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Initial value problems for nonlinear impulsive integro-differential equations in Banach space |
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| Authors: | Wen-Xia Wang Lingling Zhang Zhandong Liang |
| Affiliation: | aDepartment of Mathematics, Taiyuan Teachers College, Taiyuan, Shanxi 030012, PR China;bDepartment of Mathematics, Taiyuan University of Technology, Taiyuan, Shanxi 030024, PR China;cDepartment of Mathematics, Shanxi University, Taiyuan, Shanxi 030006, PR China |
| Abstract: | In this paper, by using the cone theory and the monotone iterative technique, we investigate the existence of maximal and minimal solutions of the initial value problem for second order impulsive differential equations which nonlinearly involve the derivative x′ in Banach space and give an example to illustrate our results. |
| Keywords: | Impulsive integro-differential equation Ordered Banach space Cone |
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