Cauchy problem as a two-surface based ‘geometrodynamics’

Inhomogeneous Two-Parameter Abstract Cauchy Problem

inhomogeneous two-parameter abstract cauchy problem

A Two-parameter Generalized Skew-Cauchy Distribution

In this paper, we discuss a new generalization of univariate skew-Cauchy distribution with two parameters, we denoted this by GSC(&lambda1, &lambda2), that it has more flexible than the skew-Cauchy distribution (denoted by SC(&lambda)), introduced by Behboodian et al. (2006). Furthermore, we establish some useful properties of this distribution and by two numerical example, show that GSC(&lambd...

On the problem of anisotropy in geometrodynamics

The problem of spiral galaxies rotation curves and some others are approached classically on the base of the geometrodynamics. The modification of the expression for Einstein-Hilbert action leads to the generalized geodesics and then to the equations for the gravity force that contain not only the Newtonian term. The used approach is consistent with the equivalence principle, preserves all the ...

A singular abstract cauchy problem.

In this note a singular abstract Cauchy problem is considered. A solution is obtained for this problem in terms of a regular abstract Cauchy problem. As an application we obtain a new solution of the initial value problem for a class of singular partial differential equations.