The numerous methods of numerical calculations occurring in power-train tribology and transport concerning
wear bearing determination problems demand the more and more information referring the slide bearing wear
anticipation in succeeding years of machine operations. Therefore this paper presents the methods of solutions of
some specific class of ordinary non-homogeneous recurrence equations of second and higher order with variable
coefficients occurring in hydrodynamic theory of bearing wear problems.
Contrary to linear recurrence equations with constant coefficients, linear recurrence equations with variable
coefficients rarely have analytical solutions.. Numerical solutions of such equations are always practicable. In
numerous analytical methods of solutions of linear recurrence equations with variable coefficients there are usually
three research directions. The first of them depend upon the successive determination of the linear independent
particular solutions of the considered recurrence equation. The second direction to be characterized by the reduction
of the order of recurrence equation to obtain an always solved, first order recurrence equation. The third direction of
solutions of recurrence equations with variable coefficients, contains the methods of analytical solutions by means of
a summation factor. The majority of the general methods of analytical solutions of linear recurrence equations with
variable coefficients constitute an adaptation of the methods applied in solutions of suitable differential equations
In final conclusions the application of presented theory in this paper contains the the examples referring the wear
values determination of HDD bearing system in the indicated period of operating time.
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