Volterra Integral Equations

Ravi P. Agarwal, Donal O’Regan and Patricia J. Y. Wong
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Ravi P. Agarwal: National University of Singapore, Department of Mathematics
Donal O’Regan: National University of Ireland, Department of Mathematics
Patricia J. Y. Wong: Nanyang Technological University, Division of Mathematics

Chapter Chapter 22 in Positive Solutions of Differential, Difference and Integral Equations, 1999, pp 370-380 from Springer

Abstract: Abstract 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 22.1 $$y\left( t \right) = h\left( t \right) - \int_0^t {k\left( {t,s} \right)} g\left( {s,y\left( s \right)} \right)ds,t \in {\text{ }}\left[ 0 \right. \leqslant T \leqslant \infty $$ .

Date: 1999
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DOI: 10.1007/978-94-015-9171-3_22

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