Solutions for Second Order Impulsive Integro-Differential Equation on Unbounded Domains in Banach Spaces

CHEN Fang-qi; TIAN Rui-lan; CHEN Yu-shu

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CHEN Fang-qi, TIAN Rui-lan, CHEN Yu-shu. Solutions for Second Order Impulsive Integro-Differential Equation on Unbounded Domains in Banach Spaces[J]. Applied Mathematics and Mechanics, 2006, 27(6): 637-645.

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Solutions for Second Order Impulsive Integro-Differential Equation on Unbounded Domains in Banach Spaces

1.
School of Science, Nanjing University of Aeronautics and Austronautics, Nanjing 210016, P. R. China;

Received Date: 2005-03-15
Rev Recd Date: 2006-02-28
Publish Date: 2006-06-15

Abstract

Abstract

Under loose conditions,the existence of solutions to initial value problem are studied for second order impulsive integro_differential equation with infinite moments of impulse effect on the positive half real axis in Banach spaces.By the use of recurrence method,Tonelii sequence and the locally convex topology,the new existence theorems are achieved,which improve the related results obtained by GUO Da_jun.
- impulsive integro_differential equation,
- Tonelii sequence,
- locally convex topology,
- measure of noncompactness

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References(9)

References

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