In this paper we present a study on the time cost
added to the grid computing as a result of the use of a
coordinated checkpoint / recovery fault tolerance protocol, we aim
to find a mathematical model which determined the suitable time
to save t
he checkpoints for application, to achieve a minimum
finish time of parallel application in grid computing with faults and
fault tolerance protocols, we have find this model by serial
modeling to the goal errors, execution environment and the
chosen fault tolerance protocol all that by Kolmogorov differential
equations.
Our aim of this paper is studying the problem on normal oscillations of system of capillary viscous fluids in vessel.
We prove results about the spectrum of the problem for rotating vessel and prove that the systems of root elements ( eigenelements
and associated elements ) form an Abel-Lidsky basis.
Also , we use some results from the theory of J-self adjoint operators in studying the spectrum of the problem for non-rotating vessel.
The aim of this paper is to study the spectral problem of small motions of a pendulum with a cavity filled with a system of ideal capillary fluids when the condition of statically stable in linear approximation is valid. It is proved that this proble
m has a real discrete spectrum with a limit point at and the eigenvalues for this problem are successive minima of variation ratio. It is also proved that if the operator of potential energy of a system ( pendulum + a system of ideal capillary fluids )has a negative eigenvalues, then the solutions of the initial boundary value problem are instable
