Volterra integral equations and a new Gronwall inequality (Part I: The linear case)
1987 ◽
Vol 106
(3-4)
◽
pp. 361-373
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Keyword(s):
SynopsisWe present a generalisation of the continuous Gronwall inequality and show its use in bounding solutions of discrete inequalities of a form that arise when analysing the convergence of product integration methods for Volterra integral equations. We then use these ideas to prove convergence of a numerical method which is effective in approximating Volterra integral equations of the second kind with weakly singular kernels.
1989 ◽
Vol 112
(3-4)
◽
pp. 353-353
Keyword(s):
1996 ◽
Vol 65
(215)
◽
pp. 1201-1213
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2019 ◽
Vol 347
◽
pp. 149-161
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2006 ◽
Vol 6
(4)
◽
pp. 436-442
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2009 ◽
Vol 14
(1)
◽
pp. 79-89
◽
2000 ◽
Vol 115
(1-2)
◽
pp. 193-211
◽
1993 ◽