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[en] Method of time analysis is generalized in elastic scattering of neutrons by nuclei near the resonance, distorted by unresonant background. The role of phase parameter, which describes a spacee-time shift between neutrons and emitted particles in the laboratory system, is investigated. The calculations of cross sections are presented for elastic scattering of neutrons by nuclei "2"8Si, "6"3Cu, "6"4Ni, "7"3Ge with the use of new method of time analysis of nuclear reactions with the isolated compound-nucleus resonances.