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Fixed point indexes and its applications to nonlinear integral equations modelling infectious diseases

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Abstract

In this paper the fixed point index problem for a class of positive operators with boundary control conditions is discussed, and some sufficient conditions for the fixed point index to be equal to 1 or 0 are given. Moreover, a general fixed point theorem of expansions and compressions for cone is obtained, which generalizes and improves the corresponding results of [3,8,9]. As an application, we utilize the results presented above to study the existence conditions of positive solutions of nonlinear integral equations modelling infectious diseases.

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Authors and Affiliations

  1. Sichuan University, Chengdu

    Zhang Shi-sheng

  2. Henan Normal University, Kaifeng

    Bian Wen-ming

Authors
  1. Zhang Shi-sheng
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  2. Bian Wen-ming
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Project supported by National Natural Science Foundation of China.

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Shi-sheng, Z., Wen-ming, B. Fixed point indexes and its applications to nonlinear integral equations modelling infectious diseases. Appl Math Mech 10, 399–406 (1989). https://doi.org/10.1007/BF02019229

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  • DOI: https://doi.org/10.1007/BF02019229

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