Article

    Ufa Mathematical Journal
    Volume 9, Number 4, pp. 3-11

    Existence tests for limiting cycles of second order differential equations


    Arabov M.K., Mukhamadiev E.M., Nurov I.D., Sobirov H.I.

    DOI:10.13108/2017-9-4-3

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    This article takes consideration into the discovery of the limiting cycles in neighborhood of stationary point of the non - smooth second order differential equation. New conditions are found for coefficient of the equation which ensure the existence of a limiting cycle. On the basis of taken results was made sector division in a plane. Created a package of programs for drawing phase portraits in appropriate sectors.