## Symmetry and monotonicity of integral equation systems.(English)Zbl 1231.45012

Summary: We investigate positive solutions of the following integral equation system where $$a,b,c,d,\alpha ,\beta$$ are constants. The symmetry and monotonicity of its solutions are proved by the method of moving planes, the non-existence and the exact form are given by the method of moving spheres.

### MSC:

 45F10 Dual, triple, etc., integral and series equations 45M99 Qualitative behavior of solutions to integral equations
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### References:

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