Isotropic Cosmological Singularities. III. The Cauchy Problem for the Inhomogeneous Conformal Einstein–Vlasov Equations

the algorithm for solving the inverse numerical range problem

برد عددی ماتریس مربعی a را با w(a) نشان داده و به این صورت تعریف می کنیم w(a)={x8ax:x ?s1} ، که در آن s1 گوی واحد است. در سال 2009، راسل کاردن مساله برد عددی معکوس را به این صورت مطرح کرده است : برای نقطه z?w(a)، بردار x?s1 را به گونه ای می یابیم که z=x*ax، در این پایان نامه ، الگوریتمی برای حل مساله برد عددی معکوس ارانه می دهیم.

Inhomogeneous Two-Parameter Abstract Cauchy Problem

Cosmological Models with Isotropic Singularities

In 1985 Goode and Wainwright devised the concept of an isotropic singularity. Since that time, numerous authors have explored the interesting consequences, in mathematical cosmology, of assuming the existence of this type of singularity. In this paper, we collate all examples of cosmological models which are known to admit an isotropic singularity, and make a number of observations regarding th...

inhomogeneous two-parameter abstract cauchy problem

Isotropic Cosmological Singularities : Other matter models

Isotropic cosmological singularities are singularities which can be removed by rescaling the metric. In some cases already studied ([2], [1]) existence and uniqueness of cosmological models with data at the sin-gularity has been established. These were cosmologies with, as source, either perfect fluids with linear equations of state or massless, collision-less particles. In this article we cons...