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Multiplicity of positive solutions to nonlinear systems of Hammerstein integral equations with weighted functions

This work is supported by NSF of China under 11325107 and 11471148

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  • We are concerned with the existence and multiplicity of component-wise positive solutions for nonlinear system of Hammerstein integral equations with the weighted functions and the associated nonlinear eigenvalue problem. Our discussions are based on the product formula of fixed point index on product cones and the fixed point index theory. Moreover, we establish the existence and multiplicity of component-wise positive solutions for the associated nonlinear systems of second-order ordinary differential equations under the mixed boundary value conditions.

    Mathematics Subject Classification: 45G15, 37C25, 47H30.

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