Fixed Point Indexes and Its Applications to Nonlinear Integral Equations Modeling Infectious Diseases

Zhang Shi-sheng; Bian Wen-ming

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Article Navigation > Applied Mathematics and Mechanics > 1989 > 10(5): 385-392

Zhang Shi-sheng, Bian Wen-ming. Fixed Point Indexes and Its Applications to Nonlinear Integral Equations Modeling Infectious Diseases[J]. Applied Mathematics and Mechanics, 1989, 10(5): 385-392.

Citation:

Zhang Shi-sheng, Bian Wen-ming. Fixed Point Indexes and Its Applications to Nonlinear Integral Equations Modeling Infectious Diseases[J]. Applied Mathematics and Mechanics, 1989, 10(5): 385-392.

Citation:

Zhang Shi-sheng, Bian Wen-ming. Fixed Point Indexes and Its Applications to Nonlinear Integral Equations Modeling Infectious Diseases[J]. Applied Mathematics and Mechanics, 1989, 10(5): 385-392.

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Fixed Point Indexes and Its Applications to Nonlinear Integral Equations Modeling Infectious Diseases

Zhang Shi-sheng¹,
Bian Wen-ming²

1.
Sichuan University, Chengdu;
2.
Henan Normal University, Kaifeng

Received Date: 1988-01-13
Publish Date: 1989-05-15

Abstract

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 pointindex 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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References(9)

References

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