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We consider the singular nonlinear integral equation Open image in new window  for all Open image in new window  where Open image in new window  is a given positive constant and the given function Open image in new window  is continuous and Open image in new window  for all Open image in new window  with some constants Open image in new window  and Open image in new window . We prove in an elementary way that if Open image in new window , Open image in new window , Open image in new window , Open image in new window  the above nonlinear integral equation has no positive solution.

On the nonexistence of positive solution of some singular nonlinear integral equations