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INTEGRO-DIFFERENTIAL EQUATIONS ON UNBOUNDED DOMAINS IN BANACH SPACES |
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Citation: |
GUO Dajun.INTEGRO-DIFFERENTIAL EQUATIONS ON UNBOUNDED DOMAINS IN BANACH SPACES[J].Chinese Annals of Mathematics B,1999,20(4):435~446 |
Page view: 1076
Net amount: 920 |
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. |
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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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