Determination of a time-dependent potential in a Rayleigh-Love equation with non-classical boundary condition

Authors : İbrahim TEKİN

Pages : 331-340

Doi:10.31801/cfsuasmas.438227

View : 15 | Download : 11

Publication Date : 2021-06-30

Article Type : Research Paper

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 insert ignore into journalissuearticles values(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