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Existence of solutions for nonlinear impulsive Hammerstein integral equations in Banach spaces

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Abstract

The existence of solutions for nonlinear impulsive Hammerstein integral equations with infinite numbers of moments of impulse effect on the infinite intervalR + in Banach spaces is studied. By means of Mönch fixed point theorem, an existence theorem of solutions is obtained. The result is demonstrated by means of an infinite system for impulsive integral equations.

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Authors and Affiliations

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

    Chen Fangqi Doctor & Chen Yushu

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  1. Chen Fangqi Doctor
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  2. Chen Yushu
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Foundation item: the National Natural Science Foundation of China (19672043); the Education Committee Foundation of China

Biography: Chen Fangqi (1963-)

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Fangqi, C., Yushu, C. Existence of solutions for nonlinear impulsive Hammerstein integral equations in Banach spaces. Appl Math Mech 21, 123–132 (2000). https://doi.org/10.1007/BF02458512

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  • DOI: https://doi.org/10.1007/BF02458512

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