidis   +1 more
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A Jost-Pais-type reduction of (modified) Fredholm determinants for semi-separable operators in infinite dimensions [PDF]

, 2014
We study the analog of semi-separable integral kernels in $\mathcal{H}$ of the type $$ K(x,x')=\begin{cases} F_1(x)G_1(x ...
Gesztesy, Fritz, Nichols, Roger
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The product Nystr–m method and Volterra-Hammerstien Integral Equation with A Generalized Singular Kernel [PDF]

, 2014
In this work, the existence of a unique solution of Volterra-Hammerstein integral equation of the second kind (V-HIESK) is discussed. The Volterra integral term (VIT) is considered in time with a continuous kernel, while the Fredholm integral term (FIT ...
AL-Bugami, Abeer Majed
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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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Grassmannian flows and applications to nonlinear partial differential equations

, 2018
We show how solutions to a large class of partial differential equations with nonlocal Riccati-type nonlinearities can be generated from the corresponding linearized equations, from arbitrary initial data.
A Abbondandolo, A Pressley, C Martin, C Pöppe, C Pöppe, C Pöppe, C Pöppe, CA Tracy, FJ Dyson, G Segal, G Wilson, HP McKean, I. Karambal, J Deng, J Schiff, JC Alexander, K Furutani, M Beck, M Reed, M Sato, M. I. Zelikin, MA Guest, Margaret Beck, MJ Ablowitz, NF Britton, Ole Christensen, P Balazs, P Griffiths, PG Drazin, Philippe Blanchard, R Hermann, RK Dodd, RM Miura, RW Brockett, S Bian, T Miwa, V Ledoux, V Ledoux, VE Zakharov, W Bauhardt   +39 more
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Approximate Optimal Control of Volterra-Fredholm Integral Equations Based on Parametrization and Variational Iteration Method [PDF]

, 2021
This article presents appropriate hybrid methods to solve optimal control problems ruled by Volterra-Fredholm integral equations. The techniques are grounded on variational iteration together with a shooting method like procedure and parametrization ...
Maryam Alipour, Mohammad Ali Vali
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