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On Some Mathematical Aspects of Autonomous Differential Equations

Author

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  • Kostadin Sheyretski

    (University of National and World Economy, Sofia, Bulgaria)

Abstract

This article is meant to give a strict mathematical explanation about class differential equations which are widely used in modeling of processes including economical ones. In a concentrated form are presented the main guidelines of analytical approach in the search of the periods of the periodic solutions. When finding the period of vibration under the effect of perturbed potential is used non-standard approach. However the obtained results are concerted to results which some well-known methods reveal.

Suggested Citation

  • Kostadin Sheyretski, 2019. "On Some Mathematical Aspects of Autonomous Differential Equations," Economic Alternatives, University of National and World Economy, Sofia, Bulgaria, issue 1, pages 149-153, March.
    • Handle: RePEc:nwe:eajour:y:2019:i:1:p:149-153
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    More about this item

    Keywords

    Nonlinear Dynamics; economic models; asymptotic methods; differential equations; periodic solutions;
    All these keywords.

    JEL classification:

    • C20 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - General
    • C51 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Construction and Estimation
    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium

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