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On the Existence of Weak Solutions of Nonlinear Integral Equations in Banach Spaces

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Abstract

In this paper, we use the techniques of measure of weak noncompactness and Henstock–Kurzweil–Pettis integrals to discuss the existence theorem of weak solutions for a class of the nonlinear integral equations and obtain a new result, which improves and extends some relevant results for differential and integral equations in Banach spaces.

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Authors and Affiliations

  1. College of Mathematics and Statistics, Northwest Normal University, Lanzhou, 730070, People’s Republic of China

    Baolin Li & Haide Gou

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  1. Baolin Li
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  2. Haide Gou
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Correspondence to Baolin Li.

Additional information

Supported by the National Natural Science Foundation of China (Grant No. 11061031).

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Li, B., Gou, H. On the Existence of Weak Solutions of Nonlinear Integral Equations in Banach Spaces. Mediterr. J. Math. 13, 2633–2643 (2016). https://doi.org/10.1007/s00009-015-0643-y

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  • DOI: https://doi.org/10.1007/s00009-015-0643-y

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