Determination of the leading coefficient in fourth-order Sturm–Liouville operator from boundary measurements

Abstract

An inverse coefficient identification problems associated with the fourth-order Sturm–Liouville equation in the steady state Euler–Bernoulli beam theory is investigated. Unlike previous studies in which spectral data are used as additional information, in this article only boundary information is used, hence nondestructive tests can be employed in practical applications.

Keywords:

• Sturm–Liouville equation
• Beam theory
• Inverse problems

Acknowledgement

The first author would like to thank the UK Royal Society for some financial support received for performing this research.