AbstractThe scalar Volterra integral equation u(t) + ∝0t g(t, s, u(s)) ds = ƒ(t) is studied on bounded intervals and on the half line. Conditions are given such that solutions u depend in a Lipschitz continuous way on ƒ in spaces W1,1([0,T],R). Also, conditions are given such that the operator (ƒ(0), ƒ′ (·)) at u(·) is order preserving. The results are applied to questions of uniform boundedness and asymptotic behavior of solutions
AbstractFor the Volterra integral equation x(t) = f(t) − ∝0t a(t, s)(x(s) + g[s, x(s)]) ds, if the r...
We study a regularization of linear Volterra integral equation of the first kind with differentiable...
Consider the system of equationsx(t)=f(t)+∫−∞tk(t,s)x(s)ds, (1)andx(t)=f(t)+∫−∞tk(t,s)g(s,...
AbstractThe scalar Volterra integral equation u(t) + ∝0t g(t, s, u(s)) ds = ƒ(t) is studied on bound...
AbstractThe equation u(t) = − ∫0t A(t − τ) g(u(τ)) dτ + h(t), t ⩾ 0 is studied on a Hilbert space H....
AbstractWe study the scalar, nonlinear Volterra integrodifferential equation (∗), x′(t) + ∫[0,t] g(x...
AbstractThis paper considers a scalar non-linear Volterra integro-differential equation. We establis...
AbstractThe asymptotic behavior as t → ∞ of solutions of ∝0tu(t − s) dA(s) = f(t) is studied when f(...
This paper introduces the more general result on existence, uniqueness and boundedness for solutions...
We consider the linear Volterra equation x (t) = a (t) - ∫0t K (t, s) x (s) d s and suppose that the...
AbstractThe equation u(t) + ∝0tk(t − s)g(s) ds ϵ f(t), t ⩾ 0, is studied in a real Banach space with...
We consider homogeneous linear Volterra Discrete Equations and we study the asymptotic behaviour of ...
AbstractThis paper discusses the existence, uniqueness, and asymptotic behavior of solutions to the ...
Volterra integral equations with the integration region of non-traditional type are considered in th...
AbstractThe behavior of exact solutions to Volterra linear and non-linear integral equations with ne...
AbstractFor the Volterra integral equation x(t) = f(t) − ∝0t a(t, s)(x(s) + g[s, x(s)]) ds, if the r...
We study a regularization of linear Volterra integral equation of the first kind with differentiable...
Consider the system of equationsx(t)=f(t)+∫−∞tk(t,s)x(s)ds, (1)andx(t)=f(t)+∫−∞tk(t,s)g(s,...
AbstractThe scalar Volterra integral equation u(t) + ∝0t g(t, s, u(s)) ds = ƒ(t) is studied on bound...
AbstractThe equation u(t) = − ∫0t A(t − τ) g(u(τ)) dτ + h(t), t ⩾ 0 is studied on a Hilbert space H....
AbstractWe study the scalar, nonlinear Volterra integrodifferential equation (∗), x′(t) + ∫[0,t] g(x...
AbstractThis paper considers a scalar non-linear Volterra integro-differential equation. We establis...
AbstractThe asymptotic behavior as t → ∞ of solutions of ∝0tu(t − s) dA(s) = f(t) is studied when f(...
This paper introduces the more general result on existence, uniqueness and boundedness for solutions...
We consider the linear Volterra equation x (t) = a (t) - ∫0t K (t, s) x (s) d s and suppose that the...
AbstractThe equation u(t) + ∝0tk(t − s)g(s) ds ϵ f(t), t ⩾ 0, is studied in a real Banach space with...
We consider homogeneous linear Volterra Discrete Equations and we study the asymptotic behaviour of ...
AbstractThis paper discusses the existence, uniqueness, and asymptotic behavior of solutions to the ...
Volterra integral equations with the integration region of non-traditional type are considered in th...
AbstractThe behavior of exact solutions to Volterra linear and non-linear integral equations with ne...
AbstractFor the Volterra integral equation x(t) = f(t) − ∝0t a(t, s)(x(s) + g[s, x(s)]) ds, if the r...
We study a regularization of linear Volterra integral equation of the first kind with differentiable...
Consider the system of equationsx(t)=f(t)+∫−∞tk(t,s)x(s)ds, (1)andx(t)=f(t)+∫−∞tk(t,s)g(s,...
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