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The differential transform method is generally used to derive a solution for a wide class of linear and nonlinear ordinary differential equations in the form of Taylor series (Chen and Ho, 1999; Hassan 2002).
Through this process, a wide class of methods is derived, with each method corresponding to a different choice for the approximating subspace.
In addition to "lattice" motivation, it is useful to have a variational principle that allows us to derive fractional differential equations of motion that can be solved for a wide class of Lagrangian densities.
We derive sufficient conditions for the solvability of the observer design problem for a wide class of nonlinear time-varying systems, including those having triangular structure.
This result together with a forwarding induction procedure is used to derive sufficient conditions for the solvability of the observer design problem for a wide class of triangular time-varying systems.
For a wide class of radar-target geometries, functions termed multipath preservers are derived which indicate when multipath is physically observable in the radar returns; these functions assist in evaluating the potential of multipath exploitation in urban sensing.
This work derives the expressions for the bispectrum and bicoherence functions for multi-degree-of-freedom spring mass systems with quadratic nonlinearities subject to inputs described by a wide class of random processes.
A wide class of such models is introduced here.
Crude wood fibers represent a wide class of renewable resources.
The main theoretical contribution is a novel stability analysis of a wide class of CSTR.
It was extended later to harmonic functions associated with a wide class of Markov processes.
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