Results 151 to 160 of about 1,498 (180)

On Volterra–Fredholm Equations with Partial Integrals

Differential Equations, 2001
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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 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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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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Solving Volterra integral equation by using a new transformation

Journal of Interdisciplinary Mathematics, 2021
Ahmed Hadi Hussain
exaly  

Volterra Integral Equations

2021
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A Volterra Integral Equation

SIAM Review, 1968
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Differential transform method for solving Volterra integral equation with separable kernels

Mathematical and Computer Modelling, 2008
Zaid Odibat
exaly