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Transactions: WSEAS TRANSACTIONS ON MATHEMATICS
Transactions ID Number: 53-854
Full Name: Xinfeng Wang
Position: Professor
Age: ON
Sex: Male
Address: No.97, Beisihuadong Road, Chaoyang District, Beijng
Country: CHINA
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E-mail address: wangxf728@263.net
Other E-mails: ldtxinfeng@buu.edu.cn
Title of the Paper: Global solutions for second order impulsive
Authors as they appear in the Paper: Xinfeng Wang, Dalian Liu, Chong Li
Email addresses of all the authors: wangxf728@263.net, ldtdalian@buu.edu.cn, lichong@buu.edu.cn
Number of paper pages: 11
Abstract: This paper regards initial value problem for second order impulsive integro-differential equations as some nonlinear vector system. By means of the M\"{o}nch's fixed point theorem, some existences of solutions of the initial value problem is established. The results are newer than all of the previous ones because of the more general form compactness-type condition and the weaker restriction of its coefficients. An example is given to demonstrate our results. Annotation shows that our method can be used to solve the impulsive boundary value problems.
Keywords: Impulsive integro-differential equations; initial value problem; Boundary value problem; compactness-type condition; Banach space; fixed point; Operator norm of the matrix.
EXTENSION of the file: .pdf
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How Did you learn about congress: Linear Algebra and Applications, Differential Equations: Theory and Applications
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