Results 261 to 270 of about 211,521 (307)

Integral Volterra Equations

2016
In this chapter, we conducted a thorough examination of the Volterra integral equation of the second kind for an arbitrary real parameter λ, assuming that the free term f (x) is real-valued and continuous on the interval [a, b] and that the kernel K(x, t) is real-valued, continuous, and separable on the square Q(a, b) = {(x, t): [a, b] × [a, b]}.
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VOLTERRA INTEGRAL EQUATIONS AND NONLINEAR SEMIGROUPS

Nonlinear Analysis: Theory, Methods & Applications, 1977
Publisher Summary This chapter discusses Volterra integral equations and nonlinear semigroups. It presents the nonlinear Volterra integral equation x ( t ) = y ( t ) + ∫ g ( t − s , x ( s )) ds , t ≥ 0, where H is a Hilbert space, y : [0, ∞) → H is given, g : [0, ∞) × H → satisfies a Lipschitz condition in its second place, and x :
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A Stieltjes–Volterra Integral Equation Theory

Canadian Journal of Mathematics, 1966
Suppose S = [a, b] is a number interval and F is a function from S X S to a normed algebraic ring N with multiplicative identity I. We consider the problem of finding, for appropriate conditions on F, a function M from S X S to N such that for all t and x,where the integral is a Cauchy-left integral.
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On Volterra Integral Equations on Time Scales

Mediterranean Journal of Mathematics, 2014
The following Volterra integral equations are considered: \[ x(t)=f(t)+\int\limits_{a}^{t} g(t,s,x(s))\Delta s \] and \[ x(t)=f(t)+\int\limits_{a}^{t} g(t,s,x(\sigma(s)))\Delta s, \] where \(x: \mathbb{T}\to \mathbb{R}^n\) is the unknown function, \(g: \mathbb{T}\times\mathbb{T}\times\mathbb{R}^n\to\mathbb{R}^n\) and \(f:\mathbb{T}\to\mathbb{R}^n\) are
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Volterra integral equations and evolution equations with an integral condition

Differential Equations, 2017
We suggest a simple method for reducing problems with an integral condition for evolution equations to a Volterra integral equation of the first kind. For Volterra equations of the convolution type, we indicate necessary and sufficient solvability conditions for the case in which the right-hand side lies in some classes of functions of finite ...
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Numerical solution of Itô-Volterra integral equation by least squares method

Numerical Algorithms, 2019
Mahdi Ahmadinia, A. H.Afshari, M. Heydari   +2 more
semanticscholar   +1 more source

The numerical solution of fractional differential equations using the Volterra integral equation method based on thin plate splines

Engineering computations, 2018
P. Assari, S. Cuomo
semanticscholar   +1 more source

Chelyshkov polynomials strategy for solving 2-dimensional nonlinear Volterra integral equations of the first kind

Computational and Applied Mathematics, 2022
A. Mahdy, D. Shokry, K. Lotfy
semanticscholar   +1 more source

An overview of real‐world data sources for oncology and considerations for research

Ca-A Cancer Journal for Clinicians, 2022
Lynne Penberthy, Donna R Rivera, Jennifer L Lund, Msph   +2 more
exaly  

Existence results for fuzzy Volterra integral equation

Journal of Intelligent & Fuzzy Systems, 2017
H. Vu
semanticscholar   +1 more source