  We present a precise calculation of the Lamb shift $(2P_{1/2}-2S_{1/2})$ in
muonic ions $(\mu ^6_3Li)^{2+},~(\mu ^7_3Li)^{2+}$, $(\mu ^9_4Be)^{3+},~(\mu
^{10}_4Be)^{3+}$, $(\mu ^{10}_5B)^{4+},~(\mu ^{11}_5B)^{4+}$. The contributions
of orders $\alpha^3\div\alpha^6$ to the vacuum polarization, nuclear structure
and recoil, relativistic effects are taken into account. Our numerical results
are consistent with previous calculations and improve them due to account of
new corrections. The obtained results can be used for the comparison with
future experimental data, and extraction more accurate values of nuclear charge
radii.
