Initial value problems for nonlinear second order impulsive integro-differential equations of mixed type in Banach spaces |
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Authors: | Xinguang Zhang Lishan Liu |
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Affiliation: | Department of Mathematics, Qufu Normal University, Qufu 273165, Shandong, People''s Republic of China |
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Abstract: | In this paper, through solving equations step by step, without any assumption of compactness-type conditions, we obtain unique solution of initial value problems of nonlinear second order impulsive integral-differential in Banach spaces. The results obtained generalize and improve the corresponding results of Guo and Chai in papers [D.J. Guo, Initial value problems for nonlinear second-order impulsive integro-differential equations in Banach spaces, J. Math. Anal. Appl. 200 (1996) 1–13; G.Q. Chai, Initial value problems for nonlinear second order impulsive integro-differential equations in Banach space, Acta Math. Sinica 20 (3) (2000) 351–359 (in Chinese)]. |
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Keywords: | 45J05 45N50 |
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