Volterra integral equations - Open Access .click

Acta Mathematicae Applicatae Sinica, English Series, 2002
The authors apply the Kurzweil-Henstock integral formalism to give existence theorems for linear Volterra equations \[ x(t)+^{\ast}\int_{[a,t]}\alpha(s)x(s)\,ds=f(t),\qquad t\in[ a,b],\tag{1} \] where the functions $x,f$\ have values in the Banach space $X$.
Federson, M., Bianconi, R., Barbanti, L.
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Volterra Integral Equations

2011
This chapter is devoted to spectral approximations of the Volterra integral equation (VIE): $y(t)+\int_{o}^{t}R(t,\tau)y(\tau)=f(t),\,\,t\epsilon[0,T],$
Jie Shen, Tao Tang, Li-Lian Wang
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Singularly Perturbed Volterra Integral Equations

SIAM Journal on Applied Mathematics, 1987
The authors study the singularly perturbed Volterra integral equation \[ \epsilon u(t)=\int^{t}_{0}K(t-s)F(u(s),s) ds,\quad t\geq 0, \] where $\epsilon$ is a small parameter, with the objective of developing a methodology that yields the appropriate ''inner'' and ''outer'' integral equations, each of which is defined on the whole domain of interest ...
Angell, J. S., Olmstead, W. E.
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Volterra Integral Equations

1999
In this chapter first we shall follow Meehan and O’Regan [213,215] and present results which guarantee the existence of nonnegative solutions of the Volterra integral equation $$y\left( t \right) = h\left( t \right) - \int_0^t {k\left( {t,s} \right)} g\left( {s,y\left( s \right)} \right)ds,t \in {\text{ }}\left[ 0 \right.
Ravi P. Agarwal, Donal O’Regan, Patricia J. Y. Wong +2 more
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