International Conference «Mathematical and Informational Technologies, MIT-2011»
(IX Conference «Computational and Informational Technologies for Science,
Engineering and Education»)

Vrnjacka Banja, Serbia, August, 27–31, 2011

Budva, Montenegro, August, 31 – September, 5, 2011

Mijajlović Ž.  

Karamata class solutions of Friedman equation

We discuss asymptotic behaviors at infinity of solutions of the system of the following three differential equations:
* the Friedman acceleration equation
* the fuid equation
* and the Friedman equation
These equations appear in the study of the expansion scale factor a(t) of the Universe. We discuss this system by use of the theory of regularly varying functions, also known as Karamata functions. As a result we obtain that the solutions of the system might have a multiplicative term which is a slowly varying function. Under usual assumptions for the scale factor a(t),Karamata class solutions of Friedman equation it appears that this slowly varying term exists.

Full text file: Karamata_class_solutions.pdf

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