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On Volterra–Fredholm Equations with Partial Integrals

Differential Equations, 2001
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On the Asymptotic Behavior of Volterra Integral Equations

SIAM Journal on Mathematical Analysis, 1972
Suppose $y(t) = f(t) - \int_0^t {a(t,s)y(s)ds} $ is a system of Volterra integral equations, and let $r(t,s)$ be the resolvent kernel corresponding to this system. If $f(t)$ is continuous and $\omega $-periodic, it is shown that under suitable restrictions on $r(t,s)$, the solution $y(t)$ is asymptotically $\omega $-periodic.
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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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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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Legendre Wavelets Method for the Nonlinear Volterra–Fredholm Integral Equations

Mathematics and Computers in Simulation, 2005
Mohsen Razzaghi
exaly  

Existence, Uniqueness and Regularity of Solutions to a Class of Third-Kind Volterra Integral Equations

Journal of Integral Equations and Applications, 2015
Hermann Brunner
exaly  

Existence of Solutions for a Class of Nonlinear Volterra Singular Integral Equations

Computers and Mathematics With Applications, 2011
Józef Banaś   +2 more
exaly  

A New Computational Method for Volterra-Fredholm Integral Equations

Computers and Mathematics With Applications, 1999
Mahmoud Hadizadeh Yazdi   +1 more
exaly  

A Solution for Volterra Fractional Integral Equations by Hybrid Contractions

Mathematics, 2019
Vladimir Rakocevic   +2 more
exaly  

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