ON A NONLINEAR VOLTERRA INTEGRODIFFERENTIAL EQUATION WITH A WEAKLY SINGULAR KERNEL

Authors
JUMARHON B PIDCOCK M
Citation
B. Jumarhon et M. Pidcock, ON A NONLINEAR VOLTERRA INTEGRODIFFERENTIAL EQUATION WITH A WEAKLY SINGULAR KERNEL, Zeitschrift fur angewandte Mathematik und Mechanik, 76(6), 1996, pp. 357-360
Citations number
11
Categorie Soggetti
Mathematics,"Mathematical Method, Physical Science",Mechanics,Mathematics
Journal title
Zeitschrift fur angewandte Mathematik und Mechanik → ACNP
ISSN journal
00442267
Volume
76
Issue
6
Year of publication
1996
Pages
357 - 360
Database
ISI
SICI code
0044-2267(1996)76:6<357:OANVIE>2.0.ZU;2-6
Abstract
This paper deals with a nonlinear Volterra integro-differential equati on by discussing its equivalent Volterra integral equation system. An equivalent system of nonlinear Volterra integral equations is set up, an explicit Euler scheme is given and the existence and uniqueness of the solution of the original problem are demonstrated on [0, infinity) through the existence and uniqueness of the solution of the Volterra integral equation system.