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Construction of usc Solutions for a Multivalued Iterative Equation of Order n

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Abstract

Without Lipschitz condition, only the second order polynomial-like iterative equation was discussed for monotone usc multivalued solutions under the assumption that the coefficient of the first order iterate is large. In this paper without this assumption we give a general construction of infinitely many increasing usc multivalued solutions for multivalued iterative equation of order n.

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Authors and Affiliations

  1. Yangtze Center of Mathematics and Department of Mathematics, Sichuan University, Chengdu, 610064, Sichuan, People’s Republic of China

    Lin Li & Weinian Zhang

  2. Department of Mathematics Physics and Information Engineering, Jiaxing University, Jiaxing, 314001, Zhejiang, People’s Republic of China

    Lin Li

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  1. Lin Li
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  2. Weinian Zhang
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Correspondence to Lin Li.

Additional information

This article was supported by NSFC # 10825104 and SRFDP # 200806100002.

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Li, L., Zhang, W. Construction of usc Solutions for a Multivalued Iterative Equation of Order n . Results. Math. 62, 203–216 (2012). https://doi.org/10.1007/s00025-011-0139-4

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  • DOI: https://doi.org/10.1007/s00025-011-0139-4

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