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Dynamics of Langmuir oscillation excitation by an electron beam in a transverse inhomogeneous plasma are investigated. The area of monochromatic wave field localization is determined in the regime of this wave excitation. For those cases when preliminary beam modulation was absent, instability dynamics with wide oscillation spectrum excitation by plasma cross section were investigated. The form of field potential, scattering the beam particles is determined. When the external magnetic field is absent and the beam displacement in the transverse direction becomes possible, oscillation energy density shift to the increased plasma density area is detected. Discussion and analysis of results obtained are conducted. 19 refs.; 9 figs. (Atomindex citation 20:020478)