Recently, it has been shown that cosmic neutrino flux at the gamma ray burs
ter/active galactic nuclei source. F-nu e(0):F-nu mu(0):F(nu tau)(0)similar
or equal to1:2:0, inevitably oscillates (in the three neutrino framework)
to 1:1:1, irrespective of the mixing angle relevant to the solar data. It h
as also been pointed out that the intrinsic flux of the cosmic high-energy
neutrinos may not have the standard ratio, in which case the cosmic neutrin
o flux in the far distance should be dependent on the mixing angle, For neu
trinos with nonzero electromagnetic properties, we show in the latter case
that matter effects on oscillations of high-energy cosmic neutrinos can sub
stantially modify the vacuum oscillation probability, if the mass-squared d
ifference is less than or similar to 10(-10) eV,.