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Solutions for second order impulsive integro-differential equation on unbounded domains in Banach spaces

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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.

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Authors and Affiliations

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

    Chen Fang-qi Doctor  (陈芳启) (Professor)

  2. Department of Mechanics, Tianjin University, Tianjin, 300072, P. R. China

    Chen Fang-qi Doctor  (陈芳启) (Professor), Tian Rui-lan  (田瑞兰) & Chen Yu-shu  (陈予恕)

Authors
  1. Chen Fang-qi Doctor  (陈芳启)
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  2. Tian Rui-lan  (田瑞兰)
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  3. Chen Yu-shu  (陈予恕)
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Corresponding author

Correspondence to Chen Fang-qi Doctor  (陈芳启).

Additional information

Contributed by CHEN Yu-shu

Project supported by the National Natural Science Foundation of China(Nos.10572057 and 10251001) and the Science Foundation of Nanjing University of Aeronautics and Austronautics

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Chen, Fq., Tian, Rl. & Chen, Ys. Solutions for second order impulsive integro-differential equation on unbounded domains in Banach spaces. Appl Math Mech 27, 721–729 (2006). https://doi.org/10.1007/s10483-006-0602-1

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  • DOI: https://doi.org/10.1007/s10483-006-0602-1

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Chinese Library Classification

2000 Mathematics Subject Classification

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