Time-Dependent Conformal Transformations and the Propagator for Quadratic Systems

Propagator for the time-dependent harmonic oscillator.

The propagator for a harmonic oscillator with general time-dependent mass and frequency matrices is constructed from the Van-Vleck/Morette formula. The explicit form of the classical action, and thus of the propagator, is found in terms of infinite series which are solutions to a set of differential equations. Those equations are found independently via the Hamilton-Jacobi equation, and by comp...

Delay-Dependent Robust Asymptotically Stable for Linear Time Variant Systems

In this paper, the problem of delay dependent robust asymptotically stable for uncertain linear time-variant system with multiple delays is investigated. A new delay-dependent stability sufficient condition is given by using the Lyapunov method, linear matrix inequality (LMI), parameterized first-order model transformation technique and transformation of the interval uncertainty in to the norm ...

A Characterization of the Infinitesimal Conformal Transformations on Tangent Bundles

Inventory Model for Deteriorating Items with Quadratic Time Dependent Demand under Trade Credits

In this paper, an EOQ model is developed for a deteriorating item with quadratic time dependent demand rate under trade credit. Mathematical models are also derived under two different situations i.e. Case I; the credit period is less than the cycle time for settling the account and Case II; the credit period is greater than or equal to the cycle time for settling the account. The numerical exa...

Exact solutions for the flow of a generalized second grade due to a Longitudinal quadratic time-dependent shear stress