Application of Philos-Type Difference Equations in Electromechanical Devices

The oscillatory criteriafor solutions of fourth-order neutral difference equation of the form, where is positive,, and are non-negative integers are studied. The conditions for oscillatory criteria of above equation are obtained. The Philos type oscillatory criteria are gained by Riccati transformation technique and results are applied in Linear-Time-Invariant (LTI) system to study the dynamics of electromechanical devices. There are examples for proving the results.