INITIAL VALUE PROBLEMS FOR SECOND ORDER IMPULSIVEINTEGRO-DIFFERENTIAL EQUATIONS IN BANACH SPACES

Citation:

Guo Dajun.INITIAL VALUE PROBLEMS FOR SECOND ORDER IMPULSIVEINTEGRO-DIFFERENTIAL EQUATIONS IN BANACH SPACES[J].Chinese Annals of Mathematics B,1997,18(4):439~448
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Authors:

Guo Dajun;

Foundation:

the National Natural Science Foundation of China and the Doctoral Program Foundation of the State Education Commission of China
Abstract: This paper investigates the maximal and minimal solutions of initial value problem for second order nonlinear impulsive integro-differential equation in a Banach space by establishing a comparison result and using the upper and lower solutions.

Keywords:

Impulsive integro-differential equation, Banach space, Initial value problem, Comparison result

Classification:

45J05, 34G20
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