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The symmetry, regularity and continuity for positive solutions of integral equations on half spaces. (English) Zbl 1340.45019

Summary: In this paper, positive solutions of some systems of integral equations on half spaces are studied. The results show that the positive solutions are rotationally symmetric about some lines parallel to \(x_n\)-axis. The regularity and continuity of positive solutions are also given.

MSC:

45M20 Positive solutions of integral equations
45F05 Systems of nonsingular linear integral equations
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