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| Unique solution of initial value problems for second-order discontinous integro-differential equation |
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LIANG Shu-xia, SONG Guang-xing
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(College of Mathematics and Computational Science in China University of Petroleum，Dongying 257061, China)
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| Abstract: |
| The existence and unique solution of initial value problem for second-order discontinous integro-differential equation with dependence on first derivative were investigated in Banach spaces. And the explicit iterative sequence and error estimate of the iterative sequences of approximation solution were given. |
| Key words: ordered Banach space monotone iterative method discontinous second order integro-differential equation |
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