INTEGRO-DIFFERENTIAL EQUATIONS ON UNBOUNDED DOMAINS IN BANACH SPACES

Citation:

GUO Dajun.INTEGRO-DIFFERENTIAL EQUATIONS ON UNBOUNDED DOMAINS IN BANACH SPACES[J].Chinese Annals of Mathematics B,1999,20(4):435~446
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Authors:

GUO Dajun;

Foundation:

Project supported by the National Natural Science Foundation of China and the Doctoral Programme Foundation of the Ministry of Education of China.
Abstract: This paper investigates the maximal and minimal solutions of initial value problem for $n$-th order nonlinear integro-differential equations of Volterra type on an infinite interval in a Banach space by establishing a comparison result and using the monotone iterative technique.

Keywords:

Integro-differential equation, Initial value problem, Ordered Banach space,Comparison result, Monotone iterative technique

Classification:

45J05, 45N05
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