Economics and Finance

    

On the Mathematical Model of Economic Dynamics

Authors: R. E. Liberzon

Under the most general assumptions, a resolving system of ordinary differential-differenceequations of arbitrary order is obtained.Its characteristic determinant, assuming equality of coefficients characterizing interaction between different subjects of mathematical model,is reduced to the tridiagonal Jacobi determinant.The latter is equal to the linear homogeneous difference equation, whose solution is obtained by the Daniel Bernoulli (Jacques Binet) approach,and the recurrence relation method. It is shown that for an arbitrary set of non-zerocoefficients of interaction all characteristic numbers are complex numbers with positive real parts, where from it follows that all solutions of the original system of differential equations are a linear combination of diverging harmonic oscillations.

Comments: 6 Pages. In Russian

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Submission history

[v1] 2023-05-09 01:21:46

Unique-IP document downloads: 189 times

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