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within I. S. Kashchenko Remove this filter Applications of Mathematics Remove this filter

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    Article

    Local dynamics of the model of a semiconductor laser with delay

    We study a model of a semiconductor laser with delay. We discuss the stability of the equilibrium and single out bifurcation parameter values. It turns out that resultant critical cases have infinite dime...

    I. S. Kashchenko, S. A. Kashchenko in Theoretical and Mathematical Physics (2023)

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    Article

    Local dynamics of equation with periodically distributed delay

    We study an equation with periodically distributed delay. The dependence of the equilibrium state stability on the parameters is investigated. We show that the stability region can have a complicated shape...

    I. S. Kashchenko, E. M. Glushevskii in Theoretical and Mathematical Physics (2022)

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    Article

    Dynamics of a singularly perturbed system of two differential equations with delay

    We study a two-dimensional singularly perturbed system with delay, which is a simplification of models used in laser physics. We analyze several cases of a small parameter multiplying the derivative in th...

    I. S. Kashchenko, E. V. Krivets in Theoretical and Mathematical Physics (2021)