15) The preliminary study was based on plasma kinetics and made use of a quasi-linear approximation to the collisional

Liouville equation to derive the distribution function, F (r, v), of brain activities in the neural phase space (i.

Saarloos[3] shown that the density function (mass, momentum and energy fields) obeys a

Liouville equation for hydrodynamics ideal fluid.

Bikulciene, "The solitary solution of the

Liouville equation produced by the Exp-function method holds not for all initial conditions", Computers and Mathematics with Applications, vol.

Tarasov in [36] based on the

Liouville equation obtained the fractional analogues of the classical kinetic and transport equations.

Sturm

Liouville equation has been extensively studied in both continuous and discrete cases [7, 20, 29, 33, 36].

Furthermore, the eikonal equation and the approximation of the

Liouville equation based on GO have been employed for simulating the high frequency wave propagation.

For [epsilon] = 0 this is usually called the

Liouville equation.

One of the retrieved results is the

Liouville Equation, an equation Books24x7 has made "live.

Let us define a phase space density f(x, p; s) which evolves according to the

Liouville equationNAGAR, On the solution of the

Liouville equation over a rectangle, J.

Generalized

Liouville Equation and Approximate Orthogonal Decomposition Methods

This monograph is presented with the twin goals of providing a modern survey of the basic properties of the Sturm-

Liouville equation and to introduce some aspects of recent research on Sturm-Liouville problems.