Wang Xinfeng, Liu Dalian, Li Chong, "Global Solutions for Second Order Impulsive Integro-Differential Equations in Banach Spaces," WSEAS Transactions on Mathematics, vol. 11, pp. -, 2012, DOI:
Wang Xinfeng, Liu Dalian, Li Chong. Global Solutions for Second Order Impulsive Integro-Differential Equations in Banach Spaces.
WSEAS Transactions on Mathematics. 2012;11:-.
WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 11, 2012
Global Solutions for Second Order Impulsive Integro-Differential Equations in Banach Spaces
Authors: , ,
Abstract: This paper regards initial value problem for second order impulsive integro-differential equations as some nonlinear vector system. By means of the M¨onch′s fixed point theorem, some existence theorems of solu- tions of the initial value problem are 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
Pages: - WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 11, 2012DOI: *As the DOI is a unique identifier, it is already available in the pdf version.
**The DOI link will be activated in the first midst of January 2026.
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