Open AccessEXISTENCE AND UNIQUENESS OF MILD AND STRONG SOLUTIONS OF A VOLTERRA INTERGRODIFFERENTIAL EQUATION WITH NONLOCAL CONDITIONS
Author(s) -
K. Balachandran,
S. Ilamaran
Publication year - 1997
Publication title -
tamkang journal of mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.324
H-Index - 18
eISSN - 0049-2930
pISSN - 2073-9826
DOI - 10.5556/j.tkjm.28.1997.4323
Subject(s) - uniqueness , mathematics , volterra equations , volterra integral equation , fixed point theorem , banach fixed point theorem , picard–lindelöf theorem , banach space , mathematical analysis , fixed point , integral equation , nonlinear system , physics , quantum mechanics
We prove the existence and uniqueness of mild and strong solutions of a Volterra integrodifferential equation with nonlocal initial conditions using the method of semigroups and the Banach fixed point theorem.