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VOLTERRA INTEGRAL EQUATIONS AND NONLINEAR SEMIGROUPS
Nonlinear Analysis: Theory, Methods & Applications, 1977Publisher 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, 2014The 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, 2005Mohsen Razzaghi
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Existence of solutions for a class of nonlinear Volterra singular integral equations
Computers and Mathematics With Applications, 2011Józef Banaś +2 more
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A new computational method for Volterra-Fredholm integral equations
Computers and Mathematics With Applications, 1999Mahmoud Hadizadeh Yazdi +1 more
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A Solution for Volterra Fractional Integral Equations by Hybrid Contractions
Mathematics, 2019Vladimir Rakocevic, Erdal Karapınar
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Communications in Nonlinear Science and Numerical Simulation, 2011
Reza Ezzati, Khosrow Maleknejad
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Reza Ezzati, Khosrow Maleknejad
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