Tekin, İbrahim2026-02-082026-02-0820211303-59912618-6470https://doi.org/10.31801/cfsuasmas.438227https://hdl.handle.net/20.500.12885/3841Mathematical model of the longitudinal vibration of bars includes higher-order derivatives in the equation of motion under considering the effect of the lateral motion of a relatively thick bar. This paper considers such an inverse coefficient problem of determining time-dependent potential of a linear source together with the unknown longitudinal displacement from a Rayleigh-Love equation (containing the fourth-order space derivative) by using an additional measurement. Existence and uniqueness theorem of the considered inverse coefficient problem is proved for small times by using contraction principle.eninfo:eu-repo/semantics/openAccessArticle10.31801/cfsuasmas.438227701331340