ON ONE METHOD OF INVESTIGATION OF THE INSTABILITY OF THE DYNAMIC MODEL OF SAMUELSON-HIKS
Journal Title: Причорноморські економічні студії - Year 2018, Vol 32, Issue
Abstract
A continuous non-homogeneous differential equation of the second order is a continuous analogue of the Samuelson-Hicks model. The stability conditions of the model are studied in detail, when the coefficients of the equation are constants. The paper proposes a research method, when the demand ratio for investments is a function of time. The solution of the nonlinear equation in this case is sought by the Laplace integral transformation method. A rigorous analytical solution of the problem is obtained. Conclusions and numerical results on the found formula in special cases coincide with those known earlier.
Authors and Affiliations
A. S. Semenov, I. Yu. Ivchenko
Keywords
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