AbstractWe study the nondifierentiated, nonlinear Volterra equation x(t) + ∝0t a(t − s) g(x(s)) ds = ƒ(t) in a Hilbert apace H. The kernel a is supposed to be positive definite. We show that extensions of some earlier boundedness and asymptotic results which MacCamy and Gripenberg have obtained by inverting the kernel can be deduced directly from energy estimates
AbstractFor the Volterra integral equation x(t) = f(t) − ∝0t a(t, s)(x(s) + g[s, x(s)]) ds, if the r...
AbstractThis paper is concerned with the asymptotic behavior of solutions of the scalar equationx′(t...
AbstractIn this paper, we study, by means of a modification of the weighted energy method, the quest...
AbstractWe study the nondifierentiated, nonlinear Volterra equation x(t) + ∝0t a(t − s) g(x(s)) ds =...
AbstractThe asymptotic properties of the bounded solutions of a time-dependent nonlinear Volterra eq...
AbstractWe consider the asymptotic behavior of the bounded solutions of a nonlinear Volterra integro...
AbstractWe consider equations of the form, u(t) = − ∝0t A(t − τ)g(u(τ)) dτ + ϑ(t) (I) on a Hubert sp...
AbstractIn this paper we consider the Volterra difference equation xn−fn=−∑k=0nan−kGk(xk), in the co...
AbstractThe asymptotic behavior of bounded solutions of a nonlinear, nonconvolution Volterra integra...
AbstractWe study the scalar, nonlinear Volterra integrodifferential equation (∗), x′(t) + ∫[0,t] g(x...
We study the generation of analytic semigroups in the L-2 topology by second order elliptic operator...
AbstractThe equation u(t) = − ∫0t A(t − τ) g(u(τ)) dτ + h(t), t ⩾ 0 is studied on a Hilbert space H....
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 vector-valued autonomous differential equations of the form x' = f(x) + phi with analyti...
AbstractThe main purpose of this work is to study the damping effect of memory terms associated with...
AbstractFor the Volterra integral equation x(t) = f(t) − ∝0t a(t, s)(x(s) + g[s, x(s)]) ds, if the r...
AbstractThis paper is concerned with the asymptotic behavior of solutions of the scalar equationx′(t...
AbstractIn this paper, we study, by means of a modification of the weighted energy method, the quest...
AbstractWe study the nondifierentiated, nonlinear Volterra equation x(t) + ∝0t a(t − s) g(x(s)) ds =...
AbstractThe asymptotic properties of the bounded solutions of a time-dependent nonlinear Volterra eq...
AbstractWe consider the asymptotic behavior of the bounded solutions of a nonlinear Volterra integro...
AbstractWe consider equations of the form, u(t) = − ∝0t A(t − τ)g(u(τ)) dτ + ϑ(t) (I) on a Hubert sp...
AbstractIn this paper we consider the Volterra difference equation xn−fn=−∑k=0nan−kGk(xk), in the co...
AbstractThe asymptotic behavior of bounded solutions of a nonlinear, nonconvolution Volterra integra...
AbstractWe study the scalar, nonlinear Volterra integrodifferential equation (∗), x′(t) + ∫[0,t] g(x...
We study the generation of analytic semigroups in the L-2 topology by second order elliptic operator...
AbstractThe equation u(t) = − ∫0t A(t − τ) g(u(τ)) dτ + h(t), t ⩾ 0 is studied on a Hilbert space H....
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 vector-valued autonomous differential equations of the form x' = f(x) + phi with analyti...
AbstractThe main purpose of this work is to study the damping effect of memory terms associated with...
AbstractFor the Volterra integral equation x(t) = f(t) − ∝0t a(t, s)(x(s) + g[s, x(s)]) ds, if the r...
AbstractThis paper is concerned with the asymptotic behavior of solutions of the scalar equationx′(t...
AbstractIn this paper, we study, by means of a modification of the weighted energy method, the quest...
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