- Communications Faculty of Sciences University Ankara Series A1 Mathematics and Statistics
- Vol: 70 Issue: 1
- Determination of a time-dependent potential in a Rayleigh-Love equation with non-classical boundary ...
Determination of a time-dependent potential in a Rayleigh-Love equation with non-classical boundary condition
Authors : Ibrahim Tekin
Pages : 331-340
Doi:10.31801/cfsuasmas.438227
View : 9 | Download : 5
Publication Date : 2021-06-30
Article Type : Research
Abstract :Mathematical 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.Keywords : Pseudo-hyperbolic equation, Inverse problem, , Fourier Method